1.

Let AB be a chord of the parabola `x^(2) = 4y`. A circle drawn with AB as diameter passes through the vertex C of the parabola. If area of `DeltaABC = 20 sq`. units then the coordinates of A can beA. `(6,9)`B. `(-6,9)`C. `(-8,16)`D. `(8,16)`

Answer» Correct Answer - C::D
`A(2t_(1),t_(1).^(2))B(2t_(2),t_(2).^(2))`
`t_(1)t_(2) = - 4`
Area `|(2t_(1),t_(1).^(2),1),(2t_(2),t_(2).^(2),1),(0,0,1)|=20`
solving `t_(1)=pm4,pm1`


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