Home
Class 12
MATHS
From a point P outside a circle with cen...

From a point P outside a circle with centre at C, tangents PA and PB are drawn such that `1/(CA)^2+ 1/(PA)^2=1/16`, then the length of chord AB is

A

8

B

12

C

16

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • MATHEMATICS

    FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|30 Videos

  • MATHEMATICS

    FIITJEE|Exercise ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)|130 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

From a point P outside a circle with centre at C, tangents PA and PB are drawn such that (1)/((CA)^(2))+(1)/((PA)^(2))=(1)/(16) , then fid the length of chord AB.

From a point P outside a circle with centre O , tangents PA and PB are drawn to the circle. Prove that OP is the right bisector of the line segment AB .

If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

If PA and PB are tangents from an outside point P such that PA=10cm and /_APB=60o. Find the length of chord AB

From the point P(4,-4) tangents PA and PB are drawn to the circle x^(2)+y^(2)-6x+2y+5=0 whose centre is C then Length of AB

In the given figure, from the point P two tangents PA and PB are drawn to a circle with centre O and radius 5cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord AB is 5cm, then what is the value of (in degrees) of angleCOD ?

AB is a chord of circle with centre O. At B, a tangent PB is drawn such that its length is 24 cm. The distance of P from the centre is 26 cm. If the chord AB is 16 cm, find its distance from the centre.

FIITJEE-MATHEMATICS -OBJECTIVE
  1. Let f (x) = sin x - ax and g (x) - sin x - bx, where 0 lt a,b, lt 1 Su...

    Text Solution

    |

  2. If sin ^(-1)((1 - x ^(2))/(1 + x ^(2)))+ cos ^(-1) ((2x )/(1 +x ^(2)))...

    Text Solution

    |

  3. From a point P outside a circle with centre at C, tangents PA and PB a...

    Text Solution

    |

  4. the equation of the radical axis of the two circles 7x^2+7y^2-7x+14y+...

    Text Solution

    |

  5. Point on the curve y ^(2) = 4 (x -10) which is nearest to the line x ...

    Text Solution

    |

  6. If (t,0) is point on diameter of circle x ^(2) + y ^(2) =4, then the e...

    Text Solution

    |

  7. The locus of mid-point of family of chords lamda x + y - 5 =0 (paramet...

    Text Solution

    |

  8. If the tangents at two points (1,2) and (3,6) on a parabola intersect ...

    Text Solution

    |

  9. In triangle ABC, angle C = 120^(@). If h be the harmonic mean of the l...

    Text Solution

    |

  10. sin ((1)/(5) cos ^(-1) x)=1 has

    Text Solution

    |

  11. The circle C has radius 1 and touches the line L and P. The point X li...

    Text Solution

    |

  12. Let E be the ellipse (x^2)/9+(y^2)/4=1 and C be the circle x^2+y^2=9 ....

    Text Solution

    |

  13. An ellipse has the points (1, -1) and (2,-1) as its foci and x + y = 5...

    Text Solution

    |

  14. Let K = 1 ^(@), then 2 sin 2K + 6 sin 6K + ….+ 180 sin 180 k is equal...

    Text Solution

    |

  15. The maximum area of a traingle whose sides a,b,c satify 0 le a le 1,1 ...

    Text Solution

    |

  16. The minimum distance between the circle x^2 +y^2=9 and the curve 2x^2...

    Text Solution

    |

  17. The medians AA' and BB' of triangle ABC intersect at right angle, If B...

    Text Solution

    |

  18. If y = lamda x -3, y = mu x + , y = x +4 are three nomals drawn from a...

    Text Solution

    |

  19. Let P(a sec theta , b tan theta ) and Q(a sec phi , b tan phi) where ...

    Text Solution

    |

  20. If (sqrt2 cos x + sqrt2 sin x + sqrt7) m =1 holds then

    Text Solution

    |