Home
Class 12
MATHS
Consider the circle x^2 + y^2 = 9 and th...

Consider the circle `x^2 + y^2 = 9` and the parabola `y^2 = 8x`. They intersect at P and Q in first and fourth quadrant respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents at the parabola at P and Q intersect the x-axis at S.

A

4

B

3

C

`8/3`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 7 : SUBJECTIVE TYPE QUESTIONS|10 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

Consider the circle x^(2)+y^(2)=1 and thhe parabola y=ax^(2)-b(agt0) . This circle and parabola intersect at

The circle x^2 + y^2 - 2x - 6y+2=0 intersects the parabola y^2 = 8x orthogonally at the point P . The equation of the tangent to the parabola at P can be

Two circles intersects in points P and Q. A secant passing through P intersects the circles in A and B respectively. Tangents to the circles at A and B intersect at T. Prove that the A,Q,B and T lie on a circle.

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

The tangent and normal at the point p(18, 12) of the parabola y^(2)=8x intersects the x-axis at the point A and B respectively. The equation of the circle through P, A and B is given by

The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are

If a tangent to the parabola y^(2) = 4ax meets the x-axis in T and the tangent at the Vertex A in P and the rectangle TAPQ is completed then locus of Q is

The ordinates of points P and Q on the parabola y^2=12x are in the ration 1:2 . Find the locus of the point of intersection of the normals to the parabola at P and Q.

The distance of two points P and Q on the parabola y^(2) = 4ax from the focus S are 3 and 12 respectively. The distance of the point of intersection of the tangents at P and Q from the focus S is

A tangent is drawn to the parabola y^(2)=8x at P(2, 4) to intersect the x-axis at Q, from which another tangent is drawn to the parabola to touch it at R. If the normal at R intersects the parabola again at S, then the coordinates of S are

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. In a triangle the sum of two sides is x and the product of the same is...

    Text Solution

    |

  2. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

    Text Solution

    |

  5. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  6. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  7. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  8. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  9. A straight line through the vertex P of a triangle P Q R intersects th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

    Text Solution

    |

  14. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  15. In Delta ABC, which one is true among the following ?

    Text Solution

    |

  16. Let a vertical tower A B have its end A on the level ground. Let C be ...

    Text Solution

    |

  17. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  18. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  19. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |

  20. If in a DeltaABC, the altitudes from the vertices A, B, C on opposite ...

    Text Solution

    |