Home
Class 12
MATHS
Let the latus ractum of the parabola ...

Let the latus ractum of the parabola `y^(2) = 4x` be the comon chord to the circles `C_(1)` and `C_(2)` each of them having radius `2 sqrt(5)` . Then , the distance the centre of the circles `C_(1)` and `C_(2)` is :

A

12

B

8

C

`4sqrt(5)`

D

`8sqrt(5)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

Let the line L : sqrt(2)x y =alpha pass through the point of the intersection P (in the first quadrant) of the circle x^2 y^2 = 3 and the parabola x^2 = 2y . Let the line L touch two circles C_1 and C_2 of equal radius 2 sqrt 3 . If the centres Q_1 and Q_2 of the circles C_1 and C_2 lie on the y-axis, then the square of the area of the triangle PQ_1Q_2 is equal to ___________.

Consider circles C_(1) and C_(2) touching both the axes and passing through (4, 4), then the x - intercept of the common chord of the circles is

Let PQ be the focal chord of the parabola y^(2)=4x . If the centre of the circle having PQ as its diameter lies on the line y=(4)/(sqrt5) , then the radius (in units) is equal to

Let C_(1) be the circle of radius r > 0 with centre at (0,0) and let C_(2) be the circle of radius r with centre at (r,0) .The length of the arc of the circle C_(1) that lies inside the circle C_(2) ,is

Let PQ be a focal chord of the parabola y^(2)=4x . If the centre of a circle having PQ as its diameter lies on the line sqrt5y+4=0 , then length of the chord PQ , is

A circle C touches the x-axis and the circle x ^(2) + (y-1) ^(2) =1 externally, then locus of the centre of the circle C is given by

Transverse common tangents are drawn from O to the two circles C_(1),C_(2) with 4,2 respectively.Then the ratio of the areas of triangles formed by the tangents drawn from O to the circles C_(1) and C_(2) and chord of contacts of O w.r.t the circles C_(1) and C_(2) respectively is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. Let R(1) and R(2) be two relation defined as follows : R(1) = ...

    Text Solution

    |

  2. Suppose f(x) is a polynomial of degree four , having critical poin...

    Text Solution

    |

  3. Let the latus ractum of the parabola y^(2) = 4x be the comon cho...

    Text Solution

    |

  4. underset(x to a)(Lim) ((a+2x)^((1)/(3)) - (3x)^((1)/(3)))/((3a+x)^((1)...

    Text Solution

    |

  5. If x^(3) dy + xy dx = x^(2) dy + 2y dx , y (2) = e and x gt 1, t...

    Text Solution

    |

  6. The probabilty that a randomly chosen 5 - digit number is made fo...

    Text Solution

    |

  7. Let a,b, c in R be such that a^(2) + b^(2) + c^(2) = 1 . If a cos ...

    Text Solution

    |

  8. Let p,q r be three statements such that the truth value of (p ^^ q)...

    Text Solution

    |

  9. The set of all real values of lambda for which the quadratic equ...

    Text Solution

    |

  10. Let A be a 3 xx 3 matrix such that adj A = [{:(,2,-1,1),(,-1,0,2),(,1...

    Text Solution

    |

  11. If the value of the integral int(0)^(1//2) (x^(2))/((1-x^(2))^(3//...

    Text Solution

    |

  12. Let e(1) and e(2) be the ecentricities of the ellispe (x^(2))/(25...

    Text Solution

    |

  13. If the surface area of a cube is increasing at rate of 3.6 cm^(2...

    Text Solution

    |

  14. If z(1),z(2) are complex number such that Re(z(1) ) = |z(1) - 1| , R...

    Text Solution

    |

  15. If a Delta ABC has vertices A ( - 1,7) , B (-7,1) and C(5,-5) then ...

    Text Solution

    |

  16. The plane which bisects the line joining the points (4, -2, 3) and...

    Text Solution

    |

  17. Let x(i) (1 le I le 10) be ten observation of a random variable X...

    Text Solution

    |

  18. If the terms independent of x in the expansion of (3/2 x^2 - (1)/(3x) ...

    Text Solution

    |

  19. If the sum of the series 20 + 19 (3)/(5) + 19 (1)/(5) + 18 (4)/(5) + ...

    Text Solution

    |

  20. If int sin^(-1) ( sqrt( (x)/(1 + x) ) )dx = A(x) tan^(-1) (sqrtx) + B...

    Text Solution

    |