If B and C are two fixed points and A is a point away from the line BC. What would be the locus of the point A such that ∠BAC = 90° .

Ellipse

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Parabola

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Circle

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Hyperbola

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Solution

The correct option is C Circle
The angle in a semi-circle is always 90° .
Consider a circle with BC as a diameter. If a point A lies on the circumference of the circle, then the angle made by the diamter and the point is right angle.

So, here the locus of A for ∠BAC = 90° is circle with BC as diameter and midpoint of BC as the centre.
Therefore, option c is correct.

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