Email
Chat with tutors
Login
Ask Questions, Get Answers
Menu
X
home
ask
tuition
questions
practice
papers
mobile
tutors
pricing
X
Recent questions in CBSE XII
Questions
>>
CBSE XII
CBSE XII
Math
Physics
Chemistry
Biology
If a line makes angles $90^\circ$,$135^\circ$, $45^\circ$ with the x, y and z-axes respectively, find its direction cosines.
cbse
class12
bookproblem
ch11
sec1
p467
q1
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the equation of the plane passing through (a, b, c) and parallel to the plane $\hat{r}. (\hat{i}+\hat{j}+\hat{k}) = 2$.
cbse
class12
bookproblem
ch11
misc
p498
q8
easy
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Prove that if a plane has the intercepts $a, b, c$ and is at a distance of $p$ units from the origin, then $\large\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c^2} = \frac{1}{p^2}$.
cbse
class12
bookproblem
ch11
misc
p499
q21
difficult
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Prove that \[sin^{-1} \frac{8}{17} +sin^{-1} \frac{3}{5} =tan^{-1} \frac{77}{36}\]
cbse
class12
bookproblem
ch2
misc
q4
p51
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that \[cos^{-1} \frac {4}{5} +cos^{-1} \frac{12}{13}=cos^{-1} \frac{33}{65}\]
cbse
class12
bookproblem
ch2
misc
q5
p51
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that \[ cos^{-1} \frac {12}{13} +sin^{-1} \frac{3}{5}=sin^{-1} \frac{56}{65}\]
cbse
class12
bookproblem
ch2
misc
q6
p51
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
What does $\sin^{-1} \frac{5}{13}+\cos^{-1} \frac {3}{5}$ reduce to?
cbse
class12
ch2
q7
medium
additionalproblem
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that \[tan^{-1} \frac{1}{5}+ tan^{-1} \frac{1}{7}+tan^{-1}\frac{1}{3}+tan^{-1} \frac{1}{8}= \frac{\pi}{4}\]
cbse
class12
bookproblem
ch2
misc
q8
p51
sec-c
medium
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that \[tan^{-1} \sqrt{x} = \frac{1}{2} cos^{-1} \;\; \bigg(\frac{1-x}{1+x}\bigg), x\in [0,1]\]
cbse
class12
bookproblem
ch2
misc
q9
p52
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Let A = $\begin{bmatrix} 1 & sin\theta & 1 \\ -sin\theta & 1 & sin\theta \\ -1 & -sin\theta & 1 \end{bmatrix}$, where $0 \leq \theta \leq 2\pi$. Then: \[ \begin{array} ((A) \, Det(A) = 0 \quad& (B) \, Det(A) \in (2, \infty) \\[0.5em] (C) \, Det(A) \in (2, 4) \quad &(D) Det(A) \in [2,4] \end{array} \]
cbse
class12
bookproblem
ch4
misc
q19
p143
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
If x, y, z are nonzero real numbers, then the inverse of matrix A = $\begin{bmatrix} x & 0 & 0 \\ 0 & y & 0 \\ 0 & 0 & z \end{bmatrix}$ is
cbse
class12
bookproblem
ch4
misc
q18
p143
medium
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Choose the correct answer. If a, b, c, are in A.P, then the determinant $\begin{vmatrix} x+2 & x+3 &x+2a \\ x+3 & x+4 &x+2b \\ x+4 & x+5 &x+2c \end{vmatrix}$ is: \[\] $(A)\;0 \hspace{20 mm} (B)\;1 \hspace{20 mm} (C)\; x \hspace{20 mm} (D)\; 2x $
cbse
class12
bookproblem
ch4
misc
q17
p143
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve the system of equations: $\large \frac{2}{x}+\frac{3}{y}+\frac{10}{z}=$$4.\quad $ $\large \frac{4}{x}-\frac{6}{y}+\frac{5}{z}$$=1.\quad $ $\large \frac{6}{x}+\frac{9}{y}-\frac{20}{z}$$=2.$
cbse
class12
bookproblem
ch4
misc
q16
p142
difficult
sec-c
modelpaper
q23
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Using properties of determinants, prove that: $\begin{vmatrix} sin\alpha&cos\alpha&cos(\alpha+\delta)\\ sin\beta&cos\beta&cos(\beta+\delta)\\ sin\gamma&cos\gamma&cos(\gamma+\delta)) \end{vmatrix}= 0.$
cbse
class12
bookproblem
ch4
misc
q15
p142
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Using properties of determinants, prove that: $\begin{vmatrix} 1&1+p&1+p+q\\ 2&3+2p&4+3p+2q\\ 3&6+3p&10+6p+3q \end{vmatrix}= 1.$
cbse
class12
bookproblem
ch4
misc
q14
p142
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Using properties of determinants, prove that: $\begin{vmatrix} 3a&-a+b&-a+c\\ -b+a&3b&-b+c\\ -c+a&-c+b&3c \end{vmatrix}= 3(a+b+c)(ab+bc+ca)$
cbse
class12
bookproblem
ch4
misc
q13
p142
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Using properties of determinants, prove that: $ \begin{vmatrix} x &x^2 &1 & px^3\\ y &y^2 &1 & py^3\\ z &z^2 &1 & pz^3 \end{vmatrix}= (1+pxyz) (x-z) (y-z)(z-x), $ where p is any scalar.
