On a pie chart, there are six sectors of which four are 30^o, 45^o, 60^o, 90^o and the remaining two angles are in ration 2:1. Find the smaller angles of the remaining two angles

Evaluate $\int_{1}^{2}{(6{{x}^{2}}-2x)dx}$

Find the minimal value of the function $y=x(1+x)$

Differentiate sin x – x cos x

Find the derivative of $y=\frac{{{x}^{7}}-{{x}^{5}}}{{{x}^{4}}}$

A student sitting on a tower 68 metres high observes his principal car at an angle of depression of 20^o. How far is the car from the bottom of the tower to the nearest metres?

If $\sin \theta =\frac{3}{5}$, find $\tan \theta $

Calculate the distance between L ( –1, –6) and M(–3, –5)

Find the gradient of a line which is perpendicular to the line with the equation $3x+2y+1=0$

The locus of a point equidistant from two point P(6,2) and R (4,2) is perpendicular bisector of PR passing through