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Recent questions tagged q25
Questions
Using integration find the area of the triangular region whose sides have equations \( y=2x+1,y=3x+1 \: and \: x=4\).
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Evaluate the following $ \int_{-1}^{\large\frac{3}{2}} |x\sin \: \pi \: x |dx $
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Find the area of the region: \( {(x,y): 0 \leq y \leq x^2,0 \leq y \leq x+2:0 \leq x \leq 3}. \)
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Use definite integration, find the area of triangle whose vertices are (-1,6),(1,2) and (5,4).
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Feb 2, 2013
by
thanvigandhi_1
1
answer
Find the area of the smaller region boundary by the ellipse \( \large\frac{x^2}{9}+\large\frac{y^2}{4}=1\) and the straight line \(\large \frac{x}{3}+\frac{y}{2}=1 \).
cbse
class12
modelpaper-2012
sec-c
q25
modelpaper-2014
q27
math
asked
Feb 2, 2013
by
thanvigandhi_1
1
answer
$\large \int \frac {\cos x}{\cos(x-a)} \normalsize dx=A\;x+B\;log \cos(x-\alpha),then $\[(a)\;A=\cos \alpha \qquad (b)\;B=\sin \alpha \qquad(c)\;A=\sin \alpha \qquad(d)\;B=\cos \alpha\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q25
p25
math
asked
Feb 1, 2013
by
meena.p
0
answers
Use definite integration, find the area of triangle whose vertices are (-1,6), (1,2) and (5,4).
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 31, 2013
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 $\large \frac{x}{3}+\frac{y}{2}=1$.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Prove that the curve \( y^2=4x\) and \( x^2=4y\) divide the area of the square bounded by \( x=0,x=4,y=4\: and \: y=0\) into three equation.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
Find the area of the region bounded by $ \{ (x,y):x^2+y^2 \leq 1 \leq x + \frac{y}{2} \}. $
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
Sketch the graph \( y= |x+1|.\) Evaluate \( \int_{-3}^1 |x+1|dx.\) What does the value represent on graph?
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
The least value of $ f(x)=\tan -1(\sin x+cos x)$ strictly increasing is \[(a)\;\bigg(\frac{\pi}{4},\frac{\pi}{2}\bigg)\qquad(b)\;\bigg(0,\frac{\pi}{2}\bigg)\qquad(c)\;0\qquad(d)\;none\; of\; these.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q25
p18
math
asked
Jan 29, 2013
by
meena.p
0
answers
A window is in the form of rectangle surmounted by a semicircular opening. The total perimeter of the window is 10 m. Find the dimensions of the window to admit maximum sunlight through the whole opening.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
$\overset \rightharpoonup {P}$ and $\overset \rightharpoonup {Q}$ are two unlike parallel forces. When the magnitude of $\overset \rightharpoonup {P}$ is doubled, it is found that the line of action of $\overset \rightharpoonup {Q}$ is midway between the lines of action of the new and the original resultants, find the ratio of P and Q.
cbse
class12
modelpaper
2005
sec-b
q25
math
asked
Jan 28, 2013
by
fingeazy
0
answers
Find the area of the region bounded by the parabola \( y=x^2+1\) and the lines \( y=x,x=0 \: and \: x=2.\)
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 27, 2013
by
thanvigandhi_1
0
answers
Find the area enclosed between the parabolas \( y^2=4ax\: and \: x^2=4ay\)
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 26, 2013
by
thanvigandhi_1
0
answers
Let $\phi(x)\;andh(x)$ be derivable at x = c. Show that necessary and sufficient condition for the function defined as :\[f(x)= \left\{ \begin{array}{1 1} \phi(x), & \quad x \leq c \\ h(x), & \quad x>c \end{array} \right. \]to be derivable at x= c are $(i)\phi(c)=h(c)\quad(ii)\phi'(c)=h'(c)$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q25
p13
medium
math
sec-b
asked
Jan 25, 2013
by
meena.p
1
answer
Evalaute : $ \int \sqrt{\large\frac{sin(x-\alpha)}{sin(x+\alpha)}}$$dx $
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
Evalaute : $\int \large\frac{1}{\sin^2x+\sin2x}$$dx. $
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
For what value of 'K' the matrix $ \begin{bmatrix} k & 2 \\ 3 & 4 \end{bmatrix}$has no inverse.
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q25
p8
math
sec-a
asked
Jan 24, 2013
by
meena.p
0
answers
Evaluate : $ \int_0^{\Large\frac{\pi}{2}}\large \frac{dx}{5+4\sin x} $
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
Three forces acting on a particle are in equilibrium. If the angle between the first force and the second force be 120 0 and that between the second force and the third force be 135 0 , find the ratio of their magnitudes.
cbse
class12
modelpaper
2005
sec-b
q25
math
asked
Jan 24, 2013
by
fingeazy
0
answers
A calculator manufacturing company finds that the daily cost of producing calculators is given by C(x) = 200x + 7500. • If each calculator is sold for Rs. 350, find the minimum number of calculators that must be produced daily and sold to ensure no loss. • If the selling price is increased by Rs. 150, what would be the break-even point?
cbse
class12
modelpaper
2005
sec-c
q25
math
asked
Jan 24, 2013
by
fingeazy
0
answers
If $ \cos^{-1}\Large\frac{x}{2}+\normalsize\cos^{-1}\large\frac{y}{3}=\theta ,\;\normalsize prove\;that\;9x^2-12xy\cos\theta +4y^2=36\sin^2\theta $
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q25
p6
medium
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
Compute the area bounded by the lines \( x+2y=2, y-x+ 1 \: and \: 2x+y=7.\)
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Using integration, find the area of the triangle ABC. Coordinates of whose vertices are A(2, 0), B(4, 5) and C(6 ; 3).
