Home
Class 12
MATHS
Tangents are drawn from external poinl P...

Tangents are drawn from external poinl `P(6,8)` to the circle `x^2+y^2 =r^2` find the radius r of the circle such that area of triangle formed by the tangents and chord of contact is maximum is (A) 25 (B) 15 (C) 5 (D) none

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    FIITJEE|Exercise Assignment Problems (Subjective ) Level -II|13 Videos
  • CIRCLE

    FIITJEE|Exercise Assignment Problems (Objective) Level -I|41 Videos
  • CIRCLE

    FIITJEE|Exercise Exercise 4|6 Videos
  • AREA

    FIITJEE|Exercise Numerical Based|3 Videos
  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

The area of triangle formed by tangents and the chord of contact from (3,4) to y^(2)=2x is

Two tangents are drawn from the point ((25)/(3),0) to the ellipse (x^(2))/(25)+(y^(2))/(16)=1 if area of the triangle formed by the tangents with the chord of contact is equal to A then find the value of A.

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x The area of the triangle for tangents and their chord of contact is

If the pair of tangents are drawn from the point (4,5) to the circle x^(2)+y^(2)-4x-2y-11=0 , then (i) Find the length of chord of contact. (ii) Find the area of the triangle fromed by a pair of tangents and their chord of contact. (iii) Find the angle between the pair of tangents.

Tangents drawn from P(6,8) to a circle x^(2)+y^(2)=r^(2) forms a triangle of maximum area with chord of contact,then r=

Tangents are drawn from (-2,0) to y^(2)=8x then the radius of the circle that would touch these tangents and the corresponding chord of contact can be

Tangents are drawn from the point (4,3) to circle x^(2)+y^(2)=9. The area of the triangle forme by them and the line joining their point of contact is

FIITJEE-CIRCLE-Assignment Problems (Subjective ) Level -I
  1. The abscissae of the two points A and B are the roots of the equation ...

    Text Solution

    |

  2. Two rods of lengths aa n db slide along the x- and y-a xi s , respecti...

    Text Solution

    |

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

    Text Solution

    |

  4. Suppose f(x,y)=0 is the equation of a circle such that f(x,1)=0 has eq...

    Text Solution

    |

  5. if 4alpha^2-5beta^2+6alpha+1=0 , Prove that alphax+betay+1=0 touches ...

    Text Solution

    |

  6. Let A and B be points on the x-axis which are intercepts of circle x...

    Text Solution

    |

  7. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

    Text Solution

    |

  8. A circle of constant radius r passes through the origin O and cuts t...

    Text Solution

    |

  9. Find the equation of circle touching the line 2x + 3y + 1=0 at the poi...

    Text Solution

    |

  10. The equation of the circle which touches the circle x^2+y^2-6x+6y+17 =...

    Text Solution

    |

  11. If (mi , 1/mi), i= 1, 2, 3, 4 are four distinct points on a circle, sh...

    Text Solution

    |

  12. The centre of a circle (1, 1) and its radius is 5 units. If the centre...

    Text Solution

    |

  13. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

    Text Solution

    |

  14. The number of integral values of lambda for which x^2+y^2+(1+lambda)x+...

    Text Solution

    |

  15. If two circles x^2+y^2+2gx+2fy=0 and x^2+y^2+2g'x+2f'y=0 touch each o...

    Text Solution

    |

  16. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

    Text Solution

    |