Home
Class 12
MATHS
If a chord of the circle x^2+y^2-4x-2y-c...

If a chord of the circle `x^2+y^2-4x-2y-c=0` is trisected at the points `(1/3,1/3)&(8/3,8/3)` , then `' c '` equal to: 10 (b) 20 (c) 40 (d) none of these

A

Length of the chord ` = 7sqrt(2)`

B

k = 20

C

Radius of the circle = 5

D

`k = 25`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -D|24 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -E ( Assertion-Reason Type Questions )|18 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the circle x^(2)+y^(2)-2x+8y-d=0, then (c+d) is equal to

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

If [(2x+y,0),(5,x)] = [(5,0),(5,3)] then y is equal to (a) 1 (b) 3 (c) 2 (d) -1

If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the circle x^(2)+y^(2)-2x+8y-d=0 then c+d

The lines 12 x-5y-17=0&24 x-10 y+44=0 are tangents to the same circle. Then the radius of the circle is: 1 (b) 3/2 (c) 2 (d) none of these

The chord of contact of the pair of tangents drawn from any point on 3x+4y=8 to the circle x^2 + y^2 = 4 passes through a fixed point. (A) (1/2, 15/8) (B) (2, 3/2) (C) (3/2, 2) (D) none of these

The maximum value of Z=4x+2y subjected to the constraints 2x+3ylt=18 ,\ x+ygeq10 ; x ,\ ygeq0 is 36 b. 40 c. 20 d. none of these

If line 3x - y + c = 0 touches circle x^(2) + y^(2) - 2x + 8y - 23 =0 , then c =

The number of common tangents to the circles x^2 + y^2 - 4x + 6y + 8 = 0 and x^2 + y^2 - 10x - 6y + 14 = 0 is : (A) 2 (B) 3 (C) 4 (D) none of these

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
  1. An equation of a line passing through the point (-2, 11) and touching ...

    Text Solution

    |

  2. The equation of the tangent to the circle x^(2) + y^(2) + 4x - 4y + 4 ...

    Text Solution

    |

  3. If a chord of the circle x^2+y^2-4x-2y-c=0 is trisected at the points ...

    Text Solution

    |

  4. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

    Text Solution

    |

  5. An equation of a cirlce through the origin, making an intercept of sqr...

    Text Solution

    |

  6. Find the equations to the common tangents of the circles x^2+y^2-2x-6y...

    Text Solution

    |

  7. The common tangents to the circles x^2 + y^2 + 2x =0 and x^2 + y^2-6x=...

    Text Solution

    |

  8. C(1): x^(2) + y^(2) = 25, C(2) : x^(2) + y^(2) - 2x - 4y -7 = 0 be two...

    Text Solution

    |

  9. Two circles x^(2) + y^(2) + ax + ay - 7 = 0 and x^(2) + y^(2) - 10x ...

    Text Solution

    |

  10. The positive integral value of lambda, for which line 4x + 3y - 16lam...

    Text Solution

    |

  11. If the area of a quadrilateral formed by the tangents from the origin ...

    Text Solution

    |

  12. If (a cos theta(1), a sin theta(1)), ( a cos theta(2), a sin theta(2))...

    Text Solution

    |

  13. Equation of tangents drawn from (0, 0) to x^(2) + y^(2) - 6x -6y + 9 =...

    Text Solution

    |

  14. The locus of the centre of the circle which moves such that it touches...

    Text Solution

    |

  15. If a point (a, sqrt(a)) lies in region bounded between the circles x^(...

    Text Solution

    |

  16. Tangents and normal from a point (3, 1) to circle C whose equation x^(...

    Text Solution

    |

  17. C(1) and C(2) are two concentrate circles, the radius of C(2) being t...

    Text Solution

    |

  18. The equation (s) of common tangents (s) to the two circles x^(2) + y^...

    Text Solution

    |

  19. The equation (s) of circle (s) touching 12x - 5y = 7 at (1, 1) and hav...

    Text Solution

    |

  20. Let circle cuts ortholognally each of the three circles x^(2) + y^(2) ...

    Text Solution

    |