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

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

A

`sqrt(5/2)`

B

`sqrt(3/2)`

C

`sqrt2`

D

`sqrt3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 8

    KVPY PREVIOUS YEAR|Exercise EXERCISE|20 Videos
  • QUESTION PAPER 2013

    KVPY PREVIOUS YEAR|Exercise PART-II ( MATHEMATICS)|10 Videos

Similar Questions

Explore conceptually related problems

Let P(4,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If the normal at P intersects the x-axis at (16,0), then the eccentricity of the hyperbola is

Write the eccentricity of the hyperbola 9x^(2)-16y^(2)=144

Find the eccentricity of hyperbola x^(2)-9y^(2)=1 .

The line 2x+y=1 is tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1. If this line passes through the point of intersection of the nearest directrix and the x-axis,then the eccentricity of the hyperbola is

KVPY PREVIOUS YEAR-MOCK TEST 9-EXERCISE
  1. Let n be an odd integer . If sinntheta=sum(r=0)^nbrsin^rtheta for all...

    Text Solution

    |

  2. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  3. Let P(6,3) be a point on the hyperbola parabola x^2/a^2-y^2/b^2=1If t...

    Text Solution

    |

  4. Let P(x) be a polynomial of least degree whose graph has three points ...

    Text Solution

    |

  5. I f|z|=max{|z-1|,|z+1|}, then

    Text Solution

    |

  6. The number of ordered triplets (a, b, c) such that L.C.M.(a, b) = 1000...

    Text Solution

    |

  7. If m things are distributed among a men and b women. Then the probabil...

    Text Solution

    |

  8. Solve for x :4^x3^(x-1//2)=3^(x+1//2)-2^(2x-1) .

    Text Solution

    |

  9. The equation, 2x^2+ 3y^2-8x-18y+35= K represents

    Text Solution

    |

  10. If f be decreasing continuous function satisfying f(x + y) = f(x) + f(...

    Text Solution

    |

  11. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

    Text Solution

    |

  12. Let veca,vecb, and vecc be three non zero vector such that no two of t...

    Text Solution

    |

  13. If a chord, which is not a tangent, of the parabola y^(2)=16x has the ...

    Text Solution

    |

  14. If b^2>4ac, then a(x^2 +4x+4)^2+b(x^2 +4x +4)+c=0 has distinct real ...

    Text Solution

    |

  15. lim(n->oo)prod(r=3)^n(r^3-8)/(r^3+8)

    Text Solution

    |

  16. If x + 1/x=1 and p=x^100+1/x^1000 and q be the digit at unit place i...

    Text Solution

    |

  17. A conical vessel is to be prepared out of a circular sheet of metal of...

    Text Solution

    |

  18. Maximum number area of rectangle whose two sides are x=x(0),x=pi-x(0...

    Text Solution

    |

  19. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

    Text Solution

    |

  20. The equation of tangent to the curve y=int(x^2)^(x^3)(dt)/(1+t^2) at x...

    Text Solution

    |