Home
Class 12
MATHS
A circle is given by x^2 + (y-1) ^2 = 1,...

A circle is given by `x^2 + (y-1) ^2 = 1`, another circle C touches it externally and also the x-axis, then the locus of center is:

A

`{(x,y):x^(2)=4y}uu{(x,y):yle0}`

B

`{(x,y):x^(2)+(y-1)^(2)=4}uu{(x,y):yle0}`

C

`{(x,y):x^(2)=y}uu{(0,y):yle0}`

D

`{(x,y):x^(2)=4y}uu{(0,y):yle0}`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|37 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

A circle passes through A(2,1) and touches y -axis then the locus of its centre is

A circle passes through A(2,1) and touches y -axis then the locus of its centre is

Knowledge Check

  • A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line, then the locus of centre of the circle is :

    A
    ellipse
    B
    hyperbola
    C
    parabola
    D
    part of straight line

  • If two circles (x+4)^(2)+y^(2)=1 and (x-4)^(2)+y^(2)=9 are touched extermally by a circle, then locus of centre of variable circle is

    A
    `(x^(2))/(15)-(y^(2))/(1)=1`
    B
    `(x^(2))/(4)-(y^(2))/(12)=1`
    C
    `(x^(2))/(1)-(y^(2))/(15)=1`
    D
    `(x^(2))/(12)-(y^(2))/(4)=1`

  • The locus of the centres of circles which touches (y-1)^(2)+x^(2)=1 externally and also touches X-axis is

    A
    `{x^(2)=4y,yge0}uu{0,y),ylt}`
    B
    `x^(2)=y`
    C
    `y=4x^(2)`
    D
    `y^(2)=4x uu(0,y),yinR`

    • Similar Questions

    Explore conceptually related problems

    If C_(1): x^(2)+y^(2) =(3+2sqrt(2))^(2) be a circle. PA and PB are pair of tangents on C_(1) where P is any point on the director circle of C_(1) , then the radius of the smallest circle which touches C_(1) externally and also the two tangents PA and PB is

    Locus of centre of a circle which touches x^2+y^2-6x-6y+14=0 externally and also touches y-axis

    A variable circle is drawn to touch the line 3x4y=10 and also the circle x^(2)+y^(2)=1 externally then the locus of its centre is -

    Radius of smaller circle that touches the line y=x at (1,1) and also touches the x -axis is:

    The locus of centre of the circle which touches the circle x^(2)+(y-1)^(2)=1 externally and also touches x-axis is

    Home
    Profile