Question

Show that the straight line x /a+y/b= 2; find the coordinates of the point of contact. ​

Answer 1

Answer:

ANSWER

If a line touches the circle, then distance between the centre and line is equal to the radius.

For the circle with centre C(0,0) and r=c

Distance of centre from the line is

d=

∣

∣

∣

∣

∣

∣

2

−c

2

∣

∣

∣

∣

∣

∣

d=∣c∣=r

c=c

is true for all values of c

So, the line touches the circle

y=x+c

2

.....(1)

Putting y in the equation of the circle

x

2

+(x+c

2

)

2

=c

2

x=

2

−c

,y=

2

c

are the point of contact.