A circle with center at the origin and radius equal to a meets the axis of x at AandBP˙(α) and Q(β) are two points on the circle so that α−β=2y , where γ is a constant. Find the locus of the point of intersection of AP and BQ˙

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A circle with center at the origin and radius equal to a meets

Question

A circle with center at the origin and radius equal to a meets the axis of $x$ at $A a n d B \dot{P} (α)$ and $Q (β)$ are two points on the circle so that $α - β = 2 y$ , where $γ$ is a constant. Find the locus of the point of intersection of $A P$ and $B Q ˙$

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A circle with center at the origin and radius equal to a meets the axis of

x

A a n d B \dot{P} (α)

and

Q (β)

are two points on the circle so that

α - β = 2 y

, where

γ

is a constant. Find the locus of the point of intersection of

A P

and

B Q ˙

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Question Text

A circle with center at the origin and radius equal to a meets the axis of

x

A a n d B \dot{P} (α)

and

Q (β)

are two points on the circle so that

α - β = 2 y

, where

γ

is a constant. Find the locus of the point of intersection of

A P

and

B Q ˙