Brijesh Dwevedi and Jitendra Gupta Solutions for Chapter: Mid Term Tests [Chapters Covered - 1-9], Exercise 1: TEST 2

The radius of a circle is $13 \mathrm{cm}$ and the length of its chords is $10 \mathrm{cm}$. Find the distance of the chord from the centre.

A rational number between $\sqrt{2}$ and $\sqrt{3}$ is

Find the value of $\angle ABC$.

Write the coordinates of the points given in the following graph.

I am three times as old as my son. Five years later. I shall be two and half times as old as my son. Taking my age as $x$ yr and my son's age as $y$ yr. then write the linear equation so formed.

In the given figure, if $y=20°$, then prove that line $AOB$ is a straight line.

Find the height of the equilateral triangle whose area is $81\sqrt{3}{\mathrm{cm}}^2$.

In $△DEF, M$ and $N$ are mid-points of sides $EF$ and $DE$, respectively. If ar$\left(△ENM\right)=4 {\mathrm{cm}}^2$, then find ar ($△DEF$).