PYQ Vault
EbooksTutor

One circle bisects the circumference of another

This type of question, asked 4 times: 2021 Paper 1, 2021 Paper 19, 28 Jun 2022, 31 Jan 2024. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 1

    84
    If one of the diameters of the circle x2+y2−2x−6y+6=0x^{2}+y^{2}- 2x- 6y+ 6 = 0 is a chord of another circle ' CC ' whose center is at (2,1)(2,1), then its radius is

  2. Question 2

    2021 Paper 19

    79
    A circle CC touches the line x=2yx = 2y at the point (2,1)(2,1) and intersects the circle C1:x2+y2+2y−5=0C_{1}:x^{2}+y^{2}+ 2y- 5 = 0 at two points PP and QQ such that PQPQ is a diameter of C1C_{1}. Then the diameter of CC is:

    Tap an option to check your answer.

  3. Question 3

    28 Jun 2022

    173
    If one of the diameters of the circle x2+y2−22xx^{2}+y^{2}- 2\sqrt{2}x −62y+14=0- 6\sqrt{2}y+ 14 = 0 is a chord of the circle (x−22)2(x- 2\sqrt{2})^{2} +(y−22)2=r2+ (y- 2\sqrt{2})^{2}=r^{2}, then the value of r2r^{2} is equal to

  4. Question 4

    31 Jan 2024

    64
    If one of the diameters of the circle x2+y2−10x+x^{2}+y^{2}- 10x+ 4y+13=04y+ 13 = 0 is a chord of another circle CC, whose centre is the point of intersection of the lines 2x+2x+ 3y=123y= 12 and 3x−2y=53x- 2y= 5, then the radius of the circle CC is

    Tap an option to check your answer.