Rajbir Singh

Answer to: Assertion (A): $\triangle ABC \sim \triangle PQR$ such that $\angle A = 65^\circ, \angle C = 55^\circ$. Reason (R): Sum of all angles of a triangle is 180°.

Sum of angles in $\triangle ABC$:

$\angle A + \angle B + \angle C = 180^\circ$
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Answer to: In the given figure, AB || DE and BD || EF. Prove that $DC^2$ = CF x АС

Since $AB \parallel DE$ and $BD \parallel EF$, triangles formed by these parallel lines with transve...

Answer to: Three friends plan to go for a morning walk. They step off together and their steps measures 48 cm, 52 cm and 56 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps ten times?

The three friends take steps of lengths $48$ cm, $52$ cm, and $56$ cm respectively.

To...

Answer to: Prove that $\displaystyle [1 + \frac{1}{tan^2\theta}] + [1 + \frac{1}{cot^2\theta}] = \frac{1}{sin^2\theta - sin^4\theta}$

\textbf{To Prove:}
$ \left[1 + \frac{1}{\tan^2\theta} \right] + \left[1 + \frac{1}{\cot^2\the...

Answer to: The sum of a number and its reciprocal is $\frac{13}{6}$ Find the number.

Let the number be $x$.

According to the given condition:

$ x + \frac{1}{x}...