Home
Class 12
MATHS
The coordinates of the middle point of t...

The coordinates of the middle point of the chord cut-off by `2x-5y+18=0` by the circle `x^2+y^2-6x+2y-54=0` are `(1,4)` (b) `(2,4)` (c) `(4,1)` (d) `(1,1)`

A

(1,4)

B

(-4,2)

C

(4,1)

D

(6,6)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The co-ordinates of the middle point of the chord cut off on 2x - 5y +18= 0 by the circle x^2 + y^2 - 6x + 2y - 54 = 0 are (A) (1,1) (B) (2, 4) (C) (4,1) (D) (1, 4)

Find the length of the chord cut-off by y=2x+1 from the circle x^2+y^2=2

Find the coordinates of the middle point of the chord which the circle x^(2)+y^(2)+4x-2y-3=0 cuts-off the line x-y+2=0.

Find the coordinates of the middle point of the chord which the circle x^2 +y^2 + 4x-2y-3=0 cuts off on the line x-y+2=0

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 locus of the middle points of the chords of the circle x^(2) + y^( 2) = 4 ( y + 1) drawn through the origin.

Pole of 3x+5y+17=0 w.r.t the circle x^(2)+y^(2)+4x+6y+9=0 is a) (-1,2) b) (1,2) c)(1,2) d) (2,1)

The shortest distance of (-5,4) to the circle x^(2)+y^(2)-6x+4y-12=0 is

The coordinates of a point on the parabola y^2=8x whose distance from the circle x^2+(y+6)^2=1 is minimum is (2,4) (b) (2,-4) (18 ,-12) (d) (8,8)

Common chord of the circles x^2+y^2-4x-6y+9=0, x^2+y^2-6x-4y+4=0 is