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Recent questions tagged sec-a
Questions
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
If A is an invertible matrix of order 2, then det$(A^{-1})\;$ is equal to: $ (A)\; det\;(A) \quad (B)\; \frac{1}{det\;(A)} \quad (C)\; 1 \quad (D)\; 0 $
cbse
class12
bookproblem
ch4
sec5
q18
p132
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Let $A$ be a nonsingular square matrix of order $3 \times 3.$ Then $| adj \;A| $ is equal to:
cbse
class12
bookproblem
ch4
sec5
q17
p132
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the inverse of the matrix (if it exists): $ \begin{bmatrix} -1&5 \\ -3&2 \\ \end{bmatrix} $
cbse
class12
bookproblem
ch4
sec5
q6
p132
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the inverse of the matrix (if it exists): $ \begin{bmatrix} 2&-2 \\ 4&3 \\ \end{bmatrix} $
cbse
class12
bookproblem
ch4
sec5
q5
p132
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the adjoint of the matrix: $\begin{bmatrix} 1&-1&2 \\ 2&3&5 \\ -2&0&1 \end{bmatrix} $
cbse
class12
bookproblem
ch4
sec5
q2
p131
medium
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the adjoint of the matrix: $\begin{bmatrix} 1&2 \\ 3&4 \end{bmatrix} $
cbse
class12
bookproblem
ch4
sec5
q1
p131
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
If $\Delta = \begin{vmatrix} a_11&a_12&a_13 \\ a_21&a_22&a_23 \\ a_31&a_32&a_33 \end{vmatrix} $ and $A_y$ is Cofactor of $a_y$, then value of $\Delta$ is:
cbse
class12
bookproblem
ch4
sec4
q5
p126
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Using Cofactors of elements of third column, evaluate $ \Delta = \begin{vmatrix} 1&x&yz \\ 1&y&zx \\ 1&z&xy \end{vmatrix} $
cbse
class12
bookproblem
ch4
sec4
q4
p126
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Using Cofactors of elements of second row, evaluate $ \Delta = \begin{vmatrix} 5&3&8 \\ 2&0&1 \\ 1&2&3 \end{vmatrix} $
cbse
class12
bookproblem
ch4
sec4
q3
p126
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the particular solution of the differential equation $(1+e^{2x})dy + (1+y^2)e^xdx$ = 0, given that $y = 1$ when $x = 0$
cbse
class12
bookproblem
ch9
misc
q9
p420
medium
modelpaper
2012
q18
math
sec-a
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Write Minors and Cofactors of the elements of following determinants: $ (i) \quad \begin{vmatrix} 1&0&0 \\ 0&1&0 \\ 0&0&1 \end{vmatrix} $
cbse
class12
bookproblem
ch4
sec4
q2
q2-1
p126
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find a particular solution of the differential equation $\frac{dy}{dx} + y\cot x=4x\:cosec\:x$, $(x\neq0)$, given that $y = 0$ when $x = \large\frac{\pi}{2}$
cbse
class12
bookproblem
ch9
misc
q13
p421
medium
modelpaper
q19
sec-a
math
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Find a particular solution of the differential equation $(x+1)\frac{dy}{dx}=2e^{-y} -1$, given that $y = 0$ when $x = 0$.
cbse
class12
bookproblem
ch9
misc
q14
p421
difficult
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Choose the correct answer $\sin (\tan^{-1}x), |x| <1 $ is equal to
cbse
class12
bookproblem
ch2
misc
q15
p52
sec-a
easy
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
The order of the differential equation $2x^2\large\frac{d^2y}{dx^2}$$-3\frac{dy}{dx}$$+y=0\;is$
cbse
class12
bookproblem
ch9
sec1
q12
p383
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Write Minors and Cofactors of the elements of following determinants: $ (i) \quad \begin{vmatrix} 2&-4 \\ 0&3 \end{vmatrix}$
cbse
class12
bookproblem
ch4
sec4
q1
q1-1
p126
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
If area of triangle is $35\; sq\; units$ with vertices $(2, -6), (5, 4)$ and $(k, 4)$. Then $k$ is
cbse
class12
bookproblem
ch4
sec3
q5
p123
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Find equation of line joining (1, 2) and (3, 6) using determinants
cbse
class12
bookproblem
ch4
sec3
q4
p123
qp1
medium
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Find the value of $k$ if area of triangle is $4\; sq. units$ and vertices are: $(k, 0), (4, 0), (0, 2)$
cbse
class12
bookproblem
ch4
sec3
q3
p123
qp1
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Show that the points A (a, b + c), B (b, c + a), C (c, a + b) are collinear.
