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line L:y=mx+3 meets y–axis at E(0, 3) an...

line L:y=mx+3 meets y–axis at E(0, 3) and the are of the parabola `y^(2)=16x, 0leyle6` at the point `F(x_(0),y_(0))`. The tangent to the parabola at `F(x_(0),y_(0))` intersects the y-axis at `G(0,y_(1))`. The slope m of the L is chosen such that the area of the triangle EFG has a local maximum.
Match List I with List II and select the correct answer using the code given below the lists :

A

`{:(P, Q, R, S),(4, 1, 2, 3):}`

B

`{:(P, Q, R, S),(3, 4, 1, 2):}`

C

`{:(P, Q, R, S),(1, 3, 2, 4):}`

D

`{:(P, Q, R, S),(1, 3, 4, 2):}`

Text Solution

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The correct Answer is:
A
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