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Recent questions tagged q18
Questions
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_0^4\mid x-1\mid dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q18
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\large\frac{1}{\sqrt{\sin^3x\sin(x+\alpha)}}$
cbse
class12
bookproblem
ch7
misc
q18
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
At any point (x,y) of a curve,the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (-4,-3).Find the equation of the curve given that it passes through (-2,1).
cbse
class12
bookproblem
ch9
sec4
q18
p396
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
The integrating factor of the differential equation $x\large\frac{dy}{dx}$$-y=2x^2 $ is
cbse
class12
bookproblem
ch9
sec6
q18
p414
easy
math
sec-a
asked
Nov 29, 2012
by
sreemathi.v
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
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
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
The general solution of the differential equation$ e^xdy+(ye^x+2x)dx=0\; is$
cbse
class12
bookproblem
ch9
misc
q18
p421
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height \(h\) and semi vertical angle $\alpha$ is one-third that of the cone and the greatest volume of cylinder is $\large \frac{4}{27}$$\pi h^3 \: tan^2 \: \alpha $
cbse
class12
bookproblem
ch6
misc
q18
p243
sec-c
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Let \(f : R \to R\) be the Signum Function defined as \[ f(x) = \left \{ \begin {array} {1 1} 1, & \quad \text { x $>$ 0} \\ 0, & \quad \text { x $=$0} \\-1, & \quad \text { x $<$0} \\ \end {array} \right. \] and \(g:R \to R\) be the greatest Integer Function given by \(g(x)=[x]\) where \([x]\) is a greatest integer less thar or equal to \(x\) Then, does \(fog\) and \(gof\) coincide in \((0,1]\)?.
cbse
class12
bookproblem
ch1
misc
q18
p31
sec-b
math
asked
Nov 27, 2012
by
vaishali.a
1
answer
If P(A|B) > P(A), then which of the following is correct ?
cbse
class12
bookproblem
ch13
misc
p584
q18
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Two events A and B will be independent, if which of the following is true?
cbse
class12
bookproblem
ch13
sec2
p548
q18
easy
concepts
sec-a
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A rectangular sheet of tin 45 cm by 24 cm is to be made into a box without top, by cutting off square from each corner and folding up the flaps. What should be the side of the square in cms to be cut off so that the volume of the box is maximum ?
cbse
class12
bookproblem
ch6
sec5
q18
p233
sec-b
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
If $ A = \begin{bmatrix} 0 & -tan \frac{\alpha}{2} \\ tan\frac{\alpha}{2} & 0 \end{bmatrix} $ and $I$ is the identity matrix of order $2$, show that $ I + A = ( I - A ) \begin{bmatrix} cos\alpha & -sin\alpha \\ sin\alpha & cos\alpha \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec2
q18
p82
medium
sec-b
math
asked
Nov 25, 2012
by
pady_1
1
answer
For the curve $y = 4x^3 – 2x^5$, find all the points at which the tangent passes through the origin.
cbse
class12
bookproblem
ch6
sec3
q18
p212
sec-b
medium
math
asked
Nov 24, 2012
by
thanvigandhi_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
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
Choose the correct answer in the total revenue in Rupees received from the sale of $x$ units of a product is given by $Rx = 3x^2 +36x + 5$. The marginal revenue, when $x = 15$ is
cbse
class12
bookproblem
ch6
sec1
q18
p199
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
If $u,\: v$ and $w$ are functions of $x$, then show that $\large\frac{d}{dx} $$( u.v.w) =\large \frac{du}{dx} $$v.w + u . \large\frac{dv}{dx} $$. w + u.v. \large\frac{dw}{dx} $ in two ways - first by repeated application of product rule, second by logarithmic differentiation.
cbse
class12
bookproblem
ch5
sec5
q18
p179
medium
sec-b
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
For what value of \( \lambda \) is the function defined by \(f\) defined by $ f(x) = \left\{ \begin{array} {1 1} \lambda(x^2 - 2x) ,& \quad\text{ if $ x $ \(\leq 0\)}\\ 4x + 1,& \quad \text{if $x$ > 0}\\ \end{array} \right. $ Continuous at \(x = 0\)?
cbse
class12
bookproblem
ch5
sec1
q18
q18-1
p160
sec-a
easy
math
asked
Nov 10, 2012
by
thanvigandhi_1
1
answer
Find the distance of the point (-1, -5, -10) from the point of intersection of the line $\hat{r} = 2\hat{i} - \hat{j} + 2\hat{k} + \lambda (3\hat{i} + 4\hat{j} + 2\hat{k}) $ and the plane $\hat{r} . (\hat{ i} -\hat{ j} + \hat{k} ) = 5$
cbse
class12
bookproblem
ch11
misc
p499
q18
sec-c
medium
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
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