the length of diameter of a circle X square + Y square - 6 x minus 8y equals to zero
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Answer: 10
Step-by-step explanation:
Let (h.k) be the centre and r be the radius of the circle
The equation of the circle is
x² + y² - 6x + 8y = 0
⇒ x² - 6x + y² + 8y = 0
⇒ x² - 6x + 9 + y² + 8y + 16 - 9 - 16 = 0
⇒ (x - 3)² + (y + 4)² - 25 = 0
⇒ (x - 3)² + (y + 4)² = 5²
From the general equation of a circle,
the centre is (3, -4) and the radius is 5 (units).
So, the diameter is 10 units.
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