Home
Class 12
MATHS
The common tangents to the circle x^2 + ...

The common tangents to the circle `x^2 + y^2 =2` and the parabola `y^2 = 8x` touch the circle at `P,Q` andthe parabola at `R,S`. Then area of quadrilateral `PQRS` is

A

3

B

6

C

9

D

15

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MOTION|Exercise EXERCISE - III|25 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

Similar Questions

Explore conceptually related problems

Two common tangents to the circle x^(2) + y^(2) = (a^(2))/(2) and the parabola y^(2) = 4ax are

Equation of the common tangent of a circle x^2+y^2=50 and the parabola y^2=40x can be

The common tangent to the circle x^(2)+y^(2)=a^(2)//2 and the parabola y^(2)=4ax intersect at the focus of the parabola

Two common tangents to the circle x^(2)+y^(2)=a^(2) and parabola y^(2)=4a sqrt(2)x are

Area common to the circle x^(2)+y^(2)=64 and the parabola y^(2)=4x is

Equation of the common tangent to the circle x^(2)+y^(2)=50 and the parabola y^(2)=40x can be

The area common to the circle x^(2)+y^(2)=64 and the parabola y^(2)=12x is equal to

MOTION-PARABOLA-EXERCISE - IV
  1. Match the following. Normals are drawn at points P Q and R lying on th...

    Text Solution

    |

  2. Statement-1: The curve y=(-x^(2))/2+x+1 s symmetric with respect to th...

    Text Solution

    |

  3. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  4. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  5. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  6. The tangent and normal at P(t), for all real positive t, to the parabo...

    Text Solution

    |

  7. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

    Text Solution

    |

  8. Consider the parabola y^(2) = 8x. Let Delta(1) be the area of the tria...

    Text Solution

    |

  9. Let (x, y) be any point on the parabola y^(2) = 4x. Let P be the point...

    Text Solution

    |

  10. Let L be a normal to the parabola y^(2) = 4x. If L passes through the ...

    Text Solution

    |

  11. Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the ...

    Text Solution

    |

  12. Let PQ be a focal chord of the parabola y^(2) = 4ax. The tangents to t...

    Text Solution

    |

  13. line L:y=mx+3 meets y–axis at E(0, 3) and the are of the parabola y^(2...

    Text Solution

    |

  14. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

    Text Solution

    |

  15. Let a, r, s, t be non-zero real numbers. Let P(at^2, 2at), Q, R(ar^2, ...

    Text Solution

    |

  16. If st = 1, then the tangent at P and the normal at S to the parabola m...

    Text Solution

    |

  17. Let P and Q be distinct points on the parabola y^(2) = 2x such that a ...

    Text Solution

    |

  18. The circle C(1) : x^(2)+y6(2)=3, with cenre at O, intersects the parab...

    Text Solution

    |

  19. Let P be the point on the parabola y^(2) = 4x which is at the shortest...

    Text Solution

    |

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

    Text Solution

    |