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Recent questions and answers in Math
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CBSE XII
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Math
Math
Model Papers
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(197)
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(393)
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Prove that relation R defined on the set N of natural numbers by \[x\;R\;y \Leftrightarrow 2x^2-3xy+y^2=0\] is not symmetric but it is reflexive.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q27
p4
math
sec-b
answered
6 hours
ago
by
nimmisivapuri.d5
1
answer
Let $f : A \rightarrow B$ be a given function. A relation R in the set A is given by $R = {(a,b) \varepsilon A \times A : f(a) = f(b)}.$ Check, if R is an equivalence relation.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q23
p4
math
sec-b
answered
7 hours
ago
by
nimmisivapuri.d5
1
answer
Find the values of P so that the lines $ \Large\frac{1-x}{3}=\frac{7y-14}{2p}=\frac{z-3}{2}$ and $ \Large\frac{7-7x}{3p}=\frac{y-5}{1}=\frac{6-z}{5}$ are at right angles.
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q16
p38
math
answered
1 day
ago
by
adarsh06032000
1
answer
find the equation of the normal to the curve y=x^3+2x^2 at x=0 find the coo
math
asked
Jan 18
by
samwarke2000
0
answers
Two cards are drawn one by one without replacement from well shuffled pack of 52 cards. Find the probability distribution of the number of aces.
cbse
class12
modelpaper
2012
sec-b
q15
math
answered
Jan 17
by
mahawarravi036
2
answers
Probabilities of solving a specific problem independently by A and B are \( \frac{1}{2} \: and \frac{1}{3} \) respectively. If both try to solve the problem independently, find the probability that (i) the problem is solved (ii) exactly one of them solves the problem.
cbse
class12
modelpaper
2012
sec-b
q22
math
answered
Jan 14
by
next2unonu
1
answer
There are two bags I and II. Bag I contains 2 white and 3 red balls and Bag II contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn from bag II.
cbse
class12
modelpaper
2012
sec-b
q21
math
answered
Jan 3
by
zawude.tame
1
answer
Three persons X, Y,Z throw a die in succession till one gets a ' six ' and wins the game. Find their respective probabilities of winning.
cbse
class12
modelpaper
2012
sec-b
q22
math
answered
Dec 17, 2017
by
kumarisoni.chand2808
1
answer
True or False: If the determinant $\small\begin{vmatrix}x+a & p+u & l+ f\\y+b & q+v & m +g\\z+c & r+w & n + h\end{vmatrix}$ splits into exactly $k$ determinants of order $3$, each element of which contains online term,then the value of $k$ is $8$.
cbse
class12
ch4
q56
p84
true-or-false
exemplar
sec-a
math
answered
Dec 6, 2017
by
priyanka.c
1
answer
Find the scalar components and magnitude of the vector joining the points $P (x_1, y_1, z_1)$ and $Q (x_2, y_2, z_2)$.
cbse
class12
bookproblem
sec-a
easy
ch10
math
answered
Dec 6, 2017
by
priyanka.c
1
answer
Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contains atleast 8 units of vitamin A and 11 units of vitamin B. Food P costs Rs. 60/kg and food Q costs Rs. 80/kg. Food P contains 3 units/kg of vitamin A and 5 units of vitamin B, while food Q contains 4 units/kg of vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture.
cbse
class12
modelpaper
2012
sec-c
q29
math
answered
Dec 2, 2017
by
taha.ba16
1
answer
Evaluate : $ \begin{bmatrix} a+ib & c+id \\ -c+id & a-ib \end{bmatrix} $
cbse
class12
modelpaper
2012
sec-a
q3
math
answered
Nov 22, 2017
by
rabindrasinghrouth
1
answer
Find the differential equation of the family of ellipses having foci on y- axis and centre at the origin.
cbse
class12
modelpaper
2012
sec-b
q11
math
answered
Nov 12, 2017
by
sharmaeku25
1
answer
Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point ( x, y ) is equal to the sum of the coordinates of the point
cbse
class12
modelpaper
2012
sec-b
q19
math
answered
Nov 11, 2017
by
debnathsunita69
1
answer
Four hydrogen nuclei combine to form a helium nucleus, what amount of energy in mev will a released in this process?
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Oct 17, 2017
by
balaramshil1
1
answer
Find the area of the smaller part of the circle \( x^2+y^2=a^2\) cut off by the line \( x=\large\frac{a}{\sqrt 2}\)
cbse
class12
modelpaper
2012
sec-c
q25
math
answered
Sep 15, 2017
by
kushagrapatel1997
2
answers
Draw a plot showing the variation of photo electric current against the intensity of incident validation on a given photo sensitive surface.
