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

If a chord of the circle `x^(2)+y^(2)-4x-2y-c=0` is trisected at the points `((1)/(3),(1)/(3))and((8)/(3),(8)/(3))` then

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 ENGLISH|Exercise SECTION -D|24 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION -E ( Assertion-Reason Type Questions )|18 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

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

The equation of the chord of the circle x^(2)+y^(2)-6x+8y=0 which is bisected at the point (5, -3), is

The equation of the chord of the circle x^(2)+y^(2)-4x+6y-3=0 having (1,-2) as it midpoint is

The line 3x -4y = k will cut the circle x^(2) + y^(2) -4x -8y -5 = 0 at distinct points if

The chord of contact of (3,-1) w.r.t the circle x^(2)+y^(2)+2x-4y+1=0 is

Find the equation of polar of the point (i) (3,-1) with resect to the cirlce 2x^(2)+2y^(2)=11 (ii) (2,3) with respect to the circle x^(2)+y^(2)+6x+8y-96=0 (iii) (4,3) with respect to the circle x^(2)+y^(2)-8x-6y-9=0 (iv) (1,2) with respect to the cirlce x^(2)+y^(2)=7 (v) (1,-2) with respect to the circle x^(2)+y^(2)-10x-10y+25=0

If the hyperbola xy=c^(2) intersects the circle x^(2)+y^(2)=a^(2)" is four points "P(x_(1),y_(1)), Q(x_(2),y_(2)), R(x_(3),y_(3)) and S(x_(4),y_(4)) then show that (i) x_(1)+x_(2)+x_(3)+x_(4)=0 (ii) y_(1)+y_(2)+y_(3)+y_(4)=0 (iii) x_(1)x_(2)x_(3)x_(4)=c^(4) (iv) y_(1)y_(2)y_(3)y_(4)=c^(4)

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

Find the equation of the chord of the circle x^2 + y^2 + 6x+8y+9=0 , whose middle point is (-2, -3) .

The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such that

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

    Text Solution

    |

  2. Find the equation of the tangent to the circle x^2+y^2+4x-4y+4=0 which...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the equation of a circle with center (4, 3) touching the circle x...

    Text Solution

    |

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

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. Show that the common tangents to the circles x^(2)+y^(2)-6x=0andx^(2)+...

    Text Solution

    |

  8. The following equilibria are given by rhoN(2)+3H(2)hArr2NH(3):K(1) ...

    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 concentric circles, the radius of C(2) being tw...

    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

    |