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If the coordinates of the ends of a focal chord of the parabola `y^(2)=4ax` are `(x_(1),y_(1)) "and" (x_(1),y_(2))` , then prove that `x_(1)x_(2)=a^(2),y_(1)y_(2)=4a^(2)`.

Text Solution

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The correct Answer is:
`y_(1)y_(2)=2at_(1)2at_(1)=4a^(2)(t_(2)-t_(1))=-4a^(2)`
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