Home
Class 12
MATHS
If the tangents drawn from a point on th...

If the tangents drawn from a point on the hyperbola `x^2-y^2=a^2-b^2` to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` make angle `alpha" and "beta` with the transverse axis of the hyperbola then

A

`alpha-beta= pm(pi)/(2)`

B

`alpha+beta= (pi)/(2)`

C

`alpha+beta= pi`

D

`alpha+beta=0`

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 the tangents drawn from a point on the hyperbola x^(2)-y^(2)=a^(2)-b^(2) to ellipse (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angle alpha and beta with the transverse axis of the hyperbola, then

Two tangents are drawn from a point on hyperbola x^(2)-y^(2)=5 to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 . If they make angle alpha and beta with x-axis, then

Angle between tangents drawn from any point on the circle x^2 +y^2 = (a + b)^2 , to the ellipse x^2/a+y^2/b=(a+b) is-

Tangents drawn from a point on the circle x^2+y^2=9 to the hyperbola x^2/25-y^2/16=1, then tangents are at angle

Tangents drawn from the point (c, d) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angles alpha and beta with the x-axis. If tan alpha tan beta=1 , then find the value of c^(2)-d^(2) .

If hyperbola (x^2)/(b^2)-(y^2)/(a^2)=1 passes through the focus of ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then find the eccentricity of hyperbola.

The length of the transverse axis of the hyperbola x^(2) -20y^(2) = 20 is

The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, ) and has the eccentricity 2. Then the transverse axis of the hyperbola has the length 1 (b) 3 (c) 2 (d) 4

Find the points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 such that the tangent at each point makes equal angles with the axes.

If the chords of contact of tangents from two points (-4,2) and (2,1) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 are at right angle, then find then find the eccentricity of the hyperbola.

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. The product of perpendicular drawn from any points on a hyperbola (x^2...

    Text Solution

    |

  2. The locus of the point of intersection of the tangents at the ends of ...

    Text Solution

    |

  3. If the curves (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 (agtb) and x^(2)-y(2)=...

    Text Solution

    |

  4. A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on th...

    Text Solution

    |

  5. Which of the following equations in parametric form can represent a hy...

    Text Solution

    |

  6. The distance of the origin from the normal drawn at the point (1,-1) o...

    Text Solution

    |

  7. Tangent is drawn at the point (-1,1) on the hyperbola 3x^2-4y^2+1=0. T...

    Text Solution

    |

  8. Let LL1 be a latusrectum of a hyperbola and S1 is the other focus. If ...

    Text Solution

    |

  9. If a latus rectum of an ellipse subtends a right angle at the centre o...

    Text Solution

    |

  10. I the latus rectum through one focus of a hyperbola subtends a right ...

    Text Solution

    |

  11. The transverse axis of the hyperbola 5x^2-4y^2-30x-8y+121=0 is

    Text Solution

    |

  12. If the pair of lines b^2x^2-a^2y^2=0 are inclined at an angle theta, t...

    Text Solution

    |

  13. If 2^a+2^(4-a) lt 17, then (x^2)/(a)+(y^2)/(b)=1 reperesents

    Text Solution

    |

  14. If the tangent at point P(h, k) on the hyperbola (x^(2))/(a^(2))-(y^(2...

    Text Solution

    |

  15. If the tangents drawn from a point on the hyperbola x^2-y^2=a^2-b^2 to...

    Text Solution

    |

  16. The locus of a point from which two tangent are drawn to x^2-y^2=a^2 w...

    Text Solution

    |

  17. Let a and b be bonzero real numbers. Then the equation (ax^(2)+by^(2)+...

    Text Solution

    |

  18. If e1 is the eccentricity of the ellipse x^2/16+y^2/25=1 and e2 is th...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. Let a1" and "b1 be intercepts made by the tangent at point P on xy=c^2...

    Text Solution

    |