JEE Main 2016 Mathematics question
A circle passes through and touches the axis at . Which one of the following equations can represent a diameter of this circle?
Answer: (1)
Solution
Because the circle touches the -axis at , the radius drawn to that point is horizontal, so the centre has the form and the radius is . Imposing that lies on the circle:
(-2- + (4- = ⇒ 4+4h++4 = ⇒ 4h = -8,
so and th
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