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Recent questions tagged q21
Questions
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 angle between the following pair of lines : $\large\frac{-x+2}{-2}=\frac{y-1}{7}=\frac{z+3}{-3}$ and $\large\frac{x+2}{-1}=\frac{2y-8}{4}=\frac{z-5}{4} $ and check whether the lines are parallel or perpendicular.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Find the value of p so that the lines $ \large\frac{1-x}{3}=\frac{7y-14}{2p}=\frac{z-3}{2}$ and $\large\frac{7-7x}{3p}=\frac{y-5}{1}=\frac{6-z}{5} $ are right angles.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Find the equation of plane passing through the point (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5). Also, find the perpendicular distance of the plane from the origin.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Find the equation of the perpendicular drawn from the point p(2,4,-1) to the line \( \frac{x+5}{1} = \frac{y+3}{4}=\frac{z-6}{-9} \).
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Find the equation of a line passing through the point (-1,-1,2) and perpendicular to the planes \( 3x+2y-3z=1 \: and \: 5x-4y+z=5\)
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
Find the equation of a line passing through the point (2,1,3) and perpendicular to the lines $ \large\frac{x-1}{1} = \frac{y-2}{2} = \frac{z-3}{3}$ and $\large\frac{x}{-3}=\frac{y}{2}=\frac{z}{5} $.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Feb 2, 2013
by
thanvigandhi_1
1
answer
$\Large \int \frac {dx}{x+\sqrt x}=$\[(a)\;\log (1+\sqrt x) \qquad (b)\;\frac{1}{2}\log (1+\sqrt x) \qquad(c)\;2\log (1+\sqrt x) \qquad(d)\;\log (x+\sqrt x)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q21
p25
math
asked
Feb 1, 2013
by
meena.p
0
answers
In a meeting, 70% of the members favour a certain proposal, 30% being opposite. A member is selected at random and we take X = 0, if he opposed, and x = 1, if he is in favour. Find E(X) and variance (X).
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Find the equation of a curve passing through the point (0,2) given that the sum of the coordinate of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Find the particular solution of the following differential equation satisfying the given condition : $ \bigg[ x\: sin^2 \bigg(\large\frac{y}{x} \bigg)$$ - y \bigg] dx+x\: dy=0; y(1)=\large\frac{\pi}{4} $
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Using vector, prove that in any triangle \( ABC, a=b\cos C + c \cos B.\)
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
Find the equation of the plane passing thriugh a point (3, -3, 1) and normal to the line joining the points (3, 4,-1) and (2, -1, 5).
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 29, 2013
by
thanvigandhi_1
0
answers
If $ \Large\frac{dy}{dx} \normalsize =0$ then the tangent is \[(a)\;Parallel to x-axis\qquad(b)\;parallel to y-axis\qquad(c)\;Perpendicular to x-axis\qquad\]\[(d)\;perpendicular to y-axis\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q21
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
A car, traveling with a uniform acceleration, has a velocity of 18 km/hour at a certain time and 54 km/hour after covering a distance of 500m. How much further will it travel to attain a velocity of 72 km/hour?
cbse
class12
modelpaper
2005
sec-b
q21
math
asked
Jan 28, 2013
by
fingeazy
0
answers
Find the equation of plane through the points (2,2,1), (9,3,6) and perpendicular to the plane \( 2x+6y+6z=9.\)
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Find the equation of the line through A(5,-3,2) and through the intersection $\large \frac{x-2}{1} = \frac{y-3}{5} = \frac{z-4}{4}$ and $ \large\frac{x-4}{3} = \frac{y-2}{4} = \frac{z+3}{-3} $
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 27, 2013
by
thanvigandhi_1
0
answers
Find all the points of discontinuity of f defined by f(x) = | x | - | x+1|.
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q21
p12
easy
math
sec-a
asked
Jan 25, 2013
by
meena.p
1
answer
Find the value of \( \lambda \) so that the lines $ \large\frac{1-x}{3} = \frac{y-2}{2\lambda} = \frac{z-3}{2}$ and $\large\frac{x-1}{3\lambda} = \frac{y-1}{1} = \frac{6-z}{5} $ are perpendicular.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
Find the values of a, b, c if the matrix $\begin{bmatrix} 0 & 2b & c \\ a & b & -c \\ a & -b & c \end{bmatrix}$ satisfy the equation $ A^1A=I_3$
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q21
p8
math
sec-b
asked
Jan 24, 2013
by
meena.p
0
answers
Find the shortest distance between the lines $ \overrightarrow r = \hat i + 2\hat j + 3\hat k + \lambda(2\hat i + 3\hat j + 4 \hat k) \: and \: \overrightarrow r = 2\hat i + 4\hat j + 5\hat k + \mu(3\hat i + 4\hat j + 5 \hat k). $
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
A company has two plants to manufacture motor cycled. 70% motor cycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motor cycles are rated of the standard quality while at the second plant, 90% are rated of standard quality. A motor cycle, randomly picked up, is found to be of standard quality. Find the probability that it has come out from the second plant.
cbse
class12
modelpaper
2005
sec-c
q21
math
asked
Jan 24, 2013
by
fingeazy
1
answer
If $ \tan^{-1}a+\tan^{-1}b+\tan^{-1}c=\pi,\;prove\;that\;a+b+c=abc.$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q21
p6
medium
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
Find the intervals in which the functions \( f(x) = sin^4x+cos^4x, 0 \leq x \leq \large\frac{\pi}{2}\) is strictly increasing or decreasing.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Let N denote the set of all natural numbers and R be the relation on N x N defined by $ (a,b)R(c,d) \Leftrightarrow ad(b + c) = bc(a + d).$ Show that R is an equivalence relation on N x N.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q21
p4
math
sec-b
asked
Jan 23, 2013
by
meena.p
1
answer
Find the vector equation of the line parallel to the line \( \large\frac{x-1}{5} = \frac{3-y}{2} = \frac{z+1}{4}\) and passing through (3, 0, -4). Also, find the distance between these two lines.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 22, 2013
by
thanvigandhi_1
0
answers
Prove that the image of the point (3, -2, 1) in the point \( 3x-y+4z=2\) lies in the plane \( x+y+z+4=0\).
