MHT-CET

Circle question bank (Mathematics)

Practice 115 free MHT-CET Mathematics - Circle questions with answers and step-by-step solutions.

Start free Book a demo

All Easy Hard Medium

Q1.

The equation of the circle whose diameter is common chord to the circles $x^{2}+y^{2}+2 a x+c=0$ and $x^{2}+y^{2}+2 b y+c=0$ is

(A)

$x^{2}+y^{2}-\frac{2 a b^{2}}{a^{2}+b^{2}} x+\frac{2 a^{2} b}{a^{2}+b^{2}} y+c=0$

(B)

$x^{2}+y^{2}-\frac{2 a b^{2}}{a^{2}+b^{2}} x-\frac{2 a^{2} b}{a^{2}+b^{2}} y+c=0$

(C)

$x^{2}+y^{2}+\frac{2 a b^{2}}{a^{2}+b^{2}} x+\frac{2 a^{2} b}{a^{2}+b^{2}} y+c=0$

(D)

$x^{2}+y^{2}+\frac{2 a b^{2}}{a^{2}+b^{2}} x-\frac{2 a^{2} b}{a^{2}+b^{2}} y+c=0$

Show answer & solution

Verified Answer & Solution Locked

Q2.

If $m_{1}$ and $m_{2}$ are the slopes of tangents to the circle $x^{2}+y^{2}=4$ from the point $(3,2)$, then $m_{1}-m_{2}$ is equal to

(A)

$\frac{5}{12}$

(B)

$\frac{12}{5}$

(C)

$\frac{3}{2}$

(D)

Show answer & solution

Verified Answer & Solution Locked

Protected Questions

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign up free to access all 9 questions

Unlock every Circle question, generate papers, and practice at your own pace.