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Let a line y = mx ( m gt 0) intersect t...

Let a line `y = mx ( m gt 0)` intersect the parabola, `y^2 = 4x` 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 `(Delta OPQ)=8` sq. units, then m is equal to ___ .

Text Solution

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The correct Answer is:
1
`DeltaOPQ=8`
`1/2||{:(0,0,1),(t^2,2t,1),(-t^2,0,1):}||=8`
`t=2(because t gt 0)`
`therefore m=1`
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