Question

The points P(1, -2) and Q(7, 1) lie on the circumference of a circle.
Show that the centre of the circle lies on the line 4x + 2 y = 15.​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Points P(1,-2) and Q(7,1) lie on the circumference of the circle

For finding the centre of the circle, we need to Find the coordinate of midpoint of PQ

For x = 1+7/2 For y = -2+1/2

x = 4, y = -1/2

Mid-point of PQ = (4,-1/2)

Putting this value in the given equation 4x+2y=15

4(4)+2(-1/2)=15

16-1 = 15

15 = 15

LHS = RHS

HENCE PROVED

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