CircleHard

Question

A circle is drawn touching the x-axis and centre at the point which is the reflection of (a, b) in the line y - x = 0. The equation of the circle is -

Options

A.x2 + y2 - 2bx - 2ay + a2 = 0
B.x2 + y2 - 2bx - 2ay + b2 = 0
C.x2 + y2 - 2ax - 2by + b2 = 0
D.x2 + y2 - 2ax - 2by + a2 = 0

Solution

    
Reflection of point (a, b)
on the line
y = x will be (b, a)
(x - b)2 + (y - a)2 = a2
x2 + y2 - 2bx - 2ay + b2 = 0.

Create a free account to view solution

View Solution Free
Topic: Circle·Practice all Circle questions

More Circle Questions

The length of the shortest path that be gives at the point (2,5), touches the x-axis and then ends at a point on the cir...A circle S passes through the point (0, 1) and is orthogonal to the circles (x - 1)2 + y2 = 16 and x2 + y2 = 1. Then...The centres of the circles x2 + y2 _ 6x _ 8y _ 7 = 0 and x2 + y2 _ 4x _ 10y _ 3 = 0 are the ends of the diameter of the ...A particle P starts from the point z0 = 1 + 2i, where i = √-1 . It moves first horizontally away from origin by 5 ...The equation of common tangent of hyperbola 9x2 - 9y2 = 8 and the parabola y2 = 32x is/ are-...