Question

find the area of triangle formed with coordinate axis and tangent drawn at x1,y1 on the circle x2+y2=a2
​

Answer 1

Step-by-step explanation:

Given (x

1

y

1

) point on curve

i.e. x

1

y

1

=a

2

let tangentbe (y−y

1

)=m(x−x

1

)

m=

dx

dy

⇒ differentiation of curve at (x

1

y

1

) give slope of line.

dx

d(xy)

=a

2

x

dx

dy

+y.1=0⇒

dx

dy

=

x

−y

=

x

1

−y

1

tanget equation =(y−y

1

)=

x

−y

=

x

1

−y

1

At=y=0⇒x=2x

1

x=0⇒y=2y

1

Area =

2

1

×2x

1

×2y

1

=2x

1

y

1

=2a

2