Home
Class 12
MATHS
Let P(6,3) be a point on the hyperbola (...

Let `P(6,3)` be a point on the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`. If the normal at the point `P` intersect the `x` -axis at (9,0) then the eccentricity of the hyperbola is

A

`sqrt(5 / 2)`

B

`sqrt(3 / 2)`

C

`sqrt(2)`

D

`sqrt(3)`.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

Similar Questions

Explore conceptually related problems

Any point on the hyperbola ((x+1)^(2))/(16)-((y-2)^(2))/(4)=1 is of the form

Eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

Find the eccentricity of the hyperbola : x^2-3y^2-2x=8.

Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where theta+varphi=(pi)/(2) be two points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If (h, k) is the point of intersection of the normals at P and Q , then k=

The eccentricity of the hyperbola (x^(2))/(16)+(y^(2))/(25)=1 is...

The eccentricity of the hyperbola 3 x^(2)-4 y^(2)=-12 is

The eccentricity of the hyperbola 4x^(2)-9y^(2)-8x=32 is

The asymptote of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 form with any tangent to the hyperbola a triangle whose area is a^2 tanlambda in magnitude, then its eccentricity is

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The equation of a hyperbola whose asymtotes are 3xpm5y=0 and vertices ...

    Text Solution

    |

  2. If e1 and e2 are the eccentricities of a hyperbola and its conjugate t...

    Text Solution

    |

  3. The distance between the directrices of the hyperbola x=8sectheta,y=8t...

    Text Solution

    |

  4. If x = 9 is the chord of contact of the hyperbola x^2-y^2=9 , then the...

    Text Solution

    |

  5. If e(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1...

    Text Solution

    |

  6. A hyperbola having the transversal axis of length 2sintheta is confoca...

    Text Solution

    |

  7. For the hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1 , which of the f...

    Text Solution

    |

  8. An ellipse intersects the hyperbola 2 x^(2)-2 y^(2)=1 orthogonally. Th...

    Text Solution

    |

  9. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

    Text Solution

    |

  10. The circle x^(2)+y^(2)-8 x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 i...

    Text Solution

    |

  11. The line 3 x+4 y+5=0 is a tangent to the hyperbola x^(2)-4 y^(2)=5 at

    Text Solution

    |

  12. Let P(6,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

    Text Solution

    |

  13. If e and e^(prime) be eccentricity of two conics S=0 and S^(prime)=0 a...

    Text Solution

    |

  14. If the line y=2 x+lambda be a tangent to the hyperbola 36 x^(2)-25 y^(...

    Text Solution

    |

  15. The eccentricity of the hyperbola can never be equal to

    Text Solution

    |

  16. The equation of a tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2))...

    Text Solution

    |

  17. The value for m for which the line y=m x+(25)/(sqrt(3)) is a normal to...

    Text Solution

    |

  18. The value of m for which the line y=m x+2 becomes a tangent to the hyp...

    Text Solution

    |

  19. If t is a parameter, then x=a(t+(1)/(t)), y=b(t-(1)/(t)) represents

    Text Solution

    |

  20. The product of the lengths of perpendiculars drawn from any point on t...

    Text Solution

    |