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Recent questions tagged additionalproblem
Questions
Solve:\[(x+y+1)\frac{dy}{dx}=1\]
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q6
p33
sec-b
math
asked
Feb 4, 2013
by
meena.p
0
answers
Show that $ Ax^2+By^2=1$ is a solution of the diff. equation. $ x\bigg[y\bigg(\Large\frac{d^2y}{dx^2}\bigg)+\bigg(\frac{dy}{dx}\bigg)^2\bigg]=y \frac{dy}{dx}$
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q5
p33
sec-b
math
asked
Feb 4, 2013
by
meena.p
0
answers
Form the differential equation of circles represented by \[(x-\alpha)^2+(y-\beta)^2=r^2\; by \;eliminating\;\alpha\;and\;\beta\]
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q4
p33
sec-b
math
asked
Feb 4, 2013
by
meena.p
0
answers
Write the order and degree of the diff. equation $ \bigg(\large\frac{d^2y}{dx^2}\bigg)^{2/3}=\bigg(y+\frac{dy}{dx}\bigg)^{1/2}$
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q3
p33
sec-a
math
asked
Feb 4, 2013
by
meena.p
0
answers
Form the differential equation of the family of curves represented by the equation $ (x+a)^2-2y^2=a^2$
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q2
p33
sec-b
math
asked
Feb 4, 2013
by
meena.p
0
answers
Write the order and degree of the differential equation.$ \bigg[1+(y')^2\bigg]^{3/2}=y''$
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q1
p33
sec-a
math
asked
Feb 4, 2013
by
meena.p
0
answers
Compute the area bounded by the lines $ x+2y=2,y-x=1\; and\;2x+y=7$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q25
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Draw the rough sketch of $ y=\sin 2x $ and determine the area enclosed by the lines $ x=\pi/4\; and\;x=\Large\frac{3\pi}{4}$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q24
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area of the region enclosed between the circles $ x^2+y^2=1\;and\;\bigg(x-\frac{1}{2}\bigg)^2+y^2=1$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q23
p32
math
asked
Feb 4, 2013
by
meena.p
1
answer
Sketch the graph of $ y=|x-1|$ and evaluate \[\int _{-2}^4 |x-1|dx\]
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q22
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area bounded by the curve $ y=\sin x,$ x=axis and between $x=0,x=\pi$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q21
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area of the smaller region bounded by the ellipse $ \Large\frac{x^2}{a^2}+\frac{y^2}{b^2}$=1 and the straight line $ \Large\frac{x}{a}+\frac{y}{b}$=1
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q20
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area of the region bounded by the circle $ x^2+y^2=16$ and the line y = x in the first quadrant.
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q19
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area of the region \[\{(x,y):y^2\leq4x,4x^2+4y^2=9\}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q18
p32
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
Sketch the region of the ellipse and find its area using integration. $\Large\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\qquad a>b.$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q16
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area of the circle $ x^2+y^2=a^2$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q15
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Sketch the region common to the circle $x^2+y^2=25$ and the parabola $y^2=8x$ also find the area of the region using integration.
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q14
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area included between the curves $ (x-1)^2+y^2=1\;and\;x^2+y^2=1$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q13
p31
math
asked
Feb 4, 2013
by
meena.p
0
answers
Using integration find the area of the triangle ABC whose vertices are A(3,0), B(4,6) and C(6,2)
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q12
p31
math
asked
Feb 4, 2013
by
meena.p
0
answers
Using integration find the area of the triangle ABC where A is (2,3) B(4,7) and C(6,2)
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q11
p31
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area of the smaller region bounded by the curve $ \large\frac{x^2}{16}+\frac{y^2}{9}=1$ and the straight line $ \large\frac{x}{4}+\frac{y}{3}=1$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q10
p31
math
asked
Feb 4, 2013
by
meena.p
0
answers
Sketch the region bounded by the curves $ y=x^2\;and\;y=\large\frac{2}{1+x^2}$ and find its area.
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q9
p31
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area of the region lying above x-axis and included between the curves $ x^2+y^2=2ax\;and\;y^2=ax$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q8
p31
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area of the region bounded by the curve C. $y=\tan x $ the tangent drawn to C at $x=\pi/4$ and the x-axis.
