Recent questions tagged q64

If $\lim \limits_{x \to 0} \bigg(\large\frac{\cos 4x+a \cos 2x+b}{x^4}\bigg)$ is finite, then the values of a,b are respectively :

asked Nov 6, 2013 by meena.p

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The sites of ATPase activity in flagellum/cilium are :

asked Oct 30, 2013 by thanvigandhi_1

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The amount of $H_2SO_4$ present in 1200ml of 0.1m solution is

asked Oct 28, 2013 by sreemathi.v

1 answer

$y= \log \bigg \{ \bigg (\large\frac{1+x}{1-x}\bigg )^{1/4}\bigg\}-\frac{1}{2}$$ \tan ^{-1}(x),$ then $\large\frac{dy}{dx}$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

Choose a pair of statements which are true about Gymnophiona

asked Oct 18, 2013 by thanvigandhi_1

1 answer

If $x-a \bigg \{\cos \theta+ \log \tan \bigg(\large\frac{\theta}{2}\bigg)\bigg\}$ and $y= a \sin \theta$ then $\large\frac{dy}{dx}=$

asked Oct 17, 2013 by meena.p

1 answer

If $f:R \to R$ is defined by $f(x) = \left\{ \begin{array}{l l} \frac{2 sin x-\sin 2x}{2x \cos x}, & \quad if \;x \neq 0 \\ a, & \quad if \; x =0 \end{array} \right. $ then the value of $a$ so that f is continuous at 0 is :

asked Oct 10, 2013 by meena.p

1 answer

Evaluate $\sin^2\large\frac{\pi}{8}+$$\sin^2\large\frac{3\pi}{8}$$+\sin^2\large\frac{5\pi}{8}$$+\sin^2\large\frac{7\pi}{8}$

asked Oct 10, 2013 by sreemathi.v

1 answer

Match the following

asked Oct 6, 2013 by thanvigandhi_1

1 answer

If $f :R \to R$ defined by $f(x)= \left\{ \begin{array}{1 1} \frac{1+3x^2-\cos 2x}{x^2}, & \quad for\; x \neq 0 \\ k & \quad for \; x=0 \end{array}. \right. $ is continuous at x=0, then k=

asked Sep 27, 2013 by meena.p

1 answer

If one of the lines in the pair of straight lines given by $4x^2+6xy+ky^2=0$ bisects the angle between the coordinate axes, then $k \in$

asked Sep 23, 2013 by meena.p

1 answer

$\lim \limits_{x \to 0} \large\frac{\tan ^3 x -\sin ^3 x}{x^5}=$

asked Sep 16, 2013 by meena.p

1 answer

A geostationary satellite is orbiting the earth at a height of 6R where R is radius of earth. The time period of another satellite at a height of $2.5 R$ from the surface of earth is

asked Aug 23, 2013 by meena.p

1 answer

A cord is used to lower vertically a block of mass M,a distance d, at a constant downward acceleration $g/4$. Then work done by cord on block

asked Aug 6, 2013 by meena.p

1 answer

Starting from rest a body slides down a $45^{\circ}$ inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between body and plane is

asked Jul 11, 2013 by meena.p

1 answer

Two stones are projected horizontally from top of a tower in opposite directions with velocities $u_1$ and $u_2$. The time after which their displacement vectors are perpendicular to each other is

asked Jun 28, 2013 by meena.p

1 answer

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

asked May 21, 2013 by poojasapani_1

1 answer

If the amplitude of a complex number is $\pi/2$ then the number is

asked May 12, 2013 by poojasapani_1

1 answer

Evaluate:\[\int _0 ^{\pi/3} \frac {\cos x}{3+4\sin x}dx\]

asked Feb 3, 2013 by meena.p

0 answers

Water is passed into an inverted cone of base radius 5 cm and depth 10 cm at the rate of $\Large\frac{3}{2}$ c.c/sec. Find the rate at which the level of water is rising when depth is 4 cm.

asked Jan 29, 2013 by meena.p

0 answers

The solution of the equation $(2y-1)dx-(2x+3)dy=0$ is\[(A)\;\frac{2x-1}{2y+3}=k \quad (B)\;\frac{2y+1}{2x-3}=k \quad (C)\;\frac{2x+3}{2y-1}=k \quad (D)\;\frac{2x-1}{2y+1}=k \]

asked Jan 20, 2013 by sreemathi.v

1 answer

The least value of the function $f(x)=ax+\frac{b}{x}(a>0,b>0,x>0)$ is ___________.

asked Jan 12, 2013 by sreemathi.v

1 answer

If $y=\tan^{-1}x$, find $\large {\frac{d^2y}{dx^2}}$ in terms of y alone.

asked Jan 2, 2013 by sreemathi.v

1 answer

If A is a square matrix such that $A^2=I$,then $(A-I)^3+(A+I)^3-7A$ is equal to \[(A)\quad A\quad (B)\quad I-A\quad (C)\quad I +A\quad(D)\quad 3A\]

asked Dec 24, 2012 by sreemathi.v

1 answer

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