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CBSE XII
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Math
Math
Model Papers
Relations and Functions
Inverse Trigonometric Functions
Matrices
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Continuity and Differentiability
Application of Derivatives
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Application of Integrals
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If O be the origin and the coordinates of P be (1, 2, – 3), then find the equation of the plane passing through P and perpendicular to OP.
cbse
class12
bookproblem
ch11
misc
p499
q16
sec-b
medium
math
asked
Feb 3, 2014
by
rvidyagovindarajan_1
1
answer
If the lines $\large\frac{2x-1} {-3} = \frac{y-2}{2k} = \frac{z-3}{2}$ and $\large\frac{x-1}{3k} = \frac{1-2y}{1} = \frac{z-6}{-5}$ are perpendicular, find the value of k.
class12
cbse
easy
sec-a
ch11
additionalproblem
math
asked
Feb 3, 2014
by
rvidyagovindarajan_1
1
answer
Find $|\overrightarrow x|$, if for a unit vector $\overrightarrow a,\:(\overrightarrow x-\overrightarrow a).(\overrightarrow x+\overrightarrow a)=15$
cbse
class12
additionalproblem
ch10
sec-a
easy
vector-algebra
math
asked
Feb 3, 2014
by
rvidyagovindarajan_1
1
answer
If the sum of two unit vector is a unit vector, then what is the angle between them?
cbse
class12
additionalproblem
ch10
sec-a
medium
vector-algebra
math
asked
Feb 3, 2014
by
rvidyagovindarajan_1
1
answer
A firm has to transport 1200 packages using large vans which can carry 200 packages each and small vans which can take 80 packages each.The cost for engaging each large van is Rs 400 and each small van is Rs 200.Not more than Rs 3000 is to be spent on the job and the number of large vans cannot exceed the number of small vans.What will be the minimum cost?
cbse
class12
ch12
q17
p253
exemplar
sec-c
difficult
math
asked
Feb 1, 2014
by
rvidyagovindarajan_1
1
answer
A bag contains 4 balls. Two balls are drawn at random and are found to be white. What is the probability that the bag has 3 white balls.
cbse
class12
ch13
additionalproblem
sec-c
difficult
math
jeemain
probability
asked
Jan 31, 2014
by
rvidyagovindarajan_1
1
answer
$ \text{If } \begin{vmatrix} 2 x&5 \\ 8&x \end{vmatrix} = \begin{vmatrix} 4&5 \\ 8&3 \end{vmatrix},then\; x\; is\; equal\; to$
cbse
class12
bookproblem
ch4
sec1
q8
p109
easy
sec-a
math
asked
Jan 31, 2014
by
rvidyagovindarajan_1
1
answer
By using the properties of definite integrals,evaluate the integral $ \int\limits_{-10}^{10}\mid x+2 \mid\;dx$
cbse
class12
additionalproblem
ch7
sec-b
medium
math
asked
Jan 31, 2014
by
balaji
1
answer
If $x,y,z$ are all distinct and $\begin{vmatrix}x&x^2&1+x^3\\y&y^2&1+y^3\\z&z^2&1+z^3\end{vmatrix}=0$ then the value of $\;\large\frac{-1}{xyz}$ is
cbse
class12
additionalproblem
ch4
sec-b
medium
math
asked
Jan 30, 2014
by
balaji.thirumalai
1
answer
If $A= \; \begin{bmatrix} 1& 0 &0 \\ 2 & 3 & 4\\ 0&1 & 2 \end{bmatrix}$, then the value of $A.(Adj\:A)$ is?
cbse
class12
ch4
additionalproblem
easy
sec-a
math
asked
Jan 30, 2014
by
rvidyagovindarajan_1
1
answer
If $A=\begin{bmatrix}2 & 3\\5 & -2\end{bmatrix}$ then express $A^{-1}$ in terms of $A$
cbse
class12
additionalproblem
ch3
sec-a
math
asked
Jan 30, 2014
by
rvidyagovindarajan_1
1
answer
Suppose you roll 5 dice and sum up the highest 3 numbers. What is the probability that the sum is 18?
cbse
class12
ch13
additionalproblem
sec-b
difficult
math
jeemain
probability
asked
Jan 30, 2014
by
balaji
1
answer
Suppose that 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.
cbse
class12
bookproblem
ch13
misc
p582
q3
sec-b
medium
math
asked
Jan 30, 2014
by
balaji
1
answer
What is the angle between following planes $2x-3y+4z=1$ and $-x+y=4$?