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Define a binary operation $^*$ on the set A = {0,1,2,3,4,5} as \[a*b=\left \{ \begin{array} {1 1} a+b, & \quad \text{ if a+b<6} \\ a+b-6, & \quad { if a+b \geq 6} \end{array} \right.\]Show that zero is an identity element for this operation and each element a of the set is invertiable with 6-a being the inverse of a.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q25
p4
math
sec-b
asked
Jan 23, 2013
by
meena.p
0
answers
Find the area of the circle \( 4x^2+4y^2=9\) which is interior to the parabola \( x^2 = 4y\)
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 22, 2013
by
thanvigandhi_1
0
answers
Calculate the area of the region enclosed between the circles \( x^2+y^2=9 \: and \: (x-3)^2+y^2=9.\)
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
Solve:$y+\large\frac{d}{dx}$$(xy)=x(\sin x+log x)$
cbse
class12
ch9
sec-b
q25
p194
exemplar
difficult
math
asked
Jan 18, 2013
by
sreemathi.v
1
answer
The vector from origin to the points $A$ and $B$ are $\overrightarrow{a}=2\hat i-3\hat j-2\hat k$ and $\overrightarrow{b}=2\hat i+3\hat j-\hat k,$ respectively,then the areqa of triangle $OAB$ is
cbse
class12
ch10
q25
p217
exemplar
sec-a
math
asked
Jan 17, 2013
by
sreemathi.v
1
answer
Find the area of circle \( x^2+y^2=16\) which is exterior of the parabola \( y^2=6x\).
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 16, 2013
by
thanvigandhi_1
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
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
Evaluate : $ \int \large\frac{x^4}{x^4-1}$$ dx $
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \: \sqrt {\large\frac{1-\sqrt x}{1+\sqrt x}}dx. $
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Evaluate the following $\displaystyle\int\frac{\cos x-\cos 2x}{1-\cos x}dx$
cbse
class12
ch7
q25
p165
short-answer
exemplar
sec-a
medium
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
(i) In the village of 50 people 25 people have their fast on republic day. Two persons are selected at random out of them, write the probability distribution who are on fast. Also find the mean of the distribution. (ii) What do you mean by republic?
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accident involving a scooter driver, car driver and a truck driver is 0.01, 0.03 and 0.15 respectively. One of the insured person meet with an accident. What is the probability that he is a scooter driver? What do you know by 'insurance'?
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
If the sum of the lengths of the hypotenuse and a side of a right angled triangle is given,show that the area of the triangle is maximum when the angle between them is $\Large \frac{1}{3}$
cbse
class12
ch6
q25
p137
exemplar
medium
sec-c
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
Find the largest possible area of the right-angled triangle whose hypotenuse is 5 cm.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 11, 2013
by
thanvigandhi_1
0
answers
Prove that the radius of the right circular cylinder of the greatest curved surface that can be inscribed in a given cone is half of the radius of the cone.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 11, 2013
by
thanvigandhi_1
0
answers
Find the area of the smaller part of the circle \( x^2+y^2=a^2\) cut off by the line \( x=\large\frac{a}{\sqrt 2}\)
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 10, 2013
by
thanvigandhi_1
2
answers
Using the method of Integration, find the area of the region bounded by the lines \( 2x+y=4, 3x-2y=6,x-3y+5=0.\)
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
The probability distribution of a random variable X is given below:
cbse
class12
ch13
q25
p274
short-answer
exemplar
sec-a
easy
math
asked
Jan 9, 2013
by
sreemathi.v
0
answers
Find the area of the region bounbed by \( y^2=4x, \: x=1, \: x=4\) and \( x\) - axis in the first quadrant.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^2 (x^2+x+1)dx$ as limit of a sum.
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Maximise and minimise Z=3x-4y, subject to $\qquad$ \begin{array}{1 1}x-2y\leq 0\\-3x+y\leq 4\\x-y\leq 6\\x,y\geq 0\end{array}
cbse
class12
ch12
q25
p254
exemplar
sec-c
difficult
math
asked
Jan 8, 2013
by
sreemathi.v
1
answer
Using integration, find the area of the circle \( x^2+y^2=16\) which is exterior to the parabola \( y^2=6x\).
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 7, 2013
by
thanvigandhi_1
0
answers
Find the area of the region included between the parabola \( 4y = 3x^2\) and the lines \( 3x-2y+12 = 0\).
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
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