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

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Aarya · Answer

X+Y=8 X=8-Y--------------(1) Y^2=4X Y^2=4(8-Y) Y^2+4Y-32=0 ON FINDING ROOTS, WE GET, Y=-8,+4 SUBSTITUTING IN (1), IF Y=-8, X=16 IF Y=+4, X=4 HENCE, 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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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

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

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