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

Two dice, one red and one yellow are thrown at the same time. Write down the possible out comes that the sum of the two numbers appearing on the top of the dice is $8$.

Draw the Venn diagram of $A - B$ where $A \text{and} B$ are non empty sets.

The wickets taken by a bowler in $10$ cricket matches are as follows : $2, 6, 4, 5, 0, 2, 1, 3, 2,3.$ Find the mode of the data.

Prove that$(\sqrt{2}+ \sqrt{3})$ is irrational.

If $\cos ec\theta + cot\theta = k$ then prove that $\cos \theta =\frac{k^2-1}{k^2+1}$.

A box contains $90$ discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears $i)$a two-digit number $ii)$ a perfect square.

Draw the graph of $p\left(x\right) x^2– 6x+9$and find the zeroes.

Draw a pair of tangents to a circle of radius $5 cm$which are inclined to each other at an angle of $60º.$