R.K. Singh Solutions for Chapter: SSC Advanced Maths. : Previous Years Solved Papers, Exercise 11: FCI P.T. Exam.: 11.11 .2012

If $\cos x+{\cos }^{2}x=1$, then $\left({\sin }^{12}x+3{\sin }^{10}x+3{\sin }^{8}x+{\sin }^{6}x-1\right)$ numerically equals to

If $a\sin \theta +b\cos \theta =c$, then the value of $a\cos \theta -b\sin \theta$ is equal to

If ${\mathrm{a}}^2+{\mathrm{b}}^2+{\mathrm{c}}^2+3=2(\mathrm{a}-\mathrm{b}-\mathrm{c})$, then $2\mathrm{a}-\mathrm{b}+\mathrm{c}= ?$

A $30 cm$ long chord is $8 cm$ distant from the centre of a circle. Radius of the circle will be

Evaluate: $\tan 1°\tan 2°\tan 3°...\tan 89°$

A straight line parallel to $\mathrm{x}$-axis and $3$ unit below $\mathrm{x}$ axis follows the equation

$\mathrm{P}$ and $\mathrm{Q},$ are two points on a circle with centre $\mathrm{O}.$ There is a point $\mathrm{R}$ on minor are between points $\mathrm{P}$ and $\mathrm{Q}.$ Tangents at points $\mathrm{P}$ and $\mathrm{Q}$ meet each other at point $\mathrm{S}.$ Then if $\angle \mathrm{PSQ}=20°$ then $\angle \mathrm{PRQ}$ will be equal to

In a $∆\mathrm{ABC}, \mathrm{AB}=\mathrm{AC}, \angle \mathrm{BAC}=40°$ then measure of an exterior angle at $\mathrm{B}$ will be