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q7
p31
math
asked
Feb 4, 2013
by
meena.p
0
answers
Sketch the region bounded by the curves $ y=\sqrt {5-x^2}\;and\; y=|x-1|$ and find its area.
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q6
p31
math
asked
Feb 4, 2013
by
meena.p
0
answers
Show that the area enclosed by the circle $ x^2+y^2=64a^2$ and the parabola $y^2=12ax$ is $ a^2 \bigg(\frac{16}{\sqrt 3}+\large\frac {64\pi}{\sqrt 3}\bigg)$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q5
p31
math
asked
Feb 4, 2013
by
meena.p
1
answer
Find the area of the segment cut off from the parabola $ y^2=2x$ by the line $ y=4x-1$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q4
p31
math
asked
Feb 4, 2013
by
meena.p
1
answer
Find the area included between the parabolas $ y^2=4ax\;and\;x^2=4ay$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q3
p31
math
asked
Feb 4, 2013
by
meena.p
2
answers
Find the area bounded by the x-axis part of the curve $ y=1+\Large\frac{8}{x^2}$ and the ordinates x = 2 and x = 4 If the ordinate at x = a divides the area into two equal parts find 'a'
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q2
p31
math
asked
Feb 4, 2013
by
meena.p
1
answer
Find the area bounded by the curve y = 2 cosx and the x-axis from x = 0 to x =$2\pi$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q1
p31
math
asked
Feb 4, 2013
by
meena.p
0
answers
Evaluate:\[\int \limits _{\pi/6}^{\pi/3} \frac{dx}{1+\sqrt {\tan x}}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q100
p30
medium
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:\[\int \limits _0 ^ \pi \Large\frac{e^{\cos x}}{[e^{\cos x}+e^{-\cos x}]}dx\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q99
p30
easy
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:\[\int\limits_0^1 \sqrt{\frac{1-x}{1+x}}dx\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q98
p30
difficult
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:\[\int\limits_0^{\pi/2} \frac {\sqrt {\tan x}}{1+\sqrt {\tan x}}dx\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q97
p30
medium
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:\[\int\limits_0^{16} \frac{x^{1/4}}{1+x^{1/2}}dx\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q96
p30
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:\[\int_{-\pi}^\pi (\sin ^{-1}x+x^{295})\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q95
p30
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:\[\int \limits_0^{\pi /2} \frac{1}{\cos (x-\pi/3) \cos (x-\pi/6)}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q94
p30
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:$\int\limits_0^1 x\sqrt{\large\frac{1-x^2}{1+x^2}}$$dx$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q93
p30
sec-b
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:$\int \limits_0^{\pi/2} log (\cos \theta) d\theta$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q91
p30
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:$\int \limits _0^{\pi/2} \frac{1}{2\cos x+4 \sin x}dx$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q90
p30
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:\[\int_{-1}^1 log \bigg(\large\frac{4-x}{4+x}\bigg)dx\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q89
p30
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:$\int \limits_3^9 \frac {\sqrt {12-x}}{\sqrt x+\sqrt {12-x}}dx$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q88
p30
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:$\int \limits_{-\pi}^{\pi} x^{20} \sin ^9x dx $
cbse
class12
math
additionalproblem
kvquestionbank2012
ch7
q87
p30
jeemain
integral-calculus
easy
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:$\int \limits_1^4 [\; \left |x-1 \right|+\left |x-2 \right |+\left| x-3\right |\;]\;dx$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q86
p30
difficult
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate: $\int\limits_0^ a \frac{dx}{x+\sqrt {a^2-x^2}}$
cbse
class12
additionalproblem
sec-b
kvquestionbank2012
ch7
q85
p29
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:$\int \limits_0^ {\pi/2} \large\frac {\sin x-\cos x}{1+\sin x\cos x}$$dx$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q84
p29
math
asked
Feb 4, 2013
by
meena.p
0
answers
Evaluate:$\int\limits_{-\pi/2}^ {\pi/2} |\sin x|dx$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q83
p29
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:$ \int \limits_{-1}^{3/2} | x \sin \pi x|dx$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q82
p29
math
asked
Feb 4, 2013
by
meena.p
1
answer
Evaluate:$\int\limits_0^ \pi \large\frac{xdx}{a^2\cos^2x+b^2\sin^2x}$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q81
p29
math
asked
Feb 4, 2013
by
meena.p
1
answer
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