Recent questions tagged medium

The value of $\cos^248^{\large\circ}-\sin^212^{\large\circ}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

If $A$ lies in the second quadrant and $3\tan A+4=0$,then the value of $2\cot A-5\cos A+\sin A$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$. Its equation is

asked Apr 21, 2014 by meena.p

1 answer

Equation of the chord of the hyperbola $25x^2-16y^2=400$ which is bisected at the point $(6,2)$ is

asked Apr 21, 2014 by meena.p

1 answer

Find the equation of hyperbola if the distance between the foic is $16, e=\sqrt 2$ and axis along x-axis with centre oxgin.

asked Apr 21, 2014 by meena.p

1 answer

If $\sin \theta=-\large\frac{4}{5}$ and $\theta$ lies in third quadrant then the value of $\cos\large\frac{\theta}{2}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

If $\sin \theta+\cos \theta=1$,then the value of $\sin 2\theta$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\sin 50^{\large\circ}-\sin 70^{\large\circ}+\sin 10^{\large\circ}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

A rectangular hyperbola whose cetre is C is cut by any circle of radius r in four points $P,Q,R$ and S. Then $CP^2+CQ^2+CR2+CS^2$ is equal to.

asked Apr 21, 2014 by meena.p

1 answer

If angle between the asymptotcs of the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$is $45^{\circ}$ then value of eccentricity $e$ is :

asked Apr 21, 2014 by meena.p

1 answer

The value of $\sin\large\frac{\pi}{10}$$\sin\large\frac{13\pi}{10}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

Equation of chord of the hyperbola $25x^2-16y^2=400$ which is bisected at the point $(6,2)$ is

asked Apr 21, 2014 by meena.p

1 answer

The value of $\cos 12^{\large\circ}+\cos 84^{\large\circ}+\cos 156^{\large\circ}+\cos 132^{\large\circ}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

The locus of a point $p(\alpha, \beta)$ moving under the condition that the line $y=\alpha x + \beta$ is a tangent to the hyperbola $\large\frac{x^2}{a^2} -\frac{y^2}{b^2}$$=1$ is

asked Apr 21, 2014 by meena.p

1 answer

$\cos 2\theta\cos 2\phi+\sin^2(\theta-\phi)-\sin^2(\theta+\phi)$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\cot(\large\frac{\pi}{4}+$$\theta).\cot(\large\frac{\pi}{4}$$-\theta)$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\sin (45^{\large\circ}+\theta)-\cos(45^{\large\circ}-\theta)$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

A circle touches the x-axis and also touches the circle with centre at $(0,3)$ and radius the circle with centre at $(0,3)$ and radius 2. The locus of the center of circle is

asked Apr 21, 2014 by meena.p

1 answer

The value of $\tan 75^{\large\circ}-\cot 75^{\large\circ}$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

If $e_1$ and $e_2$ are the eccentricities of the hyperbolas $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ and $\large\frac{y^2}{b^2}-\frac{x^2}{a^2}$$=1$ Then value of $\large\frac{1}{e_1^2}+\frac{1}{e_2^2}$ is

asked Apr 21, 2014 by meena.p

1 answer

The value of $\large\frac{1-\tan^215}{1+\tan^215}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\tan 1^{\large\circ}\tan 2^{\large\circ}\tan 3^{\large\circ}$........$\tan 89^{\large\circ}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

If $\tan \theta=\large\frac{1}{2}$ and $\tan\phi=\large\frac{1}{3}$,then the value of $\theta+\phi$ is

asked Apr 21, 2014 by sreemathi.v

1 answer