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 22, 2013
by
thanvigandhi_1
0
answers
Find the equation of the plane passing through the points (0,-1,-1), (4,5,1) and (3,9,4).
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
Find the coordinates of foot of perpendicular drawn from the point A(1,8,4) to the line joining the points B(0, -1, 3) and (2,-3,-1).
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
Solve the differential equation $dy=\cos x(2-y\; cosec x)dx$ given that $y=2$ when $x=\Large\frac{\pi}{2}$.
cbse
class12
ch9
sec-b
q21
p194
short-answer
exemplar
math
asked
Jan 18, 2013
by
sreemathi.v
1
answer
The vector having initial and terminal points as $(2,5,0)$ and $(-3,7,4)$ respectively is
cbse
class12
ch10
q21
p217
exemplar
easy
sec-a
math
asked
Jan 17, 2013
by
sreemathi.v
1
answer
Find the shortest distance between the lines $\large\frac{x-3}{1} = \frac{y-5}{-2} = \frac{z-7}{1}$$ \: and \: \large\frac{x+1}{7} = \frac{y+1}{-6} = \frac{z+1}{1}. $
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 17, 2013
by
thanvigandhi_1
0
answers
Find the area bounded by the lines $y=4x+5,y=5-x$ and $4y=x+5.$
cbse
class12
ch8
q21
p177
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Show that the line : $ \large\frac{x-5}{4}=\large\frac{y-7}{4}=\frac{z+3}{-5}$$ \: and \: \large\frac{x+8}{7}=\frac{y-4}{1}=\frac{z-5}{3} $ intersect each other.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
Evaluate the following $\int\frac{\sin^{-1}x}{(1-x^2)^{\frac{3}{2}}}dx$
cbse
class12
ch7
q21
p164
short-answer
exemplar
sec-b
difficult
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Show that the plane passing through (1, 1, 1),(1, 01, 1) and (-7, -3, -5) is perpendicular to ZX-plane.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 14, 2013
by
thanvigandhi_1
0
answers
A variable plane is at a constant distance '3p' from the origin and meets the axes in A, B, C respectively, then show that locus of the centroid of \( \Delta \)ABC is $ \frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=\frac{1}{p^2} $
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 14, 2013
by
thanvigandhi_1
0
answers
A man is known to speak the truth 3 out of 5 times. He throws a dice and reports that it is 1. Find the probability that it is actually 1.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 11, 2013
by
thanvigandhi_1
0
answers
Show that for a$\quad 1,f(x)=\sqrt 3\sin x-\cos x-2ax+b$ is decreasing in R.
cbse
class12
ch6
q21
p137
short-answer
exemplar
medium
sec-b
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
Find the equation of the plane passing through the points (2, 3, 2), (2, -2, -1) and (7, 0, 6).
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Find the equation of the line passing through the point (-1, 3, -2) and perpendicular to the lines $\large \frac{x}{1}=\large\frac{y}{2}=\large\frac{z}{3} $ and $\large\frac{x+2}{-3}=\frac{y-1}{2}=\frac{z+1}{5}. $
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Find the point on the line \( \large\frac{x+2}{3}=\frac{y+1}{2}=\frac{z-3}{2}\) at a distance \( 3\sqrt 2\) from the point (1, 2, 3).
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Find the shortest distance between the following lines : $ \large\frac{x-3}{1}=\frac{y-5}{-2}=\frac{z-7}{1} $$ and $$ \large\frac{x+1}{7}=\frac{y+1}{-6}=\frac{z+1}{1} $
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Ten coins are tossed.What is the probability of getting at least 8 heads?
cbse
class12
ch13
q21
p273
short-answer
exemplar
sec-a
easy
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
Find the equation of the \( \bot \) drawn from point (2, 4, -1) to the line \( \frac{\large x+5}{\large 1}=\frac{\large y+3}{\large 4}=\frac{\large z-6}{\large -9}. \)
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Find the length and the foot of \( \bot \) drawn from point (2, -1, 5) to the line \( \frac{\large x-11}{\large 10}=\frac{\large y+2}{\large -4}=\frac{\large z+8}{\large -11}. \)
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Maximise $Z=x+y$.Subject to $x+4y\leq 8,2x+3y\leq 12,3x+y\leq 9,x\geq 0,y\geq 0$.
cbse
class12
ch12
q21
p253
exemplar
sec-c
medium
math
asked
Jan 7, 2013
by
sreemathi.v
1
answer
The probability that a student entering an university will graduate is 0.4. Find the probability that out of 3 students of the university: (i) none will graduate (ii) only one will graduate (iii) all will graduate.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 7, 2013
by
thanvigandhi_1
1
answer
Find the shortest distance between the following 2 lines - $ \overrightarrow r = (1+2\lambda)\hat i + (1-\lambda)\hat j + \lambda\hat k ;\overrightarrow r = 2\hat i + \hat j - \hat k + \mu (3\hat i - 5\hat j + 2\hat k ) .$
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
In a factory, which manufactures nuts, machines A, B and C manufacture respectively 25%, 35% and 40% of nuts. Of their outputs 5, 4 and 2 percent respectively are defective nuts. A nut is drawn at random from the product and is found to be defective. Find the probability that it is manufactured by machine B.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
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