Embibe Experts Solutions for Chapter: Sample Paper 2, Exercise 1: Exercise

If the length of the side of a cube is doubled, how much percent will its total surface area increase?

The residents of Shrushti, plan to celebrate Diwali in the year $2022$ by distributing sweets among the residents. They took a survey to know the quantity of sweets required by each resident. The following frequency distribution shows the demand for a sweet and the number of residents.

Find the mode of demand for sweets.

In the figure, two tangents $\mathrm{TP} \text{and} \mathrm{TQ}$ are drawn to a circle with centre $\mathrm{O}$ from an external point $\mathrm{T}$. Prove that $\angle \mathrm{PTQ}=2\angle \mathrm{OPQ}$.

$a=\left|2-\sqrt{3}\right|$ and $b=\left|1-\sqrt{3}\right|$, then value of $a+b$ is

In the given figure, $O$ is the centre of the circle, $MN$ is tangent to the circle at $A$. If $\angle MAB=60°$. Find $\angle ABN$ and $\angle ANB$.

For what values of $k$, the roots of the equation $x^2+4x+k=0$ are real?

Find a quadratic polynomial whose zeros are reciprocals of the zeros of the polynomials $f\left(x\right)=a{x}^2+bx+c, a\ne 0, c\ne 0.$

The median of the following data is $525$. Find the values of $x$ and $y$, if total frequency is $100$.