Home
Class 12
MATHS
Centre of a circle passing through point...

Centre of a circle passing through point (0,1) and touching the curve `y=x^2` at `(2,4)` is

A

`((-53)/(10) , (16)/(5))`

B

`((6)/(5),(53)/(10))`

C

`((3)/(10), (16)/(5))`

D

`((-16)/(5) , (53)/(10))`

Text Solution

Verified by Experts

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

The centre of the circle passing through the point (0,1) and touching the curve y at (2,4) is (1983,1M)162751016535101653(710(d) None of these

The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle x^(2)+y^(2)=9 , is

Centre of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2 is

The radius of the circle passing through the point (8,-3) and touching the curve x^(2)+4y^(2)=25 at (3,2)

Statement-1: The centre of the circle passing through the points (0, 0), (1, 0) and touching the circle C : x^(2)+y^(2)=9 lies inside the circle. Statement-2: If a circle C_(1) passes through the centre of the circle C_(2) and also touches the circle, the radius of the circle C_(2) is twice the radius of circle C_(1)

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. For a suitabily chosen real constanat a let a fuction , f: R ~[~...

    Text Solution

    |

  2. If the constant term in the binomial expansion of (sqrt(x) - (k)/(...

    Text Solution

    |

  3. Centre of a circle passing through point (0,1) and touching the curve ...

    Text Solution

    |

  4. Let z = x + iy be a non - zero complex number such that z^(2) = I ...

    Text Solution

    |

  5. Consider the statement : For an interger n if n^(3) - 1 is even, ...

    Text Solution

    |

  6. The probabilites fo three events A, B and C are given by P(A) = 0.6...

    Text Solution

    |

  7. Suppose that a function f : R to R satisfies f(x + y) = f(x) f(y) ...

    Text Solution

    |

  8. The sum of distinct value of lambda for which the system of equati...

    Text Solution

    |

  9. If vec(x) and vec(y) be two non - zero vectors such that |vec(x) ...

    Text Solution

    |

  10. Consider the date on x taking the values 0,2,4,8,………., 2^(n) with ...

    Text Solution

    |

  11. The number of word (with or without meaning ) that can be formed ...

    Text Solution

    |

  12. int(pi/6)^(pi/3) tan^3xsin^2 3x(2sec^2x sin^2 3x+3tanx.sin6x)dx

    Text Solution

    |

  13. Let uuu(i=1)^(50)X(i)=uuu(i=1)^(n)Y(i)=T, where each X(i) contains 10 ...

    Text Solution

    |

  14. If alpha,beta are roots of x^2-x+2lambda=0 and alpha,gamma are roots o...

    Text Solution

    |

  15. Contrapositive of the statement : 'If a function f is differentiable...

    Text Solution

    |

  16. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

    Text Solution

    |

  17. Suppose the vectors x(1), x(2) and x(3) are the solutions of the syste...

    Text Solution

    |

  18. Two persons A and B play a game of throwing a pair of dice until one o...

    Text Solution

    |

  19. The area (in sq. units) of the largest rectangle ABCD whose vertices A...

    Text Solution

    |

  20. The angle of elevation of a cloud C from a point P, 200 m above a stil...

    Text Solution

    |