Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be a line which is normal to the curve y = 2x 2 + x + 2 at a point P on the curve. If the point Q(6, 4) lies on the line 
and O is origin, then the area of the triangle OPQ is equal to_____.
Text Solution
Verified by ExpertsThe correct answer is:
13
(13)
y = 2x 2 + x + 2
Let P be (h, k), then normal at P is
This passes through Q (6,4)
(4h + l)(4-k) + 6-h = 0
Also k = 2h 2 +h + 2
(4h + l)(4-2h 2 -h-2) + 6 + h = 0
4h 3 -3h 2 +3h-8 = 0
h = l,k = 5
Now area of 
OPQ will be= 
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