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Recent questions and answers in Math
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Home
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CBSE XII
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Math
Math
Model Papers
(2024)
Relations and Functions
(349)
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(193)
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(341)
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(197)
Continuity and Differentiability
(393)
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Evaluate : $ \int \tan^{-1} \sqrt{ \large\frac{1-sinx}{1+sinx}}dx. $
cbse
class12
modelpaper
2012
sec-b
q18
math
answered
Aug 9
by
bhaskar.kumar582000
1
answer
A metallic sphere is placed in a uniform electric field as shown in the figure. which path is folllowed by electric field lines? why ?
cbse
class12
physics
ch-1
sec-a
q39
medium
answered
Aug 9
by
saniasalam2017
2
answers
Evaluate : $\tan^{-1} (1) + cos^{-1} ( \frac{-1}{2} )+ \sin^{-1} (\frac{-1}{2})$
cbse
class12
maths
sec-e
ch3
answered
Jul 16
by
punitakharb430
2
answers
Let A = N x N and * be a binary operation on A defined by (a,b)*(c,d)=(ac,bd), show that : (i) (A*) is commutative. (ii) (A*) is associative (iii) Find the identity element, if any, in A.
cbse
class12
modelpaper
2012
sec-c
q23
math
answered
Jul 8
by
s.kpandey26
1
answer
If $ A=\begin{bmatrix} 3 & 1 \\ 7 & 5 \end{bmatrix}$ find x and y such that $ A^2+xl=yA.\;Find\;A^{-1}.$
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q16
p8
math
sec-b
answered
Jun 20
by
vasuloki708
1
answer
Show that of all the rectangles of given area, the square has the smallest perimeter.
cbse
class12
modelpaper
2012
sec-c
q24
math
answered
Jun 9
by
anshikamaheshwari28
1
answer
For what value of k is the following function continuous at x = 2? $ f(x) = \left\{ \begin{array}{l l} 2x+1, & \quad { x < 2}\\ k, & \quad \text{ $x$ = 2} \\ 3x-1, & \quad \text{ $x$ > 2} \end{array}. \right.$
cbse
class12
modelpaper
2012
sec-b
q14
math
answered
May 29
by
dwivediprachi09
1
answer
Give an example of relation which is reflexive but neither symmetric nor transitive.
cbse
class12
modelpaper
2012
sec-a
q1
math
answered
Apr 11
by
harishahmad6
1
answer
A square piece of tin of side 24 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. What should be the side of the square to be cut off so that volume of the box is maximum?
cbse
class12
modelpaper
2012
sec-c
q24
math
answered
Apr 9
by
rahulrkchauhan123456789
1
answer
A coin is based so that the head is 3 times as likely to occur as tail. If the coin is tossed three times, find the probabilty distribution of number of tails.
cbse
class12
modelpaper
2011
sec-b
q22
math
answered
Mar 20
by
akkhola2000
1
answer
A catering agency has two kitchens to prepare food at two places A and B. From these place " Mid-day meal' is to be supplied to three different schools situated at P, Q, R. The monthly requirements of the schools are respectively 40, 40 and 50 food packets. A packet contains lunch for 1000 students. Preparing capacity of kitchen A and B are 60 and 70 packets per month respectively. The transportation cost per packet for the kitchen to school is given below. How many packets from each kitchen should be transported to school so that the cost of transportation is minimum? Also find the minimum cost.
cbse
class12
modelpaper
2008
sec-b
q24
math
answered
Mar 20
by
prakashkumarsingh.ktr
1
answer
The function $ f(x)=2 log (x-2) - x^2+4x+1 $increases in the interval.\[(a)\;(1,2)\qquad(b)\;(2,3)\qquad(c)\;(5/2,3)\qquad(d)\;(2,4)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q2
p16
math
answered
Mar 7
by
ranjani.hogwarts
1
answer
The mean and variance of a binomial distribution are $ 4 \;and\;\frac{4}{3}.\;Find\;P(X\geq1).$
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q16
p41
math
answered
Feb 26
by
Sumitchn007
1
answer
An open box is to be constructed by removing equal squares from each corner of a 3 metre by 8 metre rectangular sheet of aluminium and folding up the sides. Find the volume of the largest such box.
cbse
class12
modelpaper
2012
sec-c
q33
math
answered
Feb 23
by
pady_1
1
answer
The plane ax+by=0 is rotated about its line of intersection with the plane z=0 through an angle $\alpha$.Prove that the equation of the plane in its new position is $ax+by\pm \bigg(\sqrt {a^2+b^2}\tan \alpha\bigg)z=0$.
cbse
class12
ch11
q23
p237
exemplar
sec-c
math
answered
Feb 4
by
sanjamdeep30
1
answer
A metal has a threshold wavelength of $6000 ^{\circ} A$. Calculate its 1) threshold frequency and 2) work function of the metal in eV.
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Jan 31
by
arunamansingh5
1
answer
In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins / loses.
cbse
class12
bookproblem
ch13
misc
p583
q11
sec-b
easy
math
answered
Jan 28
by
sristijain30
2
answers
Solve the following differential equation : $ \cos^2\: x\large\frac{dy}{dx}$$+y=\tan x$
cbse
class12
modelpaper
2012
sec-b
q18
math
answered
Jan 27
by
chodadeepak14
1
answer
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
Jan 24
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
Jan 24
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
Jan 23
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
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
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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