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. The radius of the circumcircle of the triangle PRS is-

A

`1:sqrt2`

B

`1:2`

C

`1:4`

D

`1:8`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 7 : SUBJECTIVE TYPE QUESTIONS|18 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • SEQUENCES AND SERIES

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

Similar Questions

Explore conceptually related problems

Two tangents to the parabola y^2=4ax make supplementary angles with the x-axis. Then the locus of their point of intersection is

The area of the circle x^2+y^2 = 8x , lying above x-axis and interior to the parabola y^2= 4x is

The circle x^2+y^2-8x = 0 and hyperbola x^2 /9 - y^2 /4=1 intersect at the points A and B. Then the equation of the circle with AB as its diameter is

The common tangents to the circle x^2=y^2=2 and the parabola y^(2)=8x touch the circle at the points P,Q and the parabola at the points R,S. Then, the area (in sq units) of the quadrilateral PQRS is

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

Points A, B and C lie on the parabola y^2= 4ax . The tangents to the parabola at A, B and C, taken in pair, intersect at points P, Q and R. Determine the ratio of the areas of the triangles ABC and PQR.

The area of the region bounded by the parabola (y-2)^(2) = x- 1 , the tangent to the parabola at the point (2,3) and the x-axis is

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

The tangents to the parabola y^2=4ax at P(at_1^2,2at_1) , and Q(at_2^2,2at_2) , intersect at R. Prove that the area of the triangle PQR is 1/2a^2(t_1-t_2)^3

The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two distinct points. Then

ARIHANT MATHS-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 , b and c denote the lengths of th...

    Text Solution

    |

  3. Solution of differential equation 2xy dy / dx = x^2 + 3y^2 is .

    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

    |