Home
Class 12
MATHS
The locus of the centre of the circle wh...

The locus of the centre of the circle which cuts the circle `x^2 + y^2 - 20x + 4 = 0` orthogonally and touches the line `x= 2` is

A

`y^(2)= 16x +4`

B

`x^(2) =16 y`

C

`x^(2) = 16 y+ 4`

D

` y ^(2) = 16x `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 12

    NTA MOCK TESTS|Exercise MATHEMETIC - SUBJECTIVE NUMERICAL|5 Videos

  • JEE MOCK TEST 14

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The loucs of the centre of the circle which cuts orthogonally the circle x^(2)+y^(2)-20x+4=0 and which touches x=2 is

The locus of the centre of a circle which cuts a given circle orthogonally and also touches a given straight line is (a) circle (c) parabola (b) line (d) ellipse

The locus of the centres of the circles which touch the circle x^(2)+y^(2)=1 externally also touch the y -axis and lie in the first quadrant,is

Find the locus of the centre of the circle touching the line x+2y=0 andx =2y

The locus of the centre of the circle which touches externally the circle x^(2)+y^(2)-6x-6y+14=0 and also touches the x-axis is given by the equation

The locus of the centres of the circles, which touch the circle, x^(2)+y^(2)=1 externally, also touch the Y-axis and lie in the first quadrant, is

NTA MOCK TESTS-JEE MOCK TEST 13-MATHEMATICS
  1. The mean of five numbers is 0 and their variance is 2 .If three of tho...

    Text Solution

    |

  2. The first integral term in the expansion of (sqrt3+2^(1/3))^9, is

    Text Solution

    |

  3. If cosalpha+cosbeta=a ,sinalpha+sinbeta=b and alpha-beta=2theta, then ...

    Text Solution

    |

  4. If the image of the point ( 1,-2,3) in the plane 2x + 3y -z =7 is the ...

    Text Solution

    |

  5. The value of int(dx)/(x(x^(n)+1)) is equal to

    Text Solution

    |

  6. If f is a function defined as f ( x) = x^(2)-x+5, f: ((1)/(2) , oo) r...

    Text Solution

    |

  7. Let alpha and beta be two roots of the equation x^(2) + 2x + 2 = 0. Th...

    Text Solution

    |

  8. The value of f (0), such that f( x) =( 1)/(x^(2)) ( 1 -cos( sin x )) c...

    Text Solution

    |

  9. The locus of the centre of the circle which cuts the circle x^2 + y^2 ...

    Text Solution

    |

  10. The parabolas y^(2)=4x and x^(2)=4y divide the square region bounded b...

    Text Solution

    |

  11. The value of lim(xto oo)(2x^(1//2)+3x^(1//3)+4x^(1//4)+....nx^(1//n)...

    Text Solution

    |

  12. If f(x)=x^3+4x^2+ax+5 is a monotonically decreasing function of x in t...

    Text Solution

    |

  13. If the angles of elevation of the top of tower from three collinear po...

    Text Solution

    |

  14. A unit vector in the xy-plane that makes an angle of pi/4 with the vec...

    Text Solution

    |

  15. If x=(1-t^(2))/(1+t^(2)) and y=(2t)/(1+t^(2)), then (dy)/(dx) is equal...

    Text Solution

    |

  16. Let A be a matrix of order 3 xx 3 such that det ( A)= 2 , B = 2A^(-1)...

    Text Solution

    |

  17. Given f(x) where ={(x|x|,"for" xle -1),([x+1]+[1-x],"for"-1lt x lt...

    Text Solution

    |

  18. The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The per...

    Text Solution

    |

  19. The minimum number of times a fair coin needs to be tossed, so that th...

    Text Solution

    |

  20. Consider the equation x^(2) + 2x - n = 0 where n in N and n in [5, 100...

    Text Solution

    |