Question

Write the equation of largest circle with centre on line 2x+y=3 , lying between lines x-y=1,x-y=-3

Answer 1

Answer:

2x−y+1=0 is the Equation of tangent

equation of normal

y−y

1

=m(x−x

1

)

y−5=

2

−1

(x−2)

y−5=

2

−x

+1

2y−10+x−1=0

2y+x−11=0

(equation of normal )

⇒x+y=9

2y+x=11

− − −

____________

−y=−2

y=2

so x=7

center =(7,2)

r=

(7−2)

2

+(2−5)

2

=

25+9

r=

34

Equation of circle

(x−7)

2

+(y−2)

2

=34

Answered By

waniiqra i hope u can understand