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Recent questions tagged cbse
Questions
Show that the tangents to the curve \(y = 7x^3 + 11\) at the points where \(x = 2\) and \(x = -2\) are parallel.
cbse
class12
bookproblem
ch6
sec3
q16
p212
sec-a
easy
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
Find the equation of the tangent line to the curve $y = x^2 - 2x +7$ which is $(a)$ parallel to the line $2x - y + 9 = 0$
cbse
class12
bookproblem
ch6
sec3
q15
q15-a
p212
sec-b
easy
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
Find the equations of the tangent and normal to the given curves at the indicated points: $ y = x^4 - 6x^3 + 13x^2 - 10x + 5\; at \;(0, 5)$
cbse
class12
bookproblem
ch6
sec3
q14
q14-1
p212
sec-b
easy
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
Find points on the curve $ \large\frac{x^2}{9} + \frac{y^2}{16} = 1$ at which the tangents are $(i)\; parallel\; to\; x - axis$
cbse
class12
bookproblem
ch6
sec3
q13
q13-1
p212
sec-b
easy
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
If $A, B$ are symmetric matrices of the same order, then $AB - BA$ is
cbse
class12
bookproblem
ch3
sec3
q11
p90
easy
shortanswer
sec-a
math
asked
Nov 23, 2012
by
pady_1
1
answer
if $A = \begin{bmatrix} cos\alpha & -sin\alpha \\ sin\alpha & cos\alpha \end{bmatrix} $ then $ A + A' = I, $ if the value of $\alpha$ is
cbse
class12
bookproblem
ch3
sec3
q12
p90
easy
shortanswer
objective
sec-a
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q17
p97
medium
long-answer
sec-c
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 1 & 3 & -2 \\ -3 & 0 & -5 \\ 2 & 5 & 0 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q16
p97
medium
long-answer
sec-c
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & -3 & 3 \\ 2 & 2 & 3 \\ 3 & -2 & 2 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q15
p97
medium
long-answer
sec-c
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & 1 \\ 4 & 2 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q14
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & -3 \\ -1 & 2 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q13
p97
medium
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 6 & -3 \\ -2 & 1 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q12
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & -6 \\ 1 & -2 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q11
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 3 & -1 \\ -4 & 2 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q10
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 3 & 10 \\ 2 & 7 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q9
p97
medium
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 4 & 5 \\ 3 & 4 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q8
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 3 & 1 \\ 5 & 2 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q7
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & 5 \\ 1 & 3 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q6
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & 1 \\ 7 & 4 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q5
p97
medium
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q4
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 1 & 3 \\ 2 & 7 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q3
p97
medium
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & 1 \\ 1 & 1 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q2
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 1 & -1 \\ 2 & 3 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q1
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Matrices $A$ and $B$ will be inverse of each other only if
cbse
class12
bookproblem
ch3
sec4
q18
p97
easy
toolbox
concepts
sec-a
math
asked
Nov 23, 2012
by
pady_1
1
answer
Let $A = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} $, show that $ (aI + bA)^n = a^nI + na^{n-1}bA $, where $\;I\;$ is the identity matrix of order 2 and $n \in N$.
cbse
class12
bookproblem
ch3
misc
q1
p100
medium
shortanswer
sec-c
math
asked
Nov 23, 2012
by
pady_1
1
answer
Find the equation of all lines having slope $0$ that are tangents to the curve $ y=\large \frac{1}{x^2-2x+3}$
cbse
class12
bookproblem
ch6
sec3
q12
p212
sec-b
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the equation of all lines having slope \(2\) that are tangents to the curve $ y= \large\frac{1}{x-3}, $$\: x \neq 3$
cbse
class12
bookproblem
ch6
sec3
q11
p212
sec-a
medium
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the equation of all lines having slope $–1$ that are tangents to the curve $ y= \large\frac{1}{x-1}, $$ \: x \neq 1$
cbse
class12
bookproblem
ch6
sec3
q10
p212
sec-b
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the point on the curve $y = x^3 - 11x + 5$ at which the tangent is $y = x -11$.
cbse
class12
bookproblem
ch6
sec3
q9
p212
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find a point on the curve $y = (x – 2)^2 $ at which the tangent is parallel to the chord joining the points $(2, 0)$ and $(4, 4)$.
cbse
class12
bookproblem
ch6
sec3
q8
p211
sec-b
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find points at which the tangent to the curve $y = x^3 - 3x^2 - 9x + 7$ is parallel to the $x$ - axis.
