Home
Class 12
MATHS
Find the radius of the circle (x-5)(x-1)...

Find the radius of the circle `(x-5)(x-1)+(y-7)(y-4)=0` .

Text Solution

Verified by Experts

The correct Answer is:
`5//2`

The extremities of diameter are (5,7) and (1,4). The radius is half of the distance between them, i.e.,
`(1)/(2) sqrt((5-1)^(2)+(7-4)^(2))=(5)/(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the centre and the radius of the circle x^(2)+y^(2)+8x+10y-8=0 .

Find the centre and radius of the circle 3x^(2)+(a+1)y^(2)+6x-9y+a+4=0 .

Find the centre and radius of the circle 5x^(2)+(2a+1)y^(2)+10x-20y+(a+3)=0 .

Find the centre and radius of the circle 3x ^(2) + (a +1) y ^(2) + 6x - 9 y + a + 4 =0.

Consider the circle x^2 + y^2 + 8x + 10y - 8 = 0 (i) Find its radius of the circle x^2 + y^2 + 8x + 10y - 8 = 0 (ii) Find the equation of the circle with centre at C and passing through (1,2).

Find the centre and radius of the circle 2x^2 + 2y^2 - x = 0 .

Find the centre and radius of circles. 2x^(2)+2y^(2)-x=0 .

Find the centre and radius of circles. x^(2)+y^(2)-4x-8y-45=0 .

Find centre and radius of the following circles. x ^(2) + y ^(2) + 6x - 4y + 4 =0

Find the equation of radical axis of the circles x^(2)+y^(2)-3x+5y-7=0 and 2x^(2)+2y^(2)-4x+8y-13=0 .