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

Find two consecutive odd integers whose product is $99$.

Find the coordinates of a point $A$, where $AB$ is diameter of a circle whose centre is $\left(2,-3\right)$ and $B$ is the point $\left(1,4\right)$. 

Number of readers in a library are given below. Write the frequency of respective classes. Also write the less than cumulative frequency table.

The graph of $y=-5x^2+2x-4$

Number of tangents drawn from a point inside the circle is:

If the point $P\left(k,0\right)$ divides the line segment joining the points $A\left(2,-2\right)$ and $B\left(-7,4\right)$ in the ratio $1:2$, then the value of $k$ is 

The distance between the points $\left(a\cos \theta +b\sin \theta , 0\right)$ and $\left(0, a\sin \theta -b\cos \theta \right)$, is 

Prove that: ${\left(\mathrm{cosec}\theta -\cot \theta \right)}^2=\frac{1-\cos \theta }{1+\cos \theta }$