Home
Class 12
MATHS
A variable circle is drawn to touch the ...

A variable circle is drawn to touch the line `3x – 4y = 10` and also the circle `x^2 + y^2 = 1` externally then the locus of its centre is -

A

straight line

B

circle

C

pair of real, distinct straight lines

D

parabola

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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 -

If a circle br drawn so as always to touch a given straight line and also a given circle externally then prove that the locus of its centre is a parabola.

apie circles are drawn touching the line x+5=0 and the circle x^(2)+y^(2)=4 externally.Show that locus of centre of this circle is a partrix and the focus,axis, vertex,directrix and extremities of latus rectum of this parabola.

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=4 orthogonally, then the locus of its centre is

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=4 orthogonally,then the locus of its centre 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

Centre of a variable circle lies in first or fourth quadrant.This circle touches y-axis and also the circle x^(2)+y^(2)-4x=0 externally.Show that locus of centre of this variably.Show parabola.Find the direcrix and focus of this parabola.

Line 3x + 4y = 25 touches the circle x^(2) + y^(2) = 25 at the point