Question

x = 4 meets parabola y2 = 4x at A & B. Perpendiculars from A & B meet on y-axis, meet y-axis D & C
respectively. Find area of quadrilateral ABCD. A​

Answer 1

$Above \: attachment \:shows \:that ,y^{2} = 4x \\parabola \: intersects \: x = 4 \: line \: at \: A(4,-4) \\and \: B(4,4) . \: A, B \: meet \: Y-axis \:at \: C(0,4)\\and \: D( 0,-4)$

$Area \:of \: ABCD \: Quadrilateral \\= AB \times DA \\= 8 \times 4 \\= 32 \: square \:units$

Therefore.,

$\red {Area \:of \: ABCD \: Quadrilateral} \green {= 32 \: square \:units}$

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