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Recent questions tagged ch8
Questions
Find the order and degree of the following differential equation: $y'+y^{2}$=$x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-2
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $\large\frac{dy}{dx}+y$=$x^{2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-1
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the area of the part of the circle $ x^2+y^2=16$ which is exterior to the parabola $y^2=6x$.
cbse
class12
modelpaper
2012
sec-c
q25
medium
ch8
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
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
sketch the graph of y=|x+3| and evaluate $\int_{-6}^0|x+3| dx.$
cbse
class12
bookproblem
ch8
misc
q4
p375
sec-b
easy
math
asked
Jan 21, 2013
by
sreemathi.v
1
answer
The area of the region bounded by the curve $x=2y+3$ and the y-lines $y=1$ and $y=-1$ is \[(A)\;4 sq.units\quad(B)\;\frac{3}{2} sq. units\quad(C)\;6 sq.units\quad(D)8 sq.units\]
cbse
class12
ch8
q34
p178
objective
exemplar
sec-b
easy
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
The area of the region bounded by the curve $y=x+1$ and the lines $x=2$ and $x=3$ is \[(A)\frac{7}{2} sq.units\quad(B)\;\frac{9}{2}sq. units\quad(C)\frac{11} {2}sq.units\quad(D)\frac{13}{2} sq.units\]
cbse
class12
ch8
q33
p178
objective
exemplar
sec-b
easy
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
The area of the region bounded by the circle $x^2+y^2=1$ is \[(A)\;2\pi sq.units\quad(B)\;\pi sq. units\quad(C)\;3\pi sq.units\quad(D)4\pi sq.units\]
cbse
class12
ch8
q32
p178
objective
exemplar
sec-b
easy
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
The area of the region bounded by the ellipse $\large\frac{x^2}{25}+\frac{y^2}{16}=1$ is \begin{array}{1 1}(A)\;2 \pi sq.units & (B)\;20{\pi}^2 sq.units\\(C)\;16{\pi}^2 sq.units & (D)\;25\pi sq.units \end{array}
cbse
class12
ch8
q31
p178
objective
exemplar
sec-b
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
The area of the region bounded by the curve $y=sin x$ between the ordinates $x=0$ and $x=\large\frac{\pi}{2}$ and the x-axis is
cbse
class12
ch8
q30
p178
objective
exemplar
sec-b
easy
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
The area of the region bounded by parabola $y^2=x$ and the straight line $2y=x$ is \begin{array}{1 1}(A)\;\frac{4}{3} sq.units & (B)\;1 sq.units\\(C)\;\frac{2}{3} sq.units & (D)\;\frac{1}{3}sq.units \end{array}
cbse
class12
ch8
q29
p178
objective
exemplar
sec-b
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
The area of the region bounded by the curve $y=\cos x$ between $x=0$ and $x=\pi$ is \begin{array}{1 1}(A)\;2 sq.units & (B)\;4 sq.units\\(C)\;3 sq.units & (D)\;1sq.units \end{array}
cbse
class12
ch8
q28
p178
objective
exemplar
sec-b
easy
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
The area of the region in the first quadrant enclosed by the x-axis,the line y=x and the circle $x^2+y^2=32$ is \begin{array}{1 1}(A)\;16\pi\; sq.units & (B)\;4\pi \;sq.units\\(C)\;32\pi\; sq.units & (D)\;24\pi\;sq.units \end{array}
cbse
class12
ch8
q27
p178
objective
exemplar
sec-b
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
2
answers
The area of the region bounded by the curve $y=\sqrt {16-x^2}$ and x-axis is \begin{array}{1 1}(A)\;8\pi \;sq.units & (B)\;20\pi\; sq.units\\(C)\;16\pi\; sq.units & (D)\;256\pi\; sq.units \end{array}
cbse
class12
ch8
q26
p177
objective
exemplar
sec-b
easy
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
The area of the region bounded by the curve $x^2=4y$ and the straight line $x=4y-2$ is \begin{array}{1 1}(A)\;\frac{3}{8}sq.units & (B)\;\frac{5}{8}sq.units\\(C)\;\frac{7}{8}sq.units & (D)\;\frac{9}{8} sq.units \end{array}
cbse
class12
ch8
q25
p177
objective
exemplar
sec-b
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
The area of the region bounded by the y-axis ,$y=\cos x$ and $y=\sin x,0\leq x\leq \large\frac{\pi}{2}$ is\begin{array}{1 1}(A)\;1\sqrt 2sq.units & (B)\;(\sqrt 2+1)sq.units\\(C)\;(\sqrt 2-1)sq.units & (D)\;(2\sqrt 2-1)sq.units \end{array}
cbse
class12
ch8
q24
p177
objective
exemplar
sec-b
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Draw a rough sketch of the given curve $y=1+|x+1|,x=-3,x=3,y=0$ and find the area of the region bounded by them,using integration.
cbse
class12
ch8
q23
p177
exemplar
sec-b
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area bounded by the curve $y=2\cos x$ and the $x$-axis from $x=0$ to x=2$\pi$.
cbse
class12
ch8
q22
p177
exemplar
sec-b
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area bounded by the lines $y=4x+5,y=5-x$ and $4y=x+5.$
cbse
class12
ch8
q21
p177
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Compute the area of the bounded by the line $x+2y=2,y-x=1$ and $2x+y=7.$
cbse
class12
ch8
q20
p177
exemplar
sec-c
difficult
modelpaper
2012
q25
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Draw a rough sketch of the region {(x,y):$y^2\leq 6ax $ and $x^2+y^2\leq 16a^2$}.Also find the area of the region sketched using method of integration.
cbse
class12
ch8
q19
p177
exemplar
sec-c
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area of region bounded by the triangle whose vertices are $(-1,1),(0,5)$ and $(3,2)$ using integration.
cbse
class12
ch8
q18
p177
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area bounded by the curve y=sinx between $x=0$ and $x=2\pi$.
cbse
class12
ch8
q17
p177
exemplar
sec-b
easy
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area of the region bounded by the curve $y^2=2x$ and $x^2+y^2=4x.$
cbse
class12
ch8
q16
p177
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area bounded by the curve $y=\sqrt x,x=2y+3$ in the first quadrant and $x$-axis.
cbse
class12
ch8
q15
p177
short-answer
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area of the enclosed by the curve $y=-x^2$ and the straight line $x+y+2=0.$
cbse
class12
ch8
q14
p177
short-answer
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
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