Home
Class 12
MATHS
The length of the common chord of the ci...

The length of the common chord of the circles `(x-a)^(2)+(y-b)^(2)=c^(2)` and `(x-b)^(2)+(y-a)^(2)=c^(2)`, is

Text Solution

Verified by Experts

The correct Answer is:
i.e. `2c^(2)=(a-b)^(2)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|18 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2) touch each other, then

The equation of the circle on the common chord of the circles (x-a)^(2)+y^(2)=a^(2) and x^(2)+(y-b)^(2)=b^(2) as diameter, is

The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and x^(2)+y^(2)+4y-1=0 , is

The length of the common chord of the circles (x-6)^2+(y-4)^2=4, (x-4)^2+(y-6)^2=4 is

The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=1 and the circle (x-1)^2+(y-2)^2=1 is (A) 2 (B) sqrt3 (C) 4 (D) none of these

The length of the common chord of the circles x^2+y^2+ax+by+c=0 and x^2+y^2+bx+ay+c=0 is

The length of the common chord of the two circles x^2+y^2-4y=0 and x^2+y^2-8x-4y+11=0 is

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

Find the length of the common chord of the circle x^2+y^2+2hx+a^2=0 and x^2+y^2-2ky-a^2=0 .

The length of common chord of ellipse 4(x-1)^2 + 9 (y-2)^2 = 36 and (x-1)^2 + (y-2)^2 = 1 , is (A) 0 units (B) 2 units (C) 4sqrt(2) units (D) 8sqrt(2) units