cbse
class12
bookproblem
ch4
sec3
q2
p123
medium
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Find area of the triangle with vertices at the point given in (1, 0), (6, 0), (4, 3)
cbse
class12
bookproblem
ch4
sec3
q1
p122
qp1
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Which of the following is correct:
cbse
class12
bookproblem
ch4
sec2
q16
p121
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Let $A$ be a square matrix of order $3 \times 3$, then $ |kA|$ is equal to:
cbse
class12
bookproblem
ch4
sec2
q15
p121
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Solve the following $\tan^{-1} \sqrt{3} -sec^{-1} (-2)$:
cbse
class12
bookproblem
ch2
sec1
q14
p42
medium
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
The degree of the differential equation $\bigg(\large\frac{d^2y}{dx^2}\bigg)^3+\bigg(\frac{dy}{dx}\bigg)^2$$+\sin\bigg(\large\frac{dy}{dx}\bigg)$$+1=0\; is$
cbse
class12
bookproblem
ch9
sec1
q11
p383
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $y''+2y'+\sin y=0$
cbse
class12
bookproblem
ch9
sec1
q10
p383
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $y''+(y')^2+2y=0$
cbse
class12
bookproblem
ch9
sec1
q9
p383
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $y'+y=e^x$
cbse
class12
bookproblem
ch9
sec1
q8
p383
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Using the property of determinants and without expanding, prove that \[ \begin{vmatrix} 0&a&-b \\ -a&0&-c \\ b&c&0 \end{vmatrix} = 0 \]
cbse
class12
bookproblem
ch4
sec2
q6
p120
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Using the property of determinants and without expanding, prove that \[ \begin{vmatrix} b+c&q+r&y+z \\ c+a&r+p&z+x \\ a+b&p+q&x+y \end{vmatrix} = 2 \begin{vmatrix} a&p&x \\ b&q&y \\ c&r&z \end{vmatrix} \]
cbse
class12
bookproblem
ch4
sec2
q5
p119
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Using the property of determinants and without expanding, prove that \[ \begin{vmatrix} 1&bc&a(b+c) \\ 1&ca&b(c+a) \\ 1&ab&c(a+b) \end{vmatrix} = 0\]
cbse
class12
bookproblem
ch4
sec2
q4
p119
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Using the property of determinants and without expanding, prove that \[ \begin{vmatrix} 2&7&65 \\ 3&8&75 \\ 5&9&86 \end{vmatrix} = 0\]
cbse
class12
bookproblem
ch4
sec2
q3
p119
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Using the property of determinants and without expanding, prove that \[ \begin{vmatrix} a-b&b-c&c-a \\b-c&c-a&a-b \\c-a&a-b&b-c \end{vmatrix} = 0\]
cbse
class12
bookproblem
ch4
sec2
q2
p119
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Using the property of determinants and without expanding, prove that \[ \begin{vmatrix} x&a&x+a \\y&b&y+b \\ z&c&z+c \end{vmatrix} = 0\]
cbse
class12
bookproblem
ch4
sec2
q1
p119
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
$ \text{If } \begin{vmatrix} x&2 \\ 18&x \end{vmatrix} = \begin{vmatrix} 6&2 \\ 18&6 \end{vmatrix}$, then $x$ is equal to:
cbse
class12
bookproblem
ch4
sec1
q8
p109
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Find the value of $x$, if $ \begin{vmatrix} 2&4 \\ 5&1 \end{vmatrix} = \begin{vmatrix} 2x&4 \\ 6&x \end{vmatrix}$
cbse
class12
bookproblem
ch4
sec1
q7
q7-1
p109
easy
shortanswer
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
If $A = \begin{bmatrix} 1&1&-2\\ 2&1&-3 \\5&4&-9 \end{bmatrix}$, then find $|A|$
cbse
class12
bookproblem
ch4
sec1
q6
p109
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Evaluate the determinant: $\begin{vmatrix} 3&-1&-2 \\ 0&0&-1 \\3&-5&0 \end{vmatrix}$
cbse
class12
bookproblem
ch4
sec1
q5
q5-1
p108
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
\[ \text{If A = } \begin{bmatrix} 1&0&1 \\ 0&1&2 \\ 0&0&4 \end{bmatrix}, \text{then show that } |\;3A\;| = 27|\;A\;|\]
cbse
class12
bookproblem
ch4
sec1
q4
p108
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
\[ \text{If A = } \begin{bmatrix} 1&2 \\ 4&2 \end{bmatrix}, \text{then show that } |\;2A\;| = 4|\;A;|\]
cbse
class12
bookproblem
ch4
sec1
q3
p108
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Evaluate the determinant: $\begin{vmatrix} cos\theta &-sin\theta \\ sin\theta & cos\theta \end{vmatrix}$
cbse
class12
bookproblem
ch4
sec1
q2
q2-1
p108
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Evaluate the determinant:$ \begin{vmatrix} 2&4 \\ -5&-1 \end{vmatrix} $
cbse
class12
bookproblem
ch4
sec1
q1
p108
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
If $ \sin^{-1} x=y$ then:
cbse
class12
bookproblem
ch2
sec1
q13
p42
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
Find the principal values of the following: <br> $ \mathrm{cosec}^{-1} (-\sqrt 2) $
cbse
class12
bookproblem
ch2
sec1
q10
p42
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal value of the following: $cos^{-1} \bigg( -\frac {1} {\sqrt 2} \bigg) $
cbse
class12
bookproblem
ch2
sec1
q9
p42
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following : $\cot^{-1} (\sqrt 3) $
cbse
class12
bookproblem
ch2
sec1
q8
p42
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
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