cbse
class12
additionalproblem
ch10
sec-a
easy
math
asked
Jan 30, 2014
by
balaji
1
answer
What is the area of the parallelogram having diagonals $ 3\bar{i}+\bar{j}-2\bar{k}\;and\;\bar{i}-3\bar{j}+4\bar{k}$?
cbse
class12
additionalproblem
ch10
sec-a
medium
math
asked
Jan 30, 2014
by
balaji
1
answer
If $e^{x+y}=xy,$ what is $\large\frac{dy}{dx}$?
cbse
class12
additionalproblem
ch5
sec-a
medium
math
jeemain
limits-continuity-and-differentiability
differentiability
asked
Jan 29, 2014
by
balaji
1
answer
Given $A=\begin{bmatrix} 3 & -3 & 4 \\2 & -3 & 4 \\0 & -1 & 1 \end{bmatrix}$ How can we express $A^{-1}$ in terms of A?
cbse
class12
additionalproblem
sec-a
matrices-and-determinants
jeemain
ch3
math
difficult
asked
Jan 29, 2014
by
balaji
1
answer
Let $(f:R \to R)$ be defined as $(f(x)=2x+3.)$Find the function $(g(x):R \to R)$ such that $(g\;o\;f = f\;o\;g = I_R.)$
cbse
class12
additionalproblem
ch1
misc
sec-b
easy
math
jeemain
sets-relations-and-functions
relations-and-functions
asked
Jan 29, 2014
by
balaji
1
answer
If $A=\begin{bmatrix}2 & sec^{-1}x\\-1 & cosec^{-1} x \end{bmatrix}$ is a singular matrix then find the value of $x$
cbse
class12
matrices
additionalproblem
medium
sec-a
ch3
math
jeemain
matrices-and-determinants
asked
Jan 28, 2014
by
rvidyagovindarajan_1
1
answer
If $3\tan^{-1}x+4\cot^{-1}x=2\pi$ then $ x$ =?
cbse
class12
ch2
q22
p37
objective
exemplar
easy
sec-a
math
jeemain
trigonometry
inverse-trignometric-functions
asked
Jan 28, 2014
by
rvidyagovindarajan_1
1
answer
Find the value of $\tan({\frac{1}{2}}\sin^{-1}{\frac{1}{4}})$
cbse
class12
ch2
q18
p37
exemplar
medium
sec-b
math
asked
Jan 28, 2014
by
rvidyagovindarajan_1
1
answer
If $\ast$ is a binary operation on the set $(\{0, 1, 2, 3, 4, 5\})$ defined as \[ a \ast b = \left\{ \begin{array} {1 1} a+b, & \quad \text{ if a$+$b $<$ 6} \\ a+b-6, & \quad \text{ if a+b $\geq$ 6} \\ \end{array} \right. \] then draw the composition table for the operation and find the identity element and inverse of $4$ if exists.
ch1
cbse
class12
sec-b
medium
additionalproblem
math
asked
Jan 27, 2014
by
rvidyagovindarajan_1
1
answer
$\int\;\large\frac{a\sin x+6}{cos^2x}$$dx$
jeemain
math
integral-calculus
cbse
class12
ch7
ch8
easy
asked
Jan 27, 2014
by
priyakarthick05_1
1
answer
$\int\;\large\frac{1}{1+cos x} \;dx$
jeemain
math
integral-calculus
cbse
class12
ch7
ch8
easy
asked
Jan 24, 2014
by
yamini.v
1
answer
Show that the general solution of the differential equation dy/dx+(y^2+y+1)/(x^2+x+1)=0 is given by (x+y+1)=A(1-x-y-2xy), where A is parameter.
asked
Jan 16, 2014
by
ruku1723_1
1
answer
Solve the following differential equation: √(1+x^2+y^2+x^2 y^2 )+xy dy/dx=0
asked
Jan 16, 2014
by
ruku1723_1
0
answers
Solve the differential equation: dy/dx=(x+y+1)/(x+y)
asked
Jan 16, 2014
by
ruku1723_1
1
answer
Solve the differential equation: dy/dx=(x+y+1)/(x+y)
asked
Jan 16, 2014
by
ruku1723_1
0
answers
Solve the differential equation: dy/dx=(x+y+1)/(x+y)
asked
Jan 16, 2014
by
ruku1723_1
0
answers
A man fires 4 bullets on a thief.The probability that the thief will be killed by one bullet is 0.6. Findtheprobabilitythatthethiefisstillalive.
asked
Jan 15, 2014
by
ruku1723_1
0
answers
A die is thrown120 times and getting 1 or 5 is considered success. Find the mean,varianceof numberofsuccesses.
