Home
Class 12
MATHS
C is the centre of the ellipse x^(2)/16+...

C is the centre of the ellipse `x^(2)/16+y^(2)/9=1` and A and B are two points on the ellipse such that
`/_ACB=90^@`, then `1/(CA)^(2)+1/((CB)^(2))=`

A

(a) `7/12`

B

(b) `12/7`

C

(c) `25/144`

D

(d) `144/25`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 3|14 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

Find the area bounded by the ellipse x^(2)/16+y^(2)/9=1

The latus rectum of the ellipse 16x^2+y^2=16 is:

Area bounded by the ellipse : x^2/16 + y^2/9 = 1 is :

Find the length of latus rectum of the ellipse. x^2/16+y^2/9=1 .

the centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 , is

Find the length of latus rectum of the ellipse x^(2)/25+y^(2)/16=1 .

Find the eccentricity of the ellipse x^(2)/(a^(2))+y^(2)/b^(2)=1 when a=5 and b=3.

ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
  1. Find the derivative of (2tanx - 7secx)

    Text Solution

    |

  2. Find the derivative of (5sinx - 6cosx + 7)

    Text Solution

    |

  3. C is the centre of the ellipse x^(2)/16+y^(2)/9=1 and A and B are two ...

    Text Solution

    |

  4. Let (alpha,beta) be a point from which two perpendicular tangents can ...

    Text Solution

    |

  5. If a=[t^(2)-3t+4] and b=[3+5t], where [.] donates the greatest integer...

    Text Solution

    |

  6. If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  7. Find the perimeter of the parallelogram whose adjacent sides are 3 and...

    Text Solution

    |

  8. Write the equation of tangent to the ellipse (x^2)/(25)+(y^2)/(16)=1 a...

    Text Solution

    |

  9. Write the parametric form of equation of tangents drawn from any point...

    Text Solution

    |

  10. the equation of the chord of contact of the pair of tangents drawn to ...

    Text Solution

    |

  11. x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...

    Text Solution

    |

  12. Find the derivative of x^(2)/2 + x + 1

    Text Solution

    |

  13. Find the derivative of secx + cosecx

    Text Solution

    |

  14. Find the derivative of cos(x - pi/8)

    Text Solution

    |

  15. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

    Text Solution

    |

  16. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 fr...

    Text Solution

    |

  17. The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...

    Text Solution

    |

  18. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

    Text Solution

    |

  19. A circle has the same center as an ellipse and passes through the foci...

    Text Solution

    |

  20. The area of the rectangle formed by the perpendiculars from the centre...

    Text Solution

    |