Question

The centre of a circle is (2, 6) and its radius
is 13 units. Find x, if P(x, 2x) is a point on the
circumference of the circle

Answer 1

Answer:

x = -3 or   8.6

Step-by-step explanation:

Given the center O = (2, 6)

Radius = 13 units.

P  = (x, 2x) is a point on the circumference.

OP = radius

OP² = 13²

(x - 2)² + (2x - 6)² = 13²

=> x² + 4 - 4 x + 4 x² + 36 - 24 x = 169

=>  5 x² - 28 x - 129 = 0

x =  [28 ± √(28² + 4*5*129)]/10

  =  -3 or 8.6

Answer 2

Step-by-step explanation:

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