Home
Class 12
MATHS
If two distinct chords, drawn from the p...

If two distinct chords, drawn from the point (p, q) on the circle `x^2+y^2=p x+q y` (where `p q!=q)` are bisected by the x-axis, then `p^2=q^2` (b) `p^2=8q^2` `p^2<8q^2` (d) `p^2>8q^2`

A

`p ^(2) =q ^(2)`

B

`p 6(2) = 8q ^(2)`

C

`p ^(2) lt 8q ^(2)`

D

`p ^(2) gt 8q ^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT-BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|55 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

If two distinct chords,drawn from the point (p, q) on the circle x^(2)+y^(2)=px+qy (where pq!=q) are bisected by the x -axis,then p^(2)=q^(2)(b)p^(2)=8q^(2)p^(2) 8q^(2)

The chord of contact of tangents from three points P, Q, R to the circle x^(2) + y^(2) = c^(2) are concurrent, then P, Q, R

The equations of the tangents drawn from the origin to the circle x^2 + y^2 - 2px - 2qy + q^2 = 0 are perpendicular if (A) p^2 = q^2 (B) p^2 = q^2 =1 (C) p = q/2 (D) q= p/2

2x(p^2+q^2)+4y(p^2+q^2)

The circumference of the circle x^(2)+y^(2)-2x+8y-q=0 is bisected by the circle x^(2)+y^(2)+4x+12y+p=0, then p+q is equal to

Equation of any circle passing through the point(s) of intersection of circle S=0 and line L=0 is S + kL = 0 . Let P(x_1, y_1) be a point outside the circle x^2 + y^2 = a^2 and PA and PB be two tangents drawn to this circle from P touching the circle at A and B . On the basis of the above information : The circle which has for its diameter the chord cut off on the line px+qy - 1 = 0 by the circle x^2 + y^2 = a^2 has centre (A) (p/(p^2 + q^2), (-q)/(p^2 + q^2) (B) (p/(p^2 + q^2), (q)/(p^2 + q^2) (C) (p/(p^2 + q^2), (q)/(p^2 + q^2) (D) none of these

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

  2. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

    Text Solution

    |

  3. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  4. Let L1 be a straight line passing through the origin and L2 be the s...

    Text Solution

    |

  5. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  6. For each natural number k. Let C(k) denotes the circle with radius k c...

    Text Solution

    |

  7. C1 and C2 are circle of unit radius with centers at (0, 0) and (1, 0),...

    Text Solution

    |

  8. A chord of the circle x^2 + y^2 - 4x - 6y = 0 passing through the orig...

    Text Solution

    |

  9. On the line joining the points A (0,4) and B (3,0), a square ABCD is c...

    Text Solution

    |

  10. A circle with center at the origin and radius equal to a meets the axi...

    Text Solution

    |

  11. Equation of a circle having radius equal to twice the radius of the ci...

    Text Solution

    |

  12. A circle C1 of radius b touches the circle x^2 + y^2 =a^2 externally a...

    Text Solution

    |

  13. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

    Text Solution

    |

  14. The locus of points of intersection of the tangents to x^(2)+y^(2)=a^...

    Text Solution

    |

  15. If theta is the angle subtended by the circle S -= x ^(2) + y ^(2) + 2...

    Text Solution

    |

  16. If the area of the quadrilateral formed by the tangent from the origin...

    Text Solution

    |

  17. An equation chord joining the points (1,2) and (2,-1) subtends an angl...

    Text Solution

    |

  18. An equation of a common tangent to the circle x ^(2) + y ^(2) + 14 x -...

    Text Solution

    |

  19. The locus of the point, the sum of the squares of whose distances from...

    Text Solution

    |

  20. An isosceles triangle ABC is inscribed in a circle x^2+y^2=a^2 with t...

    Text Solution

    |