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CBSE XII
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Math
Math
Model Papers
Relations and Functions
Inverse Trigonometric Functions
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Application of Derivatives
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Using matrices, solve the following : $2x+y-3z=13; x+y-z=6 ;2x-y+4z = -12$
cbse
class12
modelpaper
2012
sec-c
q23
math
answered
Jul 9
by
hjaspinder
1
answer
Use definite integration, find the area of triangle whose vertices are (-1,6),(1,2) and (5,4).
cbse
class12
modelpaper
2012
sec-c
q25
math
answered
May 21
by
sreejaunnikrishnan161
1
answer
An AC voltage of peak $20\;V$ is connected in series with a silicon diode and a load resistance of $500 \Omega$. The forward resistance of the diode is $10 \Omega$ and the barrier voltage is $0.7\;V$. Find the peak current through diode and the peak voltage across the load. What will happen to these values if the diode is assumed to be ideal?
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Apr 2
by
manishkr1456
1
answer
Show that the area enclosed by the circle $ x^2+y^2=64a^2$ and the parabola $y^2=12ax$ is $ a^2 \bigg(\frac{16}{\sqrt 3}+\large\frac {64\pi}{\sqrt 3}\bigg)$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q5
p31
math
answered
Apr 1
by
aparme03
1
answer
Let $f:R_+\rightarrow[-5,\infty) $ given by $f(x)=9x^2+6x-5.$ show that f is invertiable with $ f^{-1}(y)=\frac{\sqrt{y+6}-1}{3}.$
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q16
p3
math
sec-b
answered
Mar 21
by
hk0312109
1
answer
Give an example to show that the relation R in the set of natural numbers, defined by \( R = ( (x,y), x, y \in\: N, x \leq \: y^2) \) is not transitive.
cbse
modelpaper
2012
sec-a
q1
answered
Mar 20
by
neelurani06041980
1
answer
The area of the region in the first quadrant enclosed by the x-axis,the line y=x and the circle $x^2+y^2=32$ is \begin{array}{1 1}(A)\;16\pi\; sq.units & (B)\;4\pi \;sq.units\\(C)\;32\pi\; sq.units & (D)\;24\pi\;sq.units \end{array}
cbse
class12
ch8
q27
p178
objective
exemplar
sec-b
difficult
math
answered
Mar 17
by
kharbans823
2
answers
What is the degree of the following differential equation? $ y\large\frac{d^2y}{dx^2}+\bigg(\frac{dy}{dx} \bigg)^3$$=x \bigg( \large\frac{d^3y}{dx^3} \bigg)^2 $
cbse
class12
modelpaper
2012
sec-a
q7
math
answered
Mar 17
by
anilmathappsc
1
answer
Find the order and degree of the differential equation $\bigg[ 1+ \bigg(\large \frac{dy}{dx} \bigg)^2 \bigg]^{\large\frac{3}{2}} = \frac{d^2y}{dx^2} $
cbse
class12
modelpaper
2012
sec-a
q7
math
answered
Mar 17
by
anilmathappsc
1
answer
Find the area of the region enclosed between the circles $ x^2+y^2=1\;and\;\bigg(x-\frac{1}{2}\bigg)^2+y^2=1$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q23
p32
math
answered
Mar 16
by
msq6786
1
answer
Let X denote the sum of the numbers obtained when two fair dice are rolled. Find the variance and standard deviation of X.
cbse
class12
bookproblem
ch13
sec4
p571
q13
sec-b
medium
math
answered
Feb 18
by
surafelalemgirma91
2
answers
Find the equation of the plane passing through the intersection of planes \( 4x-y+z=10\: and \: x+y-z=4\) and parallel to the line with direction ratios < 2, 1, 1>. Find also the perpendicular distance of (1, 1, 1) from the plane.
cbse
class12
modelpaper
2012
sec-c
q24
math
answered
Feb 17
by
jyotiverma221997
1
answer
Find the area of the segment cut off from the parabola $ y^2=2x$ by the line $ y=4x-1$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q4
p31
math
answered
Dec 22, 2019
by
gourishanker2431
1
answer
Let A = set of boys of XII class in some school. Let a R b, if and only if a and b use unfair means in the exam, \( a, b \in A\) Is R a transitive relation?
cbse
class12
modelpaper
2012
sec-b
q11
math
answered
Oct 25, 2019
by
Dadwalgaurav07
1
answer
To test the quality of electric bulbs produced in a factory, two bulbs are randomly selected from a large sample without replacement. If either bulb is defective, the entire lot is rejected. Suppose a sample of 200 bulbs contains 5 defective bulbs. Find the probability that the sample will be rejected.