cbse
class12
bookproblem
ch4
misc
q12
p142
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Using properties of determinants, prove that: $\begin{vmatrix} \alpha & \alpha^2 & \beta+\gamma\\ \beta & \beta^2 & \alpha+\gamma\\ \gamma & \gamma^2 & \alpha+\beta \end{vmatrix} = (\beta-\gamma) (\gamma - \alpha) (\alpha-\beta) (\alpha+\beta+\gamma)$
cbse
class12
bookproblem
ch4
misc
q11
p142
easy
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Evaluate $\begin{vmatrix} 1 & x & y\\ 1 & x+y & y\\ 1 & x & x+y \end{vmatrix}$
cbse
class12
bookproblem
ch4
misc
q10
p142
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Evaluate $ \begin{vmatrix} x & y & x+y\\ y & x+y & x\\ x+y & x & y \end{vmatrix}$
cbse
class12
bookproblem
ch4
misc
q9
p142
easy
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Let A = $\begin{bmatrix} 1 & -2 & 1\\ -2 & 3 & 1\\ 1 & 1 & 5 \end{bmatrix}$. Verify that \[\] $(i)\ \; \left [adj A \right ]^{-1} = adj(A^{-1}) \;\;\;\; $
cbse
class12
bookproblem
ch4
misc
q8
q8-1
p142
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
$If \; A^{-1}=\begin{bmatrix} 3 &-1 & 1\\ -15&6 &-5 \\ 5& -2&2 \end{bmatrix} \; and \; B = \begin{bmatrix} 1 & 2 & -2\\ -1 & 3 & 0\\ 0 & -2 & 1 \end{bmatrix}, \; find \; (AB)^{-1} $
cbse
class12
bookproblem
ch4
misc
q7
p141
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Prove that $ \begin{vmatrix} a^2&bc&ac+c^2\\ a^2+ab& b^2& ac\\ ab&b^2+bc&c^2 \end{vmatrix}=4\,a^2\;b^2\;c^2. $
cbse
class12
bookproblem
ch4
misc
q6
p141
medium
sec-b
modelpaper-2012
modelpaper-2014
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve the equation $ \begin{vmatrix} x+a & x & x \\ x & x+a & x\\ x & x & x+a \end{vmatrix}=0, \; a \neq 0. $
cbse
class12
bookproblem
ch4
misc
q5
p141
easy
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
If a, b and c are real numbers, and $\Delta = \begin{vmatrix} b+c & c+a & a+b \\ c+a & a+b & b+c\\ a+b & b+c & c+a \end{vmatrix}=0, $ show that either $a+b+c=0$ or $a=b=c.$
cbse
class12
bookproblem
ch4
misc
q4
p141
difficult
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Evaluate $ \begin{vmatrix} cos\alpha \; cos\beta & cos\alpha \; sin\beta & -sin\alpha \\ -sin\beta & cos\beta & 0 \\ sin \alpha \; cos\beta & sin\alpha \; sin\beta & cos\alpha \end{vmatrix} $
cbse
class12
bookproblem
ch4
misc
q3
p141
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Without expanding the determinant, prove that $ \begin{vmatrix} a &a^2 &bc \\ b &b^2 &ca \\ c &c^2 &ab \end{vmatrix}\; = \; \begin{vmatrix} 1 & a^2 & a^3 \\ 1 & b^2 & b^3 \\ 1 & c^2 & c^3 \end{vmatrix} $
cbse
class12
bookproblem
ch4
misc
q2
p141
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
\[ \text{Prove that the determinant } \begin{vmatrix} x&sin\theta&cos\theta \\ -sin\theta&-x&1\\ cos\theta&1&x \end{vmatrix} \text{ is independent of } \theta \]
cbse
class12
bookproblem
ch4
misc
q1
p141
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is Rs 90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is Rs 70. Find cost of each item per kg by matrix method.
