Home
Class 12
MATHS
Let P be the point of intersection of th...

Let P be the point of intersection of the common tangents to the parabola `y^(2)=12x` and the hyperbola `8x^(2)-y^(2)=8`.If S ad S' denote the foci of the hyperbola where S lies on the positive x-axis then P divides SS' in a ratio

A

`5:4`

B

`14:13`

C

`2:1`

D

`13:11`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 45

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos
  • NTA TPC JEE MAIN TEST 47

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

Similar Questions

Explore conceptually related problems

Let P be the point of intersections of the common tangents to the parabola y^(2)=12x and the hyperbola 8x^(2) -y^(2)=8. If S and S' denotes the foci of the hyperbola where S lies on the positive X-axis then P divides SS' in a ratio.

The slopes of the common tangents to the parabola y^(2)=24x and the hyperbola 5x^(2)-y^(2)=5 are

The equation of the common tangent to the parabola y^(2) = 8x and the hyperbola 3x^(2) – y^(2) = 3 is

The equation of common tangent to the parabola y^(2)=8x and hyperbola 3x^(2)-y^(2)=3 is

Find the equations of common tangents to the hyperbola 3x^(2)-4y^(2)=12 and the parabola y^(2)=4x

The absolute value of slope of common tangents to parabola y^(2) = 8x and hyperbola 3x^(2) -y^(2) =3 is

in what ratio,the point of intersection of the common tangents to hyperbola (x^(2))/(1)-(y^(2))/(8)=1 and parabola y^(2)=12x, divides the focii of the given hyperbola?

The equation of the common tangent with positive slope to the parabola y^(2)=8sqrt(3)x and hyperbola 4x^(2)-y^(2)=4 is

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 46-MATHEMATICS
  1. Let A={1,2,3,4} . The number of different unordered pairs (B,C) that c...

    Text Solution

    |

  2. The equation of the circle whose radius is 5 and which touches the cir...

    Text Solution

    |

  3. Let P be the point of intersection of the common tangents to the parab...

    Text Solution

    |

  4. The equation of a common tangent to y^(2)=4x and the curve x^(2)+4y^(2...

    Text Solution

    |

  5. If the expression 2x^(2)+mxy+3y^(2)5y-2 can be expressed as the produc...

    Text Solution

    |

  6. A plane bisects the line segment joining the points (1,2,3) and (3,4,5...

    Text Solution

    |

  7. If the volume of parallelepiped formed by the vectors hati+lamdahatj+h...

    Text Solution

    |

  8. Consider point P with ordinate t lying on the curve (x^(2))/4-y^(2)=1...

    Text Solution

    |

  9. Which of the following functions is differentiable at x=0?

    Text Solution

    |

  10. (dy)/(dx)+y=2e^(2x) then y is

    Text Solution

    |

  11. int log 2xdx is

    Text Solution

    |

  12. If 2 sec 2a=tanb +cot b then one of the values of (alpha+beta)=

    Text Solution

    |

  13. Number of real root (s) of equation x^(2) and x=1 betwwen -(3pi)/2 an...

    Text Solution

    |

  14. The number of solution of the equation 2tan^(-1)x+cot^(-1)x=(7pi)/6 is

    Text Solution

    |

  15. Let A be the matrix of order 3xx3 such that det(A)=2,B=2A^(-1) and C=(...

    Text Solution

    |

  16. Suppose f(x)={(x^(3)-x^(2)+10x-5,xle1),(-2x+log(2)(b^(2)-2),xgt1):} ...

    Text Solution

    |

  17. If f(x)=(log(cotx)tanx) .(log(tanx)cotx)^(-1) +tan^(-1)(x/(sqrt(4-...

    Text Solution

    |

  18. The value of int(0)^(pi//2)(cos3x+1)/(2cosx-1)dx=……..

    Text Solution

    |

  19. The mean and variance of 7 observations are 8 and 16 respectively. If ...

    Text Solution

    |

  20. Let C(1) and C(2) be two curves given by C(1):y=log(e)(x+e) C(2):x=l...

    Text Solution

    |