Question

4x
y
10.
Find the equation of the circle inscribed inside the triangle formed by the line
+
3 = 1a
= 1 and
3
the co-ordinate axes.
(a) Find the equation of the circle with its centre at (32) and which touches the line X​

Answer 1

Equation of circle touching both the axis is given by,

(x−h)

2

+(y−h)

2

=h

2

Given this also touches the given line,

⇒

∣

∣

∣

∣

∣

∣

3

2

+4

2

3h+4h−6

∣

∣

∣

∣

∣

∣

=h

⇒(7h−6)=±5h⇒h=3,1/2

But h=3 is not acceptable.

Hence required circle is, 4(x

2

+y

2

−x−y)+1=0

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