cbse
class12
bookproblem
ch4
sec6
q16
p137
difficult
sec-c
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
If $A = \begin{bmatrix} 2 &-3 & 5\\ 3& 2 & -4\\ 1& 1& -2 \end{bmatrix}$, $\;$ find $A^{-1}.\;$ Using $ A^{-1}$ solve the system of equations: \[2x-3y+5z=11\] \[3x+2y-4z = -5\] \[x+y-2z = -3\]
cbse
class12
bookproblem
ch4
sec6
q15
p137
difficult
sec-c
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve system of linear equations, using matrix method:\[\] \[x-y+2z=7\] \[3x+4y-5z=-5\] \[2x-y+3z=12\]
cbse
class12
bookproblem
ch4
sec6
q14
p136
difficult
sec-c
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve system of linear equations, using matrix method:\[\] \[2x+3y+3z=5\] \[x-2y+z=-4\] \[3x-y-2z=3\]
cbse
class12
bookproblem
ch4
sec6
q13
p136
difficult
sec-c
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve system of linear equations, using matrix method:\[\] \[x-y+z=4\] \[2x+y-3z=0\] \[x+y+z=2\]
cbse
class12
bookproblem
ch4
sec6
q12
p136
difficult
sec-c
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve system of linear equations, using matrix method:\[\] \[2x+y+z=1\] \[x-2y-z = \frac{3}{2}\] \[3y-5z=9\]
cbse
class12
bookproblem
ch4
sec6
q11
p136
difficult
sec-c
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
verify that the given function (implicit or explicit) is a solution of the corresponding differential equation
cbse
class12
bookproblem
ch9
misc
q2
q2-1
p420
medium
math
sec-a
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Solve system of linear equations, using matrix method:<br>$5x+2y=3$ <br> $3x+2y=5$
cbse
class12
bookproblem
ch4
sec6
q10
p136
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve system of linear equations, using matrix method:<br>$4x-3y=3$ <br> $3x-5y=7$
cbse
class12
bookproblem
ch4
sec6
q9
p136
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve system of linear equations, using matrix method:<br> $2x-y=-2$ <br> $3x+4y = 3$
cbse
class12
bookproblem
ch4
sec6
q8
p136
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve system of linear equations, using matrix method: <br>$5x+2y=4 $<br>$7x+3y = 5$
cbse
class12
bookproblem
ch4
sec6
q7
p136
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Examine the consistency of the system of equations:\[\] \[\quad 5x -y +4z = 5 \] \[\quad2x + 3y + 5z= 2\] \[\quad 5x - 2y + 6z = -1\]
cbse
class12
bookproblem
ch4
sec6
q6
p136
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Examine the consistency of the system of equations:\[\] \[\quad 3x -y -2z = 2 \] \[\quad 2y -z = -1\] \[\quad 3x -5y = 3\]
cbse
class12
bookproblem
ch4
sec6
q5
p136
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Examine the consistency of the system of equations:\[\] \[\quad x + y + z = 1 \] \[\quad 2x + 3y +2z = 2\] \[\quad ax + ay +2az = 4\]
cbse
class12
bookproblem
ch4
sec6
q4
p136
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Examine the consistency of the system of equations:\[\] \[\quad x + 3y = 5 \] \[\quad 2x + 6y = 8\]
cbse
class12
bookproblem
ch4
sec6
q3
p136
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Examine the consistency of the system of equations:\[\] \[\quad 2x -y = 5 \] \[\quad x + y = 4\]
cbse
class12
bookproblem
ch4
sec6
p136
q2
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Examine the consistency of the system of equations:\[\] \[\quad x + 2y = 2 \] \[\quad 2x + 3y = 3\]
cbse
class12
bookproblem
ch4
sec6
q1
p136
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve the following Linear Programming Problems graphically: Maximise $Z = 3x + 4y$ . subject to the constraints : $x + y \leq 4, x \geq 0, y \geq 0.$
cbse
class12
bookproblem
ch12
sec1
q1
p513
easy
sec-c
math
asked
Nov 29, 2012
by
fingeazy
1
answer
Form the differential equation representing the family of curves given by $(x-a)^2+2y^2\;=\;a^2$, where $a$ is an arbitrary constant
cbse
class12
bookproblem
ch9
misc
q3
p420
medium
sec-b
math
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Solve the following Linear Programming Problems graphically: Minimise $Z =$ –$3x + 4 y$ subject to $ x + 2y \leq 8, 3x + 2y \leq 12, x \geq 0, y\geq 0.$
cbse
class12
bookproblem
ch12
sec1
q2
p514
sec-c
easy
math
asked
Nov 29, 2012
by
fingeazy
1
answer
Solve the following Linear Programming Problems graphically: Maximise $Z = 5x + 3y$ subject to $3x + 5y \leq 15, 5x + 2y \leq 10, x \geq 0, y \geq 0.$
cbse
class12
bookproblem
ch12
sec1
q3
p514
easy
sec-c
math
asked
Nov 29, 2012
by
fingeazy
1
answer
Solve the following Linear Programming Problems graphically: Minimise $Z = 3x + 5y$. such that $ x + 3y \geq 3, x + y \geq 2, x, y \geq 0.$
cbse
class12
bookproblem
ch12
sec1
q4
p514
sec-c
easy
math
asked
Nov 29, 2012
by
fingeazy
1
answer
Page:
« prev
1
...
198
199
200
201
202
203
204
...
215
next »
Home
Ask
Tuition
Questions
Practice
Your payment for
is successful.
Continue
...