Home
Class 11
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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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

If two distinct chords, drawn from the point (p,q) on the circle x^(2)+y^(2)=px+qy, where pq!=0 are bisected by x-axis then show that p^(2)gt8q^(2) .

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

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

Prove that p x^(q-r)+q x^(r-p)+r x^(p-q)> p+q+r ,where p, q, r are distinct and x!=1.

If two positive integers a and b are expressible in the form a=p q^2 and b=p^3q ; p ,\ q being prime numbers, then LCM (a ,\ b) is (a) p q (b) p^3q^3 (c) p^3q^2 (d) p^2q^2

If the solution to 2x^(2)-8x-5=0 are p and q with pgtq , what is the value of p-q?

If 2 + isqrt3 is a root of x^(3) - 6x^(2) + px + q = 0 (where p and q are real) then p + q is

Any chord of the conic x^(2)+y^(2)+xy=1 passing through origin is bisected at a point (p, q), then (p+q+12) equals to :

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  2. The locus of the point of intersection of the tangents to the circle x...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the locus of the center of the circle touching the circle x^2+y^2...

    Text Solution

    |

  5. If the line a x+b y=2 is a normal to the circle x^2+y^2+4x+4y=0 and a ...

    Text Solution

    |

  6. If a line segement A M=a moves in the plane X O Y remaining parallel t...

    Text Solution

    |

  7. The ends of a quadrant of a circle have the coordinates (1, 3) and (3,...

    Text Solution

    |

  8. The tangents to x^2+y^2=a^2 having inclinations alpha and beta inte...

    Text Solution

    |

  9. If the length of a common internal tangent to two circles is 7, and th...

    Text Solution

    |

  10. If C1,C2,a n dC3 belong to a family of circles through the points (x1,...

    Text Solution

    |

  11. Two circle are externally tangent. Lines PAB and P A 'B ' are common t...

    Text Solution

    |

  12. Prove that quadrilateral A B C D , where A B-=x+y-10 ,B C-=x-7y+50=0,C...

    Text Solution

    |

  13. Statement 1 : Let S1: x^2+y^2-10 x-12 y-39=0, S2 x^2+y^2-2x-4y+1=0 an...

    Text Solution

    |

  14. Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-...

    Text Solution

    |

  15. Let the lines (y-2)=m1(x-5) and (y+4)=m2(x-3) intersect at right angle...

    Text Solution

    |

  16. A variable circle passes through the point A(a ,b) and touches the x-a...

    Text Solution

    |

  17. Find the equation of the circle if the chord of the circle joining (1,...

    Text Solution

    |

  18. Find the equation of the circle which passes through (1, 0) and (0, 1)...

    Text Solution

    |

  19. Tangents are drawn from the origin to the circle x^2+y^2-2h x-2h y+h^2...

    Text Solution

    |

  20. Let A (-2,-2)and B (2,2) be two points AB subtends an angle of 45^@ at...

    Text Solution

    |