Home
Class 12
MATHS
If P(3 sec theta,2 tan theta) and Q(3 se...

If `P(3 sec theta,2 tan theta)` and `Q(3 sec phi , 2 tan phi)` where `theta+pi=(phi)/(2)` be two distainct points on the hyperbola then the ordinate of the point of intersection of the normals at p and Q is

A

`11/3`

B

`-11/3`

C

`13/2`

D

`-13/2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 10

    KVPY PREVIOUS YEAR|Exercise EXERCISE|26 Videos
  • MOCK TEST 3

    KVPY PREVIOUS YEAR|Exercise EXERCISE|27 Videos

Similar Questions

Explore conceptually related problems

Let P(a sec theta,b tan theta) and Q(a sec c phi,b tan phi) (where theta+phi=(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 is equal to (A) (a^(2)+b^(2))/(a)(B)-((a^(2)+b^(2))/(a))( C) (a^(2)+b^(2))/(b)(D)-((a^(2)+b^(2))/(b))

Let A(sec theta , 2 tan theta) and B(sec phi , 2 tan phi) , where theta+phi=pi//2 be two points on the hyperbola 2x^(2)-y^(2)=2 . If (alpha, beta) is the point of the intersection of the normals to the hyperbola at A and B, then (2beta)^(2) is equal to _________.

If tan theta=1/2 and tan phi=1/3, then tan(2 theta+phi)

If tan theta+tan phi=a and cot theta+cot phi=b then cot(theta+phi)=

KVPY PREVIOUS YEAR-MOCK TEST 2-EXERCISE
  1. Let f be a real valued function such that for any real x,f(lambda+x)=f...

    Text Solution

    |

  2. Let f(x) = [ n + p sin x], x in (0,pi), n in Z, p a prime number and [...

    Text Solution

    |

  3. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

    Text Solution

    |

  4. The number of all triplets (a1,a2,a3) such that a1 + a2 cos 2x + a3 si...

    Text Solution

    |

  5. Find the value of int(-1)^(3/2)|xsinpix|dx

    Text Solution

    |

  6. Three points P, Q and R are selected at random from the cirumference o...

    Text Solution

    |

  7. A quadratic polynomial maps from [-2, 3] onto [0, 3] and touches x-axi...

    Text Solution

    |

  8. if the product of n matrices [(1,1),(0,1)][(1,2),(0,1)][(1,3),(0,1)]…[...

    Text Solution

    |

  9. Universal set, U={x|x^(5)-6x^(4)+11x^(3)-6x^(2)=0} A={x|x^(2)-5x+...

    Text Solution

    |

  10. If P(3 sec theta,2 tan theta) and Q(3 sec phi , 2 tan phi) where theta...

    Text Solution

    |

  11. Let f(x) be defined by f(x) = x- [x], 0!=x in R, where [x] is the grea...

    Text Solution

    |

  12. Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at...

    Text Solution

    |

  13. The value of int0^1lim(n->oo)sum(k=0)^n(x^(k+2)2^k)/(k!)dx is:

    Text Solution

    |

  14. The probability that the graph of y=16x^2 +8(a +5)x-7a-5=0, is strictl...

    Text Solution

    |

  15. Find the number of point (x ,y) having integral coordinates satisfying...

    Text Solution

    |

  16. The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is 3 b. ...

    Text Solution

    |

  17. Let f(theta)=sintheta(sintheta+sin3theta).Then, f(theta)

    Text Solution

    |

  18. In what ratio does the x-axis divide the area of the region bounded by...

    Text Solution

    |

  19. For all complex numbers z1,z2 satisfying |z1|=12 and |z2-3-4i|=5 the m...

    Text Solution

    |

  20. If f(x+y)=f(x)-f(y)+2xy-1AAx,yinR. Also if f(x) is differentiable and ...

    Text Solution

    |