Embibe Experts Solutions for Chapter: Circle, Exercise 1: AMU-AT (B.Tech.) 2017

The length of the chord joining the points in which the straight line $\frac{x}{3}+\frac{y}{4}=1$ cuts the circle $x^2+y^2=\frac{169}{25}$ is

A region in the $xy$ -plane is bounded by the curve $y=\sqrt{25-x^2}$ and the line $y=0$. If the point $(a, a+1)$ lies in the interior of the region, then

The equation of the circle whose radius is $5$ and which touches the circle $x^2+y^2-2x-4y-20=0$ externally at the point $\left(5, 5\right)$ is