asked
Jan 15, 2014
by
ruku1723_1
1
answer
SHOW THAT THE SEMI VERTICAL ANGLE OF THE CONE OF THE MAXIMUM VOLUME AND OF GIVEN SLANT HEIGHT IS
asked
Jan 9, 2014
by
guptaaakanksha2_1
0
answers
question no. 25 of exercise 6.5
class12
math
exercise
6
5
q
25
asked
Jan 9, 2014
by
guptaaakanksha2_1
1
answer
question no. 25 of exercise 6.5
class12
math
exercise
6
5
q
25
asked
Jan 9, 2014
by
guptaaakanksha2_1
0
answers
question no. 25 of exercise 6.5
class12
math
exercise
6
5
q
25
asked
Jan 9, 2014
by
guptaaakanksha2_1
0
answers
question no. 25 of exercise 6.5
asked
Jan 9, 2014
by
guptaaakanksha2_1
0
answers
find the radius of cicular section of sphere x^2+y^2+z^2=49 by the plane 2x+3y-z-4(14)^1/2
asked
Dec 28, 2013
by
ankitclusters_1
0
answers
Integrate the function $\large \frac {\log^{99} x}{x}$
cbse
class12
additionalproblem
sec-a
ch7
easy
math
asked
Dec 24, 2013
by
balaji.thirumalai
1
answer
Find the equation of the tangent and normal to the curve $ \;y=\large\frac{1+\sin x}{\cos x}$ at $\;x=\large\frac{\pi}{4}$
cbse
class12
additionalproblem
ch6
sec-b
easy
math
asked
Dec 23, 2013
by
balaji.thirumalai
1
answer
The cost of construction for an open tank is Rs. 200 per sq. unit for the base, and the cost for doing the walls is Rs. 150 per sq. unit. An open tank is to be constructed with rectangular base of height 2 units and volume of 8 cubic units.What is the cost of the least expensive open tank given these constraints?
cbse
class12
additionalproblem
ch6
sec-c
easy
math
asked
Dec 23, 2013
by
balaji.thirumalai
1
answer
Find the area enclosed by the curve $y^2+1=x,x\leq 2$ and the line $x=2$.
class12
cbse
additionalproblem
ch8
sec-b
easy
math
jeemain
integral-calculus
aims-12-math
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
If $( x = \sqrt {a^{\large sin^{-1}t}}, \: y = \sqrt {a^{\large cos^{-1}t}} ),$ what is the value of $\frac {\large dy}{\large dx}$
cbse
class12
additionalproblem
ch5
sec-b
medium
math
jeemain
limits-continuity-and-differentiability
differentiability
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
Evaluate: $ \begin{vmatrix} (x-2)^2 & (x-1)^2 & x^2 \\ (x-1)^2 & x^2 & (x+1)^2 \\ x^2 & (x+1)^2 & (x+2)^2 \end{vmatrix}$
class12
cbse
easy
additionalproblem
ch4
sec-b
math
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
Evaluate $\large \int \frac{2\sin 2 x -\cos x }{6-\cos^2x -4\sin x }$$dx$.
cbse
class12
additionalproblem
integral-calculus
sec-b
medium
ch7
math
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
If the radius of a sphere is measured as $70$ cm with an error of $0.03$cm, then find the approximate error in calculating its surface area
cbse
class12
easy
sec-a
ch6
limits-continuity-and-differentiability
additionalproblem
math
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
If $x^y\; y^x = 100$, evaluate $\large \frac{dy}{dx}$
cbse
class12
math
additionalproblem
jeemain
limits-continuity-and-differentiability
ch5
sec-a
differentiability
medium
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
Evaluate: $\large \int \frac {1 + \tan^2 x} {\sqrt (1 - \tan^2 x)}\; $$dx$
integral-calculus
math
cbse
ch7
sec-a
class12
medium
additionalproblem
jeemain
mock
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
If the following matrix is singular, what is the value of $x: \; \begin{bmatrix} -3& -5 &1 \\ 9 & 14 & 1\\ 7+x&29 & -2 \end{bmatrix}$
cbse
class12
ch4
additionalproblem
easy
sec-a
math
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
If $\;x\sqrt{1+y}+y\sqrt{1+x}=0, \;$ Evaluate $ \large\frac{dy}{dx}$
class12
cbse
additionalproblem
ch5
easy
sec-a
math
jeemain
limits-continuity-and-differentiability
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
Evaluate : $\cos\; \large \bigg( \frac{\pi}{2} -$$ \cos^{-1}\; \large\bigg (-\frac{\sqrt 3}{2}\bigg)\bigg)$
cbse
class12
ch2
additionalproblem
sec-a
easy
math
jeemain
inverse-trignometric-functions
trigonometry
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
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