Embibe Experts Solutions for Chapter: Solved Mathematics Paper-2, Exercise 1: Exercise

The minimum value of $4 {\tan }^2 \theta +9 {\cot }^2 \theta$ is

In $∆ABC$, $\angle B$ is a right angle, $\angle ACB=\theta$, $AB=p$ and $BC=q$. If $cot \theta <1$, then 

Find the canonical decomposition of the number $133848$.

Find the canonical decomposition of the number $217350$.

Triangle $ABC$ has vertices $A(3,-1), B(-3,-5)$ and $C(-1,5)$. Determine whether the triangle is a right triangle. Fully justify your answer.

Solve the equation $3x^2-48=0$ leaving your answers exact.

Use concept of slope to prove following points are collinear.

$\left(0,3\right),\left(1,5\right),\left(-2,-1\right) \& \left(-4,-5\right)$

If take $28 gm$ flour to make dough for a pizza with diameter $100 mm$.How much flour do you need to make pizza but with a diameter $200 mm$