cbse
class12
modelpaper
2012
sec-b
q22
math
answered
Sep 18, 2019
by
addisutheking
1
answer
find the equation of the normal to the curve y=x^3+2x^2 at x=0 find the coo
math
answered
Jul 20, 2019
by
noorlh
1
answer
From the point P(1, 2, 4 ) a perpendicular is drawn on the plane \( 2x+y-2z+3 = 0 \). Find the equation of the length and coordinates of the foot of the \( \bot \)
cbse
class12
modelpaper
2012
sec-c
q27
math
answered
Jul 20, 2019
by
vikashkumarpaswan858
1
answer
P(A speaks truth is) = 4/5 . A coin is tossed. 'A' reports that a head appears. The probability that actually there was a head is.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q43
p43
math
answered
Jul 13, 2019
by
fad.vhora
1
answer
A speaks truth 8 times out of 10 times. A dice is tossed. He reports that it was 5. What is the probability that it was actually 5?
cbse
class12
modelpaper
2012
sec-b
q22
math
answered
Jul 13, 2019
by
fad.vhora
1
answer
A cylindrical metallic wire is stretched to increase its length by $5\%$. Calculate the percentage change resistance.
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Jul 9, 2019
by
jesanivar
1
answer
Find the volume of the tetrahedron formed by the four planes $x+y=0,y+z=0,z+x=0,x+y=1$
cbse
class12
ch10
answered
Jul 9, 2019
by
meena.clay6
1
answer
Given P(A) = 0.3, P(B) = 0.2, Find P(B/A) if A and B are mutually exclusive events.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q3
p41
math
answered
Jul 1, 2019
by
abhav31
5
answers
If $ f^1(x)=g(x)\;and\;g^1(x)=-f(x)$ for all n and $f(2)=f^1(2)=4,$ find the value of $f^2(24)+g^2(24)$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q5
p11
math
sec-a
answered
Jun 24, 2019
by
premkht
1
answer
Find the area bounded by the x-axis part of the curve $ y=1+\Large\frac{8}{x^2}$ and the ordinates x = 2 and x = 4 If the ordinate at x = a divides the area into two equal parts find 'a'
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q2
p31
math
answered
Jun 8, 2019
by
keerthanapradeeshbabu
1
answer
A company makes two kinds of belts, belt A is of pure leather and belt B is macro based. The respective profits are Rs.40 and Rs.30 per belt. Each belt of type A requires twice as much time as a belt of type B and if all the belts were of type B a company could make 1000 belts per day. The supply of leather and macro is sufficient for only 8000 belts per day (both A and B combined). Belt A requires a fancy buckle and only 4000 buckles are available. There are only 7000 buckles per day available for belt B. What should be the daily production of each belt to have maximum profit?
cbse
class12
modelpaper
2012
sec-c
q28
math
answered
Jun 3, 2019
by
sripada.teja
1
answer
In Young’s double slit experiment, the two slits $0.15\;m$ apart are illuminated by monochromatic light of wavelength 450nm.$ The screen is $1.0\;m$ away from the slits. 1. Find the distance of the second a) bright fringe b) dark fringe from the central maximum. 2. How will the fringe pattern change, if the screen is moved away from the slits?
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
May 30, 2019
by
utkarshguptamahan
1
answer
Show that the volume of the greatest cylinder that can be inscribed in a cone of height 'h' and semi-vertical angle \( \alpha \) is \( \large\frac{4}{27}\pi h^3\tan^2 \alpha \).
cbse
class12
modelpaper
2012
sec-c
q24
math
answered
Apr 15, 2019
by
supriyadutta98
1
answer
Differentiate ‘Cry’ and ‘cry’
cbsc
class 12
biology
biodiversity and its applications
sec-b
answered
Apr 9, 2019
by
priyanka.clay6
1
answer
If A is a square matrix of order 3 such that |adj A|=64. Find |A'|.
cbse
class12
modelpaper
2012
sec-a
q4
math
answered
Apr 8, 2019
by
rp075974
1
answer
A square matrix A, of order 3, has | A | = 5, find | A.adj.A |.
cbse
modelpaper
2012
sec-a
q5
answered
Apr 8, 2019
by
rp075974
1
answer
If A is square matrix of order 3 such that | adj.A |=81, find | A |.
cbse
class12
modelpaper
2012
sec-a
q1
math
answered
Apr 8, 2019
by
rp075974
2
answers
If A is an invertible matrix of order 3 and |A|=5 then find [adj.A].
cbse
class12
modelpaper
2012
sec-a
q4
math
answered
Mar 20, 2019
by
vinothperiyasamy.1991
1
answer
A small manufacturer has employed 5 skilled men 10 semi - skilled men and makes an article in two qualities deluxe model and an ordinary model. The making of a deluxe model requires 2 hrs work bt skilled man and 2 hrs work by a semi skilled man. The ordinary model requires 1 hr by a skilled man and 3 hrs by a semi skilled man. By union rules no mam may work more than 8 hrs per day. The manufactures clear profit on deluxe model is Rs.15 and an orsinary model is Rs. 10. How many of each type should be made in order to maximize his total daily profit.
cbse
class12
math
modelpaper
mock-test-series-2015
sec-c
answered
Mar 18, 2019
by
neenanagpal21
1
answer
Find the equation of the plane which contains the line of intersection of the planes $ \overrightarrow r. (\hat i + 2\hat j + 3\hat k ) -4 = 0 \overrightarrow r. (2\hat i + \hat j - \hat k ) + 5 = 0$ and which is perpendicular to the plane $\overrightarrow r. (5\hat i + 3\hat j - 6\hat k ) + 8 = 0 $ .