cbse
class12
bookproblem
ch6
sec3
q7
p211
sec-a
medium
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the normal to the curve $ x = 1 - a \sin\theta, y = b \cos^2\theta$ at $ \theta = \Large {\frac{\pi}{2}}$
cbse
class12
bookproblem
ch6
sec3
q6
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the normal to the curve $ x = a \cos^3\theta, \: y = a \sin^3\theta$ at $ \theta =\Large {\frac{\pi}{4}}$.
cbse
class12
bookproblem
ch6
sec3
q5
p211
sec-b
medium
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
if $A = \begin{bmatrix} 1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1 \end{bmatrix}$ prove that $A^n = \begin{bmatrix} 3^{n-1} & 3^{n-1} & 3^{n-1} \\ 3^{n-1} & 3^{n-1} & 3^{n-1} \\ 3^{n-1} & 3^{n-1} & 3^{n-1} \end{bmatrix} , n \in N$.
cbse
class12
bookproblem
ch3
misc
q2
p100
difficult
long-answer
sec-c
math
asked
Nov 23, 2012
by
pady_1
1
answer
Find the slope of the tangent to the curve $y = x^3 - 3x + 2$ at the point whose $x$ - coordinate is $3$.
cbse
class12
bookproblem
ch6
sec3
q4
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the tangent to curve $ y = x^3 - x + 1$ at the point whose $x$ - coordinate is $2$.
cbse
class12
bookproblem
ch6
sec3
q3
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the tangent to the curve $\normalsize y =\large { \frac{x-1}{x-2},} \normalsize x \neq 2\; at\;x = 10$
cbse
class12
bookproblem
ch6
sec3
q2
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the tangent to the curve $y = 3x^4 – 4x \; at\; x = 4.$
cbse
class12
bookproblem
ch6
sec3
q1
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
If $ A = \begin{bmatrix} 3 & -4 \\ 1 & -1 \end{bmatrix}$ then prove that $ A^n = \begin{bmatrix} 1+2n & -4n \\ n & 1 - 2n \end{bmatrix} $ , where $n$ is any positive integer.
cbse
class12
bookproblem
ch3
misc
q3
p100
medium
long-answer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
The interval in which $y = x^2 e ^{- x}$ is increasing is
cbse
class12
bookproblem
ch6
sec2
q19
p206
sec-b
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
If $A$ and $B$ are symmetric matrices, prove that $AB - BA$ is a skew symmetric matrix.
cbse
class12
bookproblem
ch3
misc
q4
p100
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Prove that the function given by \(f (x) = x^3 – 3x^2 + 3x - 100\) is increasing in \(R.\)
cbse
class12
bookproblem
ch6
sec2
q18
p206
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Prove that the function \(f\) given by $f (x) = \log \cos\: x$ is strictly decreasing on $ \left(0, \: \large {\frac{\pi}{2}}\right)$ and strictly increasing on, $\left( \large {\frac{\pi}{2},} \normalsize \pi\right)$
cbse
class12
bookproblem
ch6
sec2
q17
p206
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Show that the matrix $B'AB$ is symmetric or skew symmetric according as A is symmetric or skew symmetric.
cbse
class12
bookproblem
ch3
misc
q5
p100
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Prove that the function $f$ given by $f (x) = \log \sin x$ is strictly increasing on$ \left(0, \: \large {\frac{\pi}{2}}\right)$ and strictly decreasing on $\left( \large {\frac{\pi}{2}}, \pi\right)$
cbse
class12
bookproblem
ch6
sec2
q16
p206
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the values of $x, y, z $ if the matrix $ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} $ satisfy the equation $A'A = I $
cbse
class12
bookproblem
ch3
misc
q6
p100
medium
long-answer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Let $I$ be any interval disjoint from $[–1, 1]$. Prove that the function $f$ given by \( f(x) = x + \frac{1}{\large x}\) is strictly increasing on $I$.
cbse
class12
bookproblem
ch6
sec2
q15
p206
sec-b
medium
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the least value of a such that the function $f$ given by $f (x) = x^2 + ax + 1$ is strictly increasing on $(1, 2).$
cbse
class12
bookproblem
ch6
sec2
q14
p206
sec-b
medium
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
On which of the following intervals is the function $f $ given by $f (x) = x^{100} + sin x –1$ strictly decreasing ?
cbse
class12
bookproblem
ch6
sec2
q13
p206
sec-b
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
For what values of $x$,
$\begin{bmatrix} 1 & 2 & 1 \end{bmatrix} \begin{bmatrix} 1 & 2 & 0 \\ 2 & 0 & 1 \\ 1 & 0 & 2 \end{bmatrix} \begin{bmatrix} 0 \\ 2 \\ x \end{bmatrix}$ = 0 ?
cbse
class12
bookproblem
ch3
misc
q7
p100
easy
shortanswer
sec-a
math
asked
Nov 23, 2012
by
pady_1
1
answer
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