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Recent questions tagged q25
Questions
Show that the points $ (\hat i-\hat j+3 \hat k)\; and\;3(\hat i+\hat j+\hat k)$ are equidistant from the plane $ \overrightarrow{r}.(5 \hat i+2 \hat j-7 \hat k)+9=0$ and lies on opposite side of it.
cbse
class12
ch11
q25
p237
exemplar
medium
sec-c
math
asked
Jan 4, 2013
by
sreemathi.v
1
answer
Show that the right circular cone of least curved surface and given volume has an altitude equal to \( \sqrt 2\) times the radius of the base.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
A rectangle is inscribed in a semi-circle of radius r with one of its sides on the diameter of the sei-circle. Find the maximum area of the rectangle.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
Show that the rectangle of maximum, area that can be inscribed in a circle is a square.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Find the equation of the tangent to the curve \( y = \sqrt {3x-2} \) which is parallel to the line \( 4x-2y+5 = 0\).
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Using integration, find the area of the triangular region whose sides have the equation \( y = 2x+1, y = 3x+1\: and \: x = 4 \).
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Differentiate the following w.r.t $x$: $2^{\large \cos^2x}$
cbse
class12
ch5
q25
p109
short-answer
exemplar
sec-a
medium
math
sec4
asked
Dec 31, 2012
by
sreemathi.v
1
answer
Evaluate :$ \int \: \sqrt {\large\frac{1- \sqrt x}{1+ \sqrt x}}$$ dx $
cbse
class12
modelpaper
2011
sec-c
q25
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Find the area of the smaller region bounded by the ellipse $ \large\frac{x^2}{9} + \frac{y^2}{4} = $$1$ and the straight line $ \large\frac{x}{2}+\frac{y}{2} = 1. $
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Find the value of the determinant $\begin{vmatrix}a-b & b+c & a\\b-c & c+a & b\\c-a & a+b & c\end{vmatrix}$
cbse
class12
ch4
sec-a
q25
p80
objective
exemplar
medium
math
asked
Dec 26, 2012
by
sreemathi.v
1
answer
Evaluate : $\int \large\frac{1}{\sin x (5-4\cos x )}$$ dx$
cbse
class12
modelpaper
2011
sec-c
q25
math
asked
Dec 26, 2012
by
thanvigandhi_1
0
answers
Draw a rough sketch of the region enclosed between the circles \( x^2 + y^2 = 4 \) and \( (x-2)^2 + y^2 = 1\) . Using integration, find the area of the enclosed region.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Dec 25, 2012
by
thanvigandhi_1
0
answers
The probability that a person will get an electric contract is \(\large \frac{2}{5}\) and the probability that he will not get plumbing contract is \( \frac{4}{7} \) . If the probability of getting atleast one contract is \( \large\frac{2}{3} \) . What is the probability that he will get both?
cbse
class12
modelpaper
2008
sec-c
q25
math
asked
Dec 24, 2012
by
thanvigandhi_1
0
answers
If \(x = a (cos\: t + t\: sin \: t), y = a (sin\: t – t \: cos \: t)\). Find \( \frac{d^2y}{dx^2} \)
cbse
class12
modelpaper
2012
sec-b
q25
math
asked
Dec 22, 2012
by
thanvigandhi_1
0
answers
If $A=\begin{bmatrix}2 & 1\end{bmatrix}\;B=\begin{bmatrix}5 & 3 & 4\\8 & 7 & 6\end{bmatrix}\;andC=\begin{bmatrix}-1 & 2 & 1\\1 & 0 & 2\end{bmatrix},verify\;that\;A(B+C)=(AB+AC)$
cbse
class12
ch3
q25
p55
short-answer
exemplar
sec-b
easy
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
The domain of the function defined by $f(x)=\sin^{-1}\sqrt{x-1}$ is
cbse
class12
ch2
q25
p38
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Evaluate : $ \int_0^{\pi} \mathrm \:\large \frac{x \: dx}{a^2 \cos^2 \: x + b^2 \sin^2 \: x} $
cbse
class12
modelpaper
2009
sec-c
q25
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Using integration find the area of the region bounded by the parabola \( y^2 = 4x \) and the circle \( 4x^2 + 4y^2 = 9 \).
cbse
class12
modelpaper
2008-1
sec-c
q25
math
asked
Dec 19, 2012
by
thanvigandhi_1
0
answers
Functions $ f,g:R \rightarrow R $ are defined,respectively,by $f(x)=x^2+3x+1,g(x)=2x-3,$ find\[(i)\quad f\; o\; g\qquad(ii)\quad g\;o\;f\qquad(iii)\quad f\;o\;f\qquad(iv)\quad g\;o\;g\]
cbse
class12
ch1
q25
p13
exemplar
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Integrate the function $\int \frac{1}{\cos^2x(1-\tan x)^2}$
cbse
class12
bookproblem
ch7
sec2
q25
p305
sec-a
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
$\Large \int \normalsize\frac{dx}{\sqrt{9x-4x^2}}$ equals
cbse
class12
bookproblem
ch7
sec4
q25
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_\frac{\pi}{2}^\pi e^x\bigg(\frac{1-\sin x}{1-\cos x}\bigg)dx\]
cbse
class12
bookproblem
ch7
misc
q25
p353
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals: $\int\limits_1^4 [\; |x-1|+|x-2|+|x-3|\;]dx$
cbse
class12
bookproblem
ch7
misc
q33
p353
sec-b
difficult
modelpaper
2012
q25
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Write negation of the each of the following statements :
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p161
q25
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is \(\tan^{-1} \sqrt {2}\).
cbse
class12
bookproblem
ch6
sec5
q25
p233
sec-c
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Find the equation of the tangent to the curve $y = \sqrt {3x - 2}$ which is parallel to the line $4x - 2y + 5 = 0 $.
cbse
class12
bookproblem
ch6
sec3
q25
p213
sec-c
medium
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
Examine the continuity of $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} \sin x - \cos x,& \quad\text{ if \(x\) \(\neq\) 0 }\\ -1 ,& \quad \text{if $x$ =0}\\ \end{array} \right. $
cbse
class12
bookproblem
ch5
sec1
q25
p160
sec-b
easy
math
asked
Nov 10, 2012
by
thanvigandhi_1
1
answer
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