Embibe Experts Solutions for Chapter: Circle, Exercise 1: TS EAMCET - 5 August 2021 Shift 1

If $(2, a)$ does not lie outside the circles $x^2+y^2=13$ and $x^2+y^2+x-2y=14,$ then $a$ lies in

Given the ellipse $\left(E\right) 4x^2+9y^2-36=0,$ the circle $\left(C\right) x^2+y^2-9=0$ and two points $A(1, 2), B(2, 1),$ which of the following is correct?

The locus of the centre of the circles passing through the origin and cutting off a chord of length $2$ units on the line $x=1$ is

The number of common tangents that can be drawn to the circles $x^2+y^2=1$ and $x^2+y^2-2x-6y+6=0$ is

If the circle $x^2+y^2+2kx+4y-4=0$ has it's centre in $4^{\mathrm{th}}$ quadrant and touches the circle $x^2+y^2+6x-2y+6=0$ then, $k=$

A point that lies on the common tangent to the circles $x^2+y^2-2x+18y+78=0$ and $x^2+y^2+8x-6y-200=0$ among the following options is

The length (in units) of the common chord of the circles $x^2+y^2+2x+3y+1=0$ and $x^2+y^2+4x+3y+2=0$ is:

The equation of the circle passing through the points of intersection of two circles $x^2+y^2+2x+3y+1=0, x^2+y^2+4x+3y+2=0$ and the point $(-1, 1)$ is