Home
Class 12
MATHS
If M(1) and M(2) are the feet of the per...

If `M_(1)` and `M_(2)` are the feet of the perpendiculars from the foci `S_(1)` and `S_(2)` of the ellipse `(x^(2))/(9)+(y^(2))/(16)=1` on the tangent at any point P on the ellipse, then `(S_(1) M_(1)) (S_(2) M_(2))=`

A

16

B

9

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

The product of the perpendiculars from the foci on any tangent to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 is

The product of the perpendiculars from the foci of the ellipse (x^(2))/(16)+(y^(2))/(4)=1 onto any tangent to the ellipse is

The eccentricity of the ellipse (x^(2))/(36)+ (y^(2))/(16)=1 is

The product of the perpendiculars from the foci on any tengent to the ellipse x^2/a^2 + y^2/b^2 = 1 is

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

The eccentricity to the ellipse (x^(2))/(36)+(y^(2))/(16)=1 is

Find the foci and eccentricity of ellipse (x^(2))/(16) + (y^(2))/(9) = 1

The locus of the point of intersection of the perpendicular tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is

The tangents at the ends of the latus rectum L S_(1) L^(prime) of the ellipse (x^(2))/(9)+(y^(2))/(4)=1 meet at

Find the foci of the ellipse x^2/25+y^2/16=1

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The point (4,-3) with respect to the ellipse 4 x^(2)+5 y^(2)=1

    Text Solution

    |

  2. Length of the axes of the conic 9 x^(2)+4 y^(2)-6 x+4y+1=0 are

    Text Solution

    |

  3. If M(1) and M(2) are the feet of the perpendiculars from the foci S(1)...

    Text Solution

    |

  4. The angle between the pair of tangents drawn from the point (1,2) to t...

    Text Solution

    |

  5. The equation x^(2)+3 y^(2)-9 x+2 y+1=0 represents

    Text Solution

    |

  6. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

    Text Solution

    |

  7. The line x+y=a will be a tangent to the ellipse (x^(2))/(9)+(y^(2))/(1...

    Text Solution

    |

  8. Equation of the ellipse with eccentricity (1)/(2) and foci at (pm1,0) ...

    Text Solution

    |

  9. The equation (x^(2))/(2-lambda)+(y^(2))/(lambda-5)-1=0 represents an e...

    Text Solution

    |

  10. The number of values oif c such that the line y=4x+c touches the curve...

    Text Solution

    |

  11. The eccentric angle of the point (2,sqrt(3)) lying on (x^(2))/(16)+(y^...

    Text Solution

    |

  12. If the focii of (x^(2))/(16)+(y^(2))/(4)=1 and (x^(2))/(a^(2))-(y^(2...

    Text Solution

    |

  13. If the latus-rectum of the ellipse is half the minor axis, then its ec...

    Text Solution

    |

  14. If C is the centre and L and L' are the ends of the latus-rectum of th...

    Text Solution

    |

  15. The equation of auxiliary circle of the hyperbola (x^(2))/(4)-(y^(2))/...

    Text Solution

    |

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

    Text Solution

    |

  17. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  18. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

    Text Solution

    |

  19. Let P(x(1), y(1)) and Q(x(2), y(2)), y(1) lt 0, y(2) lt 0 be the end p...

    Text Solution

    |

  20. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

    Text Solution

    |