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

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

A

`2sqrt(11)`

B

`3sqrt(2)`

C

`6sqrt(3)`

D

`8sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 6 (Ellipse)|3 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 7 (Hyperbola)|7 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 4 (Circle)|8 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

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

If the length of the common chord of two circles x^2+y^2+8x+1=0 and x^2+y^2+2muy-1=0 is 2sqrt(6) , then the values of mu are +-2 (b) +-3 (c) +-4 (d) none of these

The equation of the circle whose diameter is the common chord of the circles x^2+y^2+3x+2y+1=0 and x^2+y^2+3x+4y+2=0 is

The length of the common chord of the parabolas y^(2)=x and x^(2)=y is

Find the equation of the common chord of the two circles x^(2)+y^(2)-4x - 10y - 7 = 0 and 2x^(2) + 2y^(2) - 5x + 3y + 2 = 0 . Show that this chord is perpendicular to the line joining the centres of the two circles.

Find the equation of the circle described on the common chord of the circles x^2+y^2-4x-5=0 and x^2+y^2+8x+7=0 as diameter.

Which of the following is a point on the common chord of the circle x^2+y^2+2x-3y+6=0 and x^2+y^2+x-8y-13=0? (1,-2) (b) (1,4) (c) (1,2) (d) (1,-4)

Find the equation to the common chord of the two circles x^(2) + y^(2) - 4x + 6y - 36 = 0 and x^(2) + y^(2) - 5x + 8y - 43 = 0 .

Find the equation of the common chord of the two circles x^(2) + y^(2) - 4x - 2y - 31 = 0 and 2x^(2) + 2y^(2) - 6x + 8y - 35 = 0 and show that this chord is perpendicular to the line joining the two centres.

Find the equation to the circle described on the common chord of the given circles x^2 + y^2 = 4x + 5 and x^2 + y^2 + 8x + 7 = 0 as diameter.