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Recent questions tagged q17
Questions
Evaluate:$\large \int\frac{x+2}{\sqrt{x^2+2x+3}}$dx
cbse
class12
modelpaper
2013
sec-b
q17
q17-2
65-1
q12
q12-2
65-2
q13
q13-2
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
Evaluate: $\int\large \frac{cos 2x-cos 2\alpha}{cos x-cos\alpha}$$dx$
cbse
class12
modelpaper
2013
sec-b
q17
q17-1
65-1
q12
q12-1
65-2
q13
q13-1
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
Solve the following equation :$\cos\big(tan^{-1}x\big)=sin\bigg(cot^{-1}\frac{3}{4}\bigg)$
cbse
class12
modelpaper
2013
sec-b
q12
q12-2
65-1
q14
q14-2
65-2
q17
q17-2
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
Show that: $tan\bigg(\frac{1}{2}sin^{-1}\frac{3}{4}\bigg)=\frac{4-\sqrt 7}{3}$
cbse
class12
modelpaper
2013
sec-b
q12
q12-1
65-1
q14
q14-1
65-2
q17
q17-1
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
A die is thrown again and again untill three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die.
cbse
class12
modelpaper
2012
sec-b
q17
medium
math
asked
Feb 17, 2013
by
thanvigandhi_1
1
answer
If \( y=e^{\large \tan\: x},\) prove that $ \cos^2x\large\frac{d^2y}{dx}$$-(1+\sin\: 2x)\large\frac{dy}{dx}$$=0$
cbse
class12
modelpaper
2012
sec-b
q17
easy
math
asked
Feb 15, 2013
by
thanvigandhi_1
1
answer
If \( y=(x)^x+(\cos x)^{2x} \: find \: \large\frac{dy}{dx}\)
cbse
class12
modelpaper
2012
sec-b
q17
medium
math
asked
Feb 15, 2013
by
thanvigandhi_1
1
answer
Evaluate : $ \int_0^{\pi} \large\frac{x\sin\: x}{1+\cos^2x} $$dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
Evaluate : $ \int x\: tan^{-1}x\: dx$
cbse
class12
modelpaper
2012
sec-b
q17
easy
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Evaluate : $ \int\large\frac{(3x-2)}{(x+1)^2(x+3)} $$dx$
cbse
class12
modelpaper
2012
sec-b
q17
medium
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Evaluate : $ \int \large\frac{2x+5}{\sqrt{7-6x-x^2}}$$dx$
cbse
class12
modelpaper
2012
sec-b
q17
difficult
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Using properties of definite integrals, evaluate the following : $ \int_0^{\pi}\large\frac{x\: sin\: x}{1+cos^2x}$$dx $
cbse
class12
modelpaper
2012
sec-b
q17
medium
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Evaluate : $ \int \large\frac{dx}{\sqrt{8+2x-x^2}} $
cbse
class12
modelpaper
2012
sec-b
q17
easy
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
Evaluate : \[ \int \frac{(x-4)e^x}{(x-2)^3} dx \]
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Feb 7, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int\large\frac{dx}{2\sin^2x+5\cos^2x} $
cbse
class12
modelpaper
2012
sec-b
q17
medium
math
asked
Feb 7, 2013
by
thanvigandhi_1
1
answer
Evaluate : $ \int \large\frac{\cos x\: dx}{(2+\sin x)(3+4\sin x) } $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Feb 6, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_{\large\frac{\pi}{6}}^{\large\frac{\pi}{3}} \large\frac{dx}{1+\sqrt{tan\:x}} $
cbse
class12
modelpaper
2012
sec-b
q17
medium
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
Evaluate : $\int e^{2x}\sin\: x\: dx$
cbse
class12
modelpaper
2012
sec-b
q17
difficult
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
Evaluate : $ \int \large\frac{3x+5}{\sqrt{x^2-8x+7}}$$dx $
cbse
class12
modelpaper
2012
sec-b
q17
difficult
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
6 boys and 6 girls sit in a row at random. Find the probability that 1) The six girls sit together 2) The boys and girls sit alternatively.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q17
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the shortest distance between two lines whose vector equations are $ \overrightarrow{r}=(1-t)i+(t-2) \bar{j}+(3-2t) \bar{k} $ and $ \overrightarrow{r}=(s+1) \bar {i}+(2s-1)\bar {j}-(2s+1) \bar {k}$
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q17
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Using vector method prove that : $a)\;\sin (A+B)=\sin A\cos B+\cos A\sin B$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-a
p36
medium
sec-b
math
asked
Feb 5, 2013
by
meena.p
1
answer
Evaluate : $\int_0^{\large\frac{\pi}{2}} \large\frac{x+sinx}{1+cosx}$$dx $
cbse
class12
modelpaper
2012
sec-b
q17
medium
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Solve:\[(x^3-3xy^2)dx=(y^3-3x^2y)dy\]
