Home
Class 11
MATHS
If a chord P(theta) Q(phi) of an ellips...

If a chord ` P_(theta) Q_(phi)` of an ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1` subtands a right angle at the vertex A (a,0), then
` tan ((theta)/(2))* tan ((phi)/(2))= `

A

`(-a^(2))/(b^(2))`

B

`(-b^(2))/(a^(2))`

C

`(-b^(2))/(a)`

D

`-(a)/(b)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos
  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos
  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos
  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

If a chord PQ , joining P (theta) " Q and " (phi) , of an ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 , subtands a right angle at its centre , then tan theta * tan phi =

If the chord joining points P(alpha) and Q(beta) on the ellipse ((x^(2))/(a^(2)))+((y^(2))/(b^(2)))=1 subtends a right angle at the vertex A(a,0), then prove that tan((a)/(2))tan((beta)/(2))=-(b^(2))/(a^(2))

If P ( theta ) " and " Q (phi ) are two points on an ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 , such that chord PQ subtance a right angle at its centre 'C' , then (1)/(CP^(2)) + (1) /(CQ^(2)) =

If tan theta_(1)*tan theta_(2)=(a^(2))/(b^(2)) then the chord Joining two points theta_(1) and theta_(2) on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 will subtend a right angle at (A) focus (B) centre (C) end of the major axis (D) end of the major axis

If the eccentric angles of the ends of a focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(agtb) are theta_(1) and theta_(2) , then value of "tan"(theta_(1))/(2) "tan"(theta_(2))/(2) equals

If the chord through the points whose eccentric angles are theta and phi on the ellipse (x^(2))/(25)+(y^(2))/(9)=1 passes through a focus,then the value of tan((theta)/(2))tan((phi)/(2)) is (1)/(9)(b)-9(c)-(1)/(9) (d) 9

If (a sec theta;b tan theta) and (a sec phi;b tan phi) are the ends of the focal chord of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 then prove that tan((x)/(a))tan((phi)/(2))=(1-e)/(1+e)

The angle between ellipse (x^(2))/(4)+(y^(2))/(1)=1 and the circle x^(2)+y^(2)=2 is theta then tan theta=

If (a sec theta,b tan theta) and (a sec phi,b tan phi) be two coordinate of the ends of a focal chord passing through (ae,0) of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 then tan((theta)/(2))tan((phi)/(2)) equals to

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If a chord PQ , joining P (theta) " Q and " (phi) , of an ellipse (...

    Text Solution

    |

  2. If P ( theta ) " and " Q (phi ) are two points on an ellipse (x^(2...

    Text Solution

    |

  3. If a chord P(theta) Q(phi) of an ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

    Text Solution

    |

  4. If P (theta) is a point on the ellipse E (a gt b) , whose foci are...

    Text Solution

    |

  5. An ellipse , centred at the origin , has eccentricity 1/2 and one dire...

    Text Solution

    |

  6. If distance between foci of an ellipse equals its latus-rectrum , then...

    Text Solution

    |

  7. Find the sum of the focal distances of any point on the ellipse 9x^...

    Text Solution

    |

  8. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  9. The radius of the circle passing through the foci of (x^(2))/(16) + (y...

    Text Solution

    |

  10. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  11. For the ellipse 25x^(2) + 45y^(2) = 9,

    Text Solution

    |

  12. S and T are foci of an ellipse and B is an end of the minor a...

    Text Solution

    |

  13. Any point whose x and y co-ordinates satisfy the equations (1 - (x/...

    Text Solution

    |

  14. Given A -= (0,-1) " and " B = (0,1) . If P (x,y) is a point satisfyi...

    Text Solution

    |

  15. For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two ...

    Text Solution

    |

  16. If the equation (x^(2))/(16 -K) + (y^(2))/(5-K) = 1 represents an ell...

    Text Solution

    |

  17. Perimeter of a triangle formed by any point on the ellipse (x^(2))/...

    Text Solution

    |

  18. If P is any point on the ellipse (x^(2))/(25) + (y^(2))/(9) = 1 whose...

    Text Solution

    |

  19. If a^(2) + b^(2) = 25 and a focus of the ellipse (x^(2))/(a^(2) ...

    Text Solution

    |

  20. S and T are foci of an ellipse and B is an end of the minor a...

    Text Solution

    |