Home
Class 12
MATHS
If tan alpha tan beta=-(a^(2))/(b^(2), t...

If `tan alpha tan beta=-(a^(2))/(b^(2)`, then the chord joining two points alpha and beta 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 minor axis

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

If alpha-beta is constant prove that the chord joining the points alpha and beta on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 touches a fixed ellipse

If alpha+beta=3pi , then the chord joining the points alpha and beta for the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through which of the following points? Focus (b) Center One of the endpoints of the transverse exis. One of the endpoints of the conjugate exis.

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)dot

If tan (alpha-beta)=(sin 2beta)/(3-cos 2beta) , then

Area of the triangle formed by the tangents at the point on the ellipse x^2/a^2+y^2/b^2=1 whose eccentric angles are alpha,beta,gamma is

If the chord, joining two points whose eccentric angles are alpha and beta , cuts the major axis ofthe ellipse x^2/a^2 + y^2/b^2=1 at a distance c from the centre, then tan alpha//2.tan beta//2 is equal to

Find the condition that the chord of contact of tangents from the point (alpha, beta) to the circle x^2 + y^2 = a^2 should subtend a right angle at the centre. Hence find the locus of (alpha, beta) .

Find the condition that the chord of contact of tangents from the point (alpha, beta) to the circle x^2 + y^2 = a^2 should subtend a right angle at the centre. Hence find the locus of (alpha, beta) .

If tan alpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1) then alpha+beta equals

If tan alpha =m/(m+1) and tan beta =1/(2m+1) , then alpha+beta is equal to

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. Ifchord ofcontact ofthe tangents drawn from the point (alpha,beta)to t...

    Text Solution

    |

  2. 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

    |

  3. If tan alpha tan beta=-(a^(2))/(b^(2), then the chord joining two poin...

    Text Solution

    |

  4. If F1" and "F2 be the feet of perpendicular from the foci S1" and "S2 ...

    Text Solution

    |

  5. The area of the rectangle formed by the perpendicular from the center ...

    Text Solution

    |

  6. Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the norma...

    Text Solution

    |

  7. Let Sa n dS ' be two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . I...

    Text Solution

    |

  8. The locus of the point of intersection of perpendicular tangents to x^...

    Text Solution

    |

  9. Prove that the focus of id-points of the portion of the tamgents to th...

    Text Solution

    |

  10. Find the value of lambda for which the equation lambdax^2 + 4xy + y^2 ...

    Text Solution

    |

  11. Find the equation of the hyperbola whose : focus is (1,1) directrix is...

    Text Solution

    |

  12. If e and e' be the eccentricities of two conics S=0 and S'=0 and if e^...

    Text Solution

    |

  13. The vertices of a hyperbola are at (0, 0) and (10, 0) and one of its f...

    Text Solution

    |

  14. The equation (x^2)/(12-lambda)+(y^2)/(8-lambda)=1 represents

    Text Solution

    |

  15. The equation (x^2)/(1-k)-(y^2)/(1+k)=1, k gt 1 represents:-

    Text Solution

    |

  16. If e is the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

    Text Solution

    |

  17. For the hyperbola x^2/ cos^2 alpha - y^2 /sin^2 alpha = 1;(0 lt alphal...

    Text Solution

    |

  18. If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  19. The line y=x+2 touches the hyperbola 5x^2-9y^2=45 at the point

    Text Solution

    |

  20. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |