Home
Class 12
MATHS
If two circles (x-1)^(2)+(y-3)^(2)=r^(2)...

If two circles `(x-1)^(2)+(y-3)^(2)=r^(2)` and `x^(2)+y^(2)-8x+2y+8=0` intersect in two distinct points , then

A

`2 lt r lt 8`

B

`r lt 2`

C

`r =2`

D

`r gt 2 `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If the two circles (x+1)^(2)+(y-3)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 intersect in two distinct point,then (A)r>2(B)2

If the two circles (x-2)^(2)+(y+3)^(2) =lambda^(2) and x^(2)+y^(2) -4x +4y-1=0 intersect in two distinct points then :

The number of integral values of r for which the circle (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect at two distinct points is ____

The two circles x^(2)+y^(2)=r^(2) and x^(2)+y^(2)-10x+16=0 intersect at two distinct points.Then

Consider the two circles (x-1)^(2) + (y-3)^(2) = r^(2) and x^(2) + y^(2) - 8x + 2yy + 8 = 0 What is the distance between the centres of the two circles ?