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Sep 4, 2017
by
throttlespec
1
answer
A letter is known to have come either from TATA NAGAR or from CALCUTTA.On the envelope,just two consecutive letter TA are visible.What is the probability that the letter came from TATA NAGAR.
cbse
class12
ch13
q44
p277
exemplar
math
sec-b
answered
Jul 30, 2017
by
Prathapchaithanya99
2
answers
A wire of length 36 cm is cut into two pieces. One of the pieces is turned in the form of a square and the other in the form of an equilateral triangle. Find the length of each piece so that the sum of the areas of the two be minimum.
cbse
class12
modelpaper
2012
sec-c
q24
math
answered
Jul 28, 2017
by
pady_1
1
answer
A retired person has 70000 to invest and two types of bonds are available in the market for investment. First type of bond yields an annual income of 8% on the amount invested and the second type of bond yields 10% per annum. As per norms, he has to invest minimum of 10000 in the first type and not more than 30000 in the second type. How should he plan his investment, so as to get maximum return after one year of investment. Make it an L.P.P. and solve the above problem.
cbse
class12
modelpaper
2012
sec-c
q28
math
answered
Jul 28, 2017
by
yashingrodiya1212
1
answer
Let N denote the set of all natural numbers and R be the relation on N x N defined by $ (a,b)R(c,d) \Leftrightarrow ad(b + c) = bc(a + d).$ Show that R is an equivalence relation on N x N.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q21
p4
math
sec-b
answered
Jul 20, 2017
by
saurabh.kumarshukla1995
1
answer
Give an account of Hershey and Chase experiment. What did it conclusively prove? If both DNA and pro
cbse
class12
ch6
exemplar
theoryquestion
biology
sec-e
molecular basis of inheritance
answered
Jul 5, 2017
by
pady_1
1
answer
If the line ax+by+c = 0 is normal to the curve xy = 1 then \[(a)\;a>0,b>0 \qquad (b)\;a<0,b<0 \qquad(c)\;a<0,b>0\qquad(d)\;a<0,b<0.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q13
p17
math
answered
Jul 5, 2017
by
toshit.jain
1
answer
During reproduction, the chromosome number (2n) reduces to half (n) in the gametes and again the ori
cbse
class12
ch3
exemplar
theoryquestion
biology
sec-a
human reproduction
answered
Jun 14, 2017
by
pady_1
1
answer
Form the differential equation of the family of circles having centre on $y$-axis and radius $3$ units.
cbse
class12
bookproblem
ch9
sec3
q10
p391
sec-b
math
answered
Jun 5, 2017
by
rslv8331
2
answers
The total revenue received from the sale of x units of a product is given by $ R(x) = 13x^2 + 26x + 15 $ Find the marginal revenue when x = 7.
cbse
class12
modelpaper
2012
sec-a
q5
math
answered
Jun 3, 2017
by
ranjani.hogwarts
1
answer
Find the area included between the parabolas $ y^2=4ax\;and\;x^2=4ay$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q3
p31
math
answered
May 24, 2017
by
sai.manohar044
1
answer
Find the equation of the plane passing through the point (1,6,3) and perpendicular to the plane 2x+3y-z = 7
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q5
p37
math
answered
May 22, 2017
by
vikkyravi0106
1
answer
find intervals in which function given by f(x) = sin 3x where x belongs [0, pi/2] is 1 increasing 2 decreasing
answered
May 13, 2017
by
nikunjjain285
1
answer
The ground state energy of hydrogen atom is $-13.6\;eV$ 1.What are the potential and kinetic energy of an electron in the 3rd excited state? 2.If the electron jumps to the ground state from the third excited state, calculate the frequency of the photon emitted.
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
May 11, 2017
by
balaramshil1
1
answer
A company has two plants to manufacture bicycles. Plant I manufactures 70% of the bicycles and plant II manufactures 30%. At plant I 80% of the bicycles are rated as of standard quality and a plant II 90% of the bicycles are rated as of standard quality. A bicycle is choosen at random and is found to be of standard quality. What is the probability that it has come from plant II?
cbse
class12
modelpaper
2012
sec-c
q29
math
answered
Apr 14, 2017
by
shrutibhagat2215
1
answer
A company sells two different products A and B. The products are produced in a common production process which has total capacity of 500 man hours. It takes 5 hours to produce a unit of A and 3 hours to produce a unit of B. The demand in the market shows that the maximum number of units of A that can sold is 70 and that of B is 125. Profit on each unit of A is Rs. 20 and on B is Rs.15. How many units of A and B should be produced to maximise the profit? Form an L.P.P and solve it graphically.
cbse
class12
modelpaper
2012
sec-c
q28
math
answered
Feb 16, 2017
by
meena.p
1
answer
If $( \overrightarrow a \: and \: \overrightarrow b)$ are two vectors such that $( | \overrightarrow a. \overrightarrow b| = | \overrightarrow a x \overrightarrow b |)$, then what is the angle between $( \overrightarrow a \: and \: \overrightarrow b)?$
cbse
class12
modelpaper
2012
sec-a
q9
math
answered
Feb 16, 2017
by
suganyadevi.p
1
answer
Using properties of determinants, solve the following for x : $\begin{vmatrix} x+a & x & x \\ x & x+a & x \\ x & x & x+a \end{vmatrix} = 0 $
cbse
class12
modelpaper
2012
sec-b
q12
ch4
bookproblem
misc
q5
p141
math
answered
Feb 16, 2017
by
meena.p
1
answer
Solve the differential equation : $(x+y)dy + (x-y) dx=0$
cbse
class12
modelpaper
2012
sec-c
q26
math
answered
Feb 16, 2017
by
suganyadevi.p
1
answer
A card from a pack of 52 playing cards is lost. Two cards are drawn from the remaining cards and found to be both spade. (i) Find the probability of lost card being a spade card.(ii)While playing in ground you found a purse containing rupees and some other documents,what will you do?
