Exercise

Find the H.C.F of $1260$ and $7344$ using Euclid's algorithm.

Four vertices of a quadrilateral are $\left(-5,-5\right), \left(2,-4\right), \left(3, 2\right)$ and $\left(-2, 3\right)$. Find the area of the quadrilateral.

If $x\cos \theta =1$ and $y\cot \theta =1$, then $x^2-y^2=$ _____.

A company makes light bulbs. When it tests a sample of $100$ bulbs, it finds that, on average, $6$ are faulty. Calculate the empirical probability that a bulb will be faulty

Show that the following points are collinear.

$\left(-1,1\right), \left(5,7\right), \left(8,10\right)$

Solve:

$x^2={\sin }^2\left(30°\right)+4co{t}^2\left(45°\right)-se{c}^2\left(60°\right)$

Show that the points $A\left(2, 7\right), B\left(3, 0\right), C\left(-4, -1\right)$ are vertices of an isosceles triangle and find the length of base.

Prove that :

$\sqrt{\frac{1+\cos \left(30°\right)}{1-\cos \left(30°\right)}}=\sec \left(60°\right)+\tan \left(60°\right)$