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Recent questions tagged p235

The value of $\int\limits_{0}^{\pi/4}\cos^{3}2x dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{\pi}\sin^{4}x dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{-\pi/2}^{\pi/2}\large\left(\frac{\sin x}{2+\cos x}\right)$$dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{1}x(1-x)^{4}dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{\pi/2}\large\frac{\sin x-\cos x}{1+\sin x \cos x}$$dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{\pi/2}\large\frac{\cos^{5/3}x}{\cos^{5/3}x+\sin^{5/3}x}$$dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The curve $ay^{2}=x^{2}(3a-x)$ cuts the $y$-axis at

asked May 21, 2013 by poojasapani_1

1 answer

The curve $9y^{2}=x^{2}(4-x^{2})$ is symmetrical about

asked May 21, 2013 by poojasapani_1

1 answer

If $u=f\large\left(\frac {y}{x} \right) $ then $x\large\frac{\partial u}{\partial x}$+$y\large\frac{\partial u}{\partial y}$ is equal to

asked May 21, 2013 by poojasapani_1

1 answer

Show that the lines $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}=\lambda \;and\;\frac{x-4}{5}=\frac{y-1}{2}=z=\mu\;$intersect. Also,find thier point of intersection.

asked Mar 7, 2013 by sreemathi.v

1 answer

Find the angle between the lines whose direction cosines are given by the equations $l+m+n=0,l^2+m^2-n^2=0$

asked Jan 3, 2013 by sreemathi.v

1 answer

Find the equation of the plane through the points (2,1,0),(3,-2,-2) and (3,1,7).

asked Jan 3, 2013 by sreemathi.v

1 answer

If the line drawn from the point $(-2,-1,-3)$ meets a plane at right angle at the point $(1,-3,3)$ find the equation of the plane.

asked Jan 3, 2013 by sreemathi.v

1 answer

Find the equation of a plane which is at a distance $3\sqrt 3$ units from origin and the normal to which is equally inclined to coordinate axis.

asked Jan 3, 2013 by sreemathi.v

1 answer

Find the equation of a plane which bisects perpendicularly the line joining the points A(2,3,4) and B(4,5,8) at right angles.

asked Jan 3, 2013 by sreemathi.v

1 answer

Prove that the lines $x=py+q;z=ry+s$ and $x=p'y+q';z=r'y+s'$ are perpendicular if $pp'+rr'+1=0.$

asked Jan 3, 2013 by sreemathi.v

1 answer

Prove that the line through $A(0,-1,-1)$ and $B(4,5,1)$ intersects the line through $C(3,9,4)$ and $D(-4,4,4)$

asked Jan 3, 2013 by sreemathi.v

1 answer

Find the angle between the lines $r=(3\hat i+2\hat j+6\hat k) +\lambda(2\hat i+\hat j+2\hat k) \;and\; r=(2\hat i-5\hat k)+\mu(6\hat i+3\hat j+2\hat k)$

asked Jan 3, 2013 by sreemathi.v

1 answer

Find the vector equation of the line which is parallel to the vector $3\hat i+2\hat j+6\hat k$ and which passes through the point $(1,-2,3).$

asked Jan 3, 2013 by sreemathi.v

1 answer

Find the position vector of a point A in space such that $\overrightarrow{OA}$ is inclined at $60^{\circ}$ to OX and at $45^{\circ}$ to OY and $\mid \overrightarrow{OA}\mid$=10 units.

asked Jan 3, 2013 by sreemathi.v

1 answer

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