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
Nonsense=Report
is 13 units. Find x, if P(x, 2x) is a point on the
circumference of the circle
Nonsense=Report
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Answer
x= -3 or 8.6
Solution
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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