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show that the line X + Y equal to 8 intersect the parabola y square equal to 4 x at two points P and Q find the coordinates of the point equation of the chord PQ and its length is
X+Y=8X=8-Y--------------(1)Y^2=4XY^2=4(8-Y)Y^2+4Y-32=0ON FINDING ROOTS, WE GET, Y=-8,+4SUBSTITUTING IN (1),IF Y=-8, X=16IF Y=+4, X=4HENCE, P=(16,-8)Q=(4,4)PQ=√[(16-4)^2+(-8-4)^2]PQ=√(144+144)PQ=12√2 SQ.UNITS
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