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0 votes
51.4k views
in Mathematics by (52.5k points)

Let a line y = mx (m > 0) intersect the parabola, y2 = x at a point P, other than the origin. Let the tangent to it at P meet the x-axis at the point Q. If area (ΔOPQ) = 4 sq. units, then m is equal to __________.

2 Answers

+1 vote
by (58.3k points)
selected by
 
Best answer

let p(t2 , t)

Tangent at P(t2 , t)

+1 vote
by (54.8k points)

ΔOPQ = 4

t = 2 ( ∵ t > 0)

∴ m = 1/2

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