Home
Class 12
MATHS
Let P (4, 3) be a point on the hyperbola...

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

A

`(sqrt(5))/(2)`

B

2

C

`sqrt(2)`

D

`sqrt(3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

  • QUESTION PAPER 2021

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTION|75 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 eccentriclty of the hyperbola is

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

The eccentricity of the hyperbola x^2-y^2=4 is

If e is the eccentricity of the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 , then e =

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

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

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.

If e_1 is the eccentricity of the hyperbola (y^(2))/(b^(2)) - (x^(2))/(a^(2)) = 1 then e_(1) =

The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (0,-b) and the normal at P passes through the point (2asqrt(2),0) . Then the eccentricity of the hyperbola is

The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point ( x_(1),y_(1)) is-

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
  1. The general solution of the differential equation (1+e^((x)/(y)))dx + ...

    Text Solution

    |

  2. General solution of (x+y)^(2)(dy)/(dx) = a^(2), a ne 0 is (c is an arb...

    Text Solution

    |

  3. Let P (4, 3) be a point on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^...

    Text Solution

    |

  4. If the radius of a spherical balloon increases by 0.1%, then its volum...

    Text Solution

    |

  5. The three sides of a right-angled triangle are in G.P (geometric progr...

    Text Solution

    |

  6. If log(2)6 + (1)/(2x) = log(2)(2^((1)/(x)) + 8), then the values of x ...

    Text Solution

    |

  7. Let z be a complex number such that the principal value of argument, a...

    Text Solution

    |

  8. The general value of the real angle theta, which satisfies the equatio...

    Text Solution

    |

  9. Let a, b, c be real numbers such that a + b + c lt 0 and the quadratic...

    Text Solution

    |

  10. A candidate is required to answer 6 out of 12 questions which are divi...

    Text Solution

    |

  11. There are 7 greetings cards, each of a different colour and 7 envelope...

    Text Solution

    |

  12. 7^(2n) + 16n - 1(n in N) is divisible by

    Text Solution

    |

  13. The number of irrational terms in the expansion of (3^((1)/(8)) + 5^((...

    Text Solution

    |

  14. Let A be a square matrix of order 3 whose all entries are 1 and let I(...

    Text Solution

    |

  15. If A = ((5, 5x, x), (0, x, 5x), (0, 0, 5)) and |A^(2)| = 25, then |x| ...

    Text Solution

    |

  16. The system of equations lambda x + y + 3z = 0 3x + mu y -z = 0 5...

    Text Solution

    |

  17. Let f : X rarr Y and A, B are non-void subsets of Y, then (where the s...

    Text Solution

    |

  18. Let S, T, U be three non-void sets and f : S rarr T, g : T rarr U be s...

    Text Solution

    |

  19. The polar coordinate of a point P is (2, (pi)/(4)). The polar coordina...

    Text Solution

    |

  20. The length of conjugate axis of a hyperbola is greater than the length...

    Text Solution

    |