cbse
class12
modelpaper
2012
sec-c
q27
math
answered
Mar 17, 2019
by
kavithakavitha1805
1
answer
Three persons,A,B and C,fire at a target in turn,starting with A.Thier probability of hitting the target are 0.4,0.3 and 0.2 respectively.The probability of two hits is
cbse
class12
ch13
q76
p282
objective
exemplar
sec-a
easy
math
answered
Mar 12, 2019
by
meena.clay6
1
answer
Let * be a binary operation on set Q of rational numbers defined as a*b = \( \large\frac{3ab}{7} \). Write the identity for * , if any.
cbse
class12
modelpaper
2012
sec-a
q1
math
answered
Mar 11, 2019
by
goguramchoudhary
1
answer
(a)Draw a circuit diagram of an n-p-n transmitter with its emitter base function forward biased and base collector junction reverse biased. Describe briefly its properties (b) Explain how a transistor in active state exhibits a low resistance at its emitter base junction and high resistance at its base collector junction .
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Mar 5, 2019
by
ujjawalkthakur
1
answer
A matrix A, of order 3 x 3, has determinant 4 find the value of |3A|.
cbse
class12
modelpaper
2012
sec-a
q3
math
answered
Feb 24, 2019
by
hargunnsingh633
1
answer
Find the equation of the plane passing through the points ( 1, 2, 3 ) and (0, -1, 0 ) and parrallel to the line, \( \large\frac{x-1}{2} = \frac{y+2}{3} = \frac{z}{-3} \).
cbse
class12
modelpaper
2012
sec-b
q21
math
answered
Feb 21, 2019
by
ayankumarroy7
1
answer
Which one of the following is a bird flu virus?
cbse
class12
biology
zoology
neet
sec-a
answered
Feb 14, 2019
by
lpmvenkateswaran621
1
answer
In a metre bridge experiment a student observed a balance point at the point J, where AJ = l. Draw the equivalent Wheatstone Bridge circuit diagram for this setup The values of R and X are both doubles and then interchanged. What would be the new position of the balance point? If in this set up, the galvanometer and battery are interchanged at the balance position, how will the balance point get affected?
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Feb 11, 2019
by
riyamalik2001oct
1
answer
Let N be the set of all natural numbers and R be the relation on N x N defined by (a, b) R (c, d) if ad = bc. Show that R is an equivalence relation.
cbse
modelpaper
2012
sec-b
q11
answered
Feb 10, 2019
by
gopalkryadavsbg
1
answer
Two bags A and B contain 4 white and 3 black balls and 2 white,2 black balls respectively. From bag A, two balls are transferred to bag B. Find the probability of drawing (a) 2 white balls from Bag B? (b) 2 black balls from bag B? (c) 1 white and 1 black ball from bag B?
cbse
class12
modelpaper
2012
sec-c
q28
math
answered
Jan 28, 2019
by
cherub2001dec
1
answer
Find the equation of a line passing through the point (2,1,3) and perpendicular to the lines $ \large\frac{x-1}{1} = \frac{y-2}{2} = \frac{z-3}{3}$ and $\large\frac{x}{-3}=\frac{y}{2}=\frac{z}{5} $.
cbse
class12
modelpaper
2012
sec-b
q21
math
answered
Jan 26, 2019
by
abinshaji47
1
answer
Relation R in the set of Z of all integers defined as R = {(x, y) : x-y is an integer }.
cbse
class12
modelpaper
2012
sec-a
q1
math
answered
Jan 26, 2019
by
gunjankumarshahi9199
1
answer
Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values X has the following form, where k is some unknown constant. \[ p(X=x) = \left\{ \begin{array}{l l}0.1, & \quad if{ x = 0}\\ kx, & \quad if{ x = 1 \: or\: 2} \\ k(5-x), & \quad if{ x = 3 \: or\: 5} \\ 0, & \quad \: otherwise \end{array}. \right. \] (i) Find the value of K (ii) What is the probability that you study atleast two hours? Exactly two hours? Atmost two hours?
cbse
class12
modelpaper
2012
sec-c
q29
math
answered
Jan 22, 2019
by
pulkityadav56
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
asked
Jul 5, 2017
by
pady_1
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
asked
Jun 14, 2017
by
pady_1
1
answer
find intervals in which function given by f(x) = sin 3x where x belongs [0, pi/2] is 1 increasing 2 decreasing
asked
Feb 26, 2017
by
myselfdishu
1
answer
If the points $(1,1,p)$ and $(-3,0,1)$ are at equidistant from the plane $\overrightarrow {r} . (3 \hat {i} +4 \hat {j} -12 \hat {k}) + 13 = 0, $ then find the value of p.
cbse
class12
maths
ch10
sec-c
asked
Dec 28, 2016
by
priyanka.c
1
answer
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