Home
Class 11
MATHS
If the ine ax + by = 2 is a normal to th...

If the ine ax + by = 2 is a normal to the circle ` x^(2) + y^(2) - 4 x - 4y = 0 ` and a tangent to the circle ` x^(2) + y^(2) = 1`, then

A

`a = (1)/(2), b = (1)/(2)`

B

`a = ( 1 + sqrt(7))/(2), b = (1 - sqrt(7))/(2)`

C

`a = (1)/(4), b = (3)/(4)`

D

`a = 1 , b = sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The centre and radius of the circle x^(2)+y^(2)-4x+2y=0 are

The length of the tangent drawn from any point on the circle x^(2) + y^(2) + 2f y + lambda = 0 to the circle x^(2) + y^(2) + 2f y + mu = 0 , where mu gt lambda gt 0 , is

Consider the circle x^2+y^2-4x-6y-3 = 0 Find the radius of the circle

If (4,0) is a point on the circle x^(2)+ax+y^(2)=0 , then the centre of the circle is at

The slope of the straigt line joining the centre of the circle x ^(2) + y ^(2) - 8x + 2y =0 and rthe vertex of the parabola y = x ^(2) - 4x + 10 is