Question

(x + 7)^2+ (y - 3)^2 = 36 is the equation
of a circle. Which of the following
points lies outside the circle?
a) (-7,5)
b) (-6,4)
c)(-7,0)
d)(0,3)

Answer 1

Answer:

Option D is correct.

Step-by-step explanation:

We will use the concept of power of point w.r.t to circle.

If point lies inside circle, Sp<0

If point lies on circle, Sp=0

If point lies outside of circle Sp>0

Where Sp is the value of the equation of the circle on taking values of coordinates x and y.

Equation of circle is:-

(x + 7)^2+ (y - 3)^2 - 36 = 0

On putting (-7,5) , the value of Sp<0.

On putting (-6,4), the value of Sp<0.

On putting (-7,0), the value of Sp<0.

On putting (0,3), the value of Sp>0.

So (-7,5) ;  (-6,4) ; (-7,0) ; all lie inside the circle.