cbse
class12
modelpaper
2012
sec-c
q29
math
answered
Feb 16, 2017
by
meena.p
1
answer
If vectros $ \overrightarrow a = 2\hat i + 2\hat j +3\hat k , \overrightarrow b = -\hat i + 2\hat j +\hat k \: and \: \overrightarrow c = 3\hat i + \hat j $ are such that $( \overrightarrow a +\lambda \overrightarrow b)$ is perpendicular to $( \overrightarrow c )$, then find the value of $( \lambda )$
cbse
class12
modelpaper
2012
sec-b
q20
math
answered
Feb 16, 2017
by
suganyadevi.p
1
answer
If $x=a(\theta - \sin \theta) \quad ; y= a(1+\cos \theta) $ find $\large\frac{d^2y}{dx^2}$ at $\theta =\large\frac{\pi}{2}$
cbse
class12
ch5
additionalproblem
sec-b
q7
answered
Feb 16, 2017
by
meena.p
1
answer
The scalar product of the vector $ \overrightarrow a = \hat i + \hat j + \hat k$ with a unit vector along the sums of vectors $ \overrightarrow b = 2 \hat i + 4\hat j - 5 \hat k$ and $ \overrightarrow c = \lambda \hat i + 2 \hat j + 3 \hat k\;$ is equal to one. Find the value of $ \lambda $ and hence find the unit vector along $ \overrightarrow b + \overrightarrow c$
modelpaper-2014-chennai
cbse
class12
math
sec-b
answered
Feb 16, 2017
by
meena.p
1
answer
Evaluate : \[ \int_{-a}^a \sqrt{\frac{a-x}{a+x}}dx \]
cbse
class12
modelpaper
2012
sec-c
q26
math
answered
Feb 16, 2017
by
meena.p
1
answer
If $x^{my^n}=(x+y)^{m+n}$, prove that $\large\frac{dy}{dx}=\frac{y}{x}$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
answered
Feb 15, 2017
by
meena.p
1
answer
If $A$ is a square matrix such that $A^2=A$, then write the value of $7A -(I+A)^3$ where $I$ is an identity matrix.
modelpaper-2014-chennai
cbse
class12
math
sec-a
answered
Feb 15, 2017
by
meena.p
1
answer
A wire of length 36 cm is cut into two pieces. One of the pieces is turned in the form of a square and the other in the form of an equilateral triangle. Find the length of each piece so that the sum of the areas of the two be minimum.
cbse
class12
modelpaper
2005
sec-c
q17
math
answered
Feb 15, 2017
by
meena.p
1
answer
In a hurdle race, a player has to cross 10 hurdles. The probability that he will clear each hurdle is \( \frac{5}{6} \), What is the probability that he will knock down fewer than 2 hurdles.
cbse
class12
modelpaper
2012
sec-b
q21
math
answered
Feb 15, 2017
by
meena.p
1
answer
Assume that the chances of a patient having a heart attack is 40%. It is assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chance by 25%. At a time, a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?
cbse
class12
modelpaper
2012
sec-c
q29
math
answered
Feb 15, 2017
by
meena.p
1
answer
If a point charge be rotated in an arc of radius r around a change q, what will be the workdone ? explain
cbse
class12
physics
ch-1
sec-a
q48
difficult
answered
Feb 15, 2017
by
meena.p
1
answer
Show that the volume of the greatest cylinder which can be inscribed in a cone of height h and semivertical angle $ \alpha, \: is \: \large\frac{4}{27}$$ \pi \: h^3\: tan^2\: \alpha $
cbse
class12
modelpaper
2012
sec-c
q24
math
answered
Feb 15, 2017
by
asewa44
1
answer
A variable plane is at constant distance p from the origin and meet the axes in A, B & C. Show that the locus of the centroid of the tetrahedron $\bigtriangleup ABC\;is\; \Large\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=\frac{16}{p^2}$
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q25
p38
math
answered
Feb 4, 2017
by
loserlady2lol
1
answer
A variable plane which remains at a constant distance 3p from the origin cuts the co-ordinate axes at A, B & C. Show that the locus of the centroid of the $ \bigtriangleup ABC\;is\; \Large\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=\frac{1}{p^2}$
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q24
p38
math
answered
Feb 4, 2017
by
loserlady2lol
1
answer
Which one of the following is a bird flu virus?
cbse
class12
biology
zoology
neet
sec-a
asked
Jan 25, 2017
by
priyanka.c
0
answers
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