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q17
p34
sec-b
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area of the region given by : $ \{(x,y):x^2 \leq y\leq|x|\}$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q17
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Evaluate : $ \int \large\frac{5x+3}{\sqrt{x^2+4x+10}}$$dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Evaluate : $\int \large\frac{2x}{(x^2+1)(x^2+3)}$$dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^{\pi}\large\frac{x\: dx}{a^2\cos^2x+b^2\sin^2x}$$a,b>0 $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Evaluate : $\int \large\frac{1}{\cos(x-a)\cos(x-b)}$$dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Evaluate : $\int x(\log x )^2.dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{2x}{(1+\sin x)(2+\sin\:x)}$$ dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{\sin \: 2x}{(1+x^2)(3+x^2)} $$dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int\large \frac{dx}{2e^{2x}+3e^x+1} $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^{\Large\frac{1}{\sqrt 2}} \large\frac{\sin^{-1}x}{(1-x^2)^{\frac{3}{2}}} $$dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
$\Large \frac {3^xdx}{\sqrt{1-9^x}} =$\[(a)\;\log _e 3\sin^{-1}(3^x) \qquad (b)\;\frac{1}{log_e^3} \sin^{-1}(3^x)\qquad(c)\;\log_e3\sin^{-1}(3^{x/2})\qquad(d)\;\frac{1}{log _e3} \sin^{-1}(3^{x/2}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q17
p25
math
asked
Jan 31, 2013
by
meena.p
0
answers
Evaluate : $\int \large\frac{5x+3}{\sqrt{x^2+4x+16}}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Evaluate : $\int \large\frac{x^2tan^{-1}x}{1+x^2}$$dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
The surface area of a spherical bubble of water increasing at the rate of \( 2 \: cm^2/sec.\) Find the rate at which the volume of the water bubble is increasing at that instant when its radius is 6 cm.
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
A wire of length 36 cm is cut into two pieces. One of the pieces is turned in the form of a square and the other in the form of an equilateral triangle. Find the length of each piece so that the sum of the areas of the two be minimum.
cbse
class12
modelpaper
2005
sec-c
q17
math
asked
Jan 29, 2013
by
fingeazy
1
answer
Obtain the differential equation by eliminating 'a' and 'b' from the equation \( y=e^x(a\cos \: x+b\sin \: x). \)
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 29, 2013
by
thanvigandhi_1
0
answers
If $ y=log \tan \bigg(\Large\frac{\pi}{4}+\frac{\pi}{2}\bigg)$then$\Large\frac{dy}{dx}$is\[(a)\;0 \qquad(b)\;\cos x\qquad(c)\;-\sec x\qquad(d)\;\sec x\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q17
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
Evaluate : $ \int \sqrt{\large\frac{1-\sqrt x}{1+\sqrt x}}$$dx. $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Evaluate : $\int_{-1}^{\Large\frac{3}{2}} |x\sin\: \pi\:$$x|dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Show that the curve \( 4x=y^2\: and \: 4xy=k\) cut at right angles, if \( k^2=512\)
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 27, 2013
by
thanvigandhi_1
0
answers
Show that the function $ f(x)= \left\{ \begin{array}{1 1} x+\lambda, & \quad x< 1 \\ \lambda x^2+1, & \quad x\geq1 \end{array} \right. $ is continuous function, regardless of the choice of $ \lambda \in R $
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q17
p12
easy
math
sec-a
asked
Jan 25, 2013
by
meena.p
1
answer
Evaluate : $ \int_{-1}^{\large\frac{3}{2}} |x\sin\: \pi x |dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^{\large\frac{\pi}{2}} \sin2x\tan^{-1}(\sin x)dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
If performance of the students ‘y’ depends on the number of hours ‘x’ of hard work done per day is given by the relation. Y = 4 x -$ \frac {x^2} {2} $ Find the number of hours, the students work to have the best performance. ‘Hours of hard work are necessary for success’ Justify.
cbse
class12
valuebasedproblems2012
relations-and-functions
ch1
q17
easy
sec-a
math
asked
Jan 24, 2013
by
shanthinig
0
answers
Evaluate : $ \int_0^{\pi}\large \frac{x}{a^2\cos^2x+b^2\sin^2x}$$dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^{\pi} \large\frac{x\tan x}{\sec x + \cos x}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
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