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CGP EDU Academic Team
Published on: August 13, 2026
A tangent is drawn to the curve x 2 + 2x – 4ky + 3 = 0 at a point whose abscissa is 3. This tangent is perpendicular to x + 3 = 2y. Find the area bounded by the curve, this tangent and ordinate x = – 1
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
( 
) sq. units.
Sol. x 2 + 2x – 4ky + 3 = 0
2x + 2 – 4k 
= 0
put x = 3, 
= – 2
6 + 2 + 8k = 0
k = – 1
y = – 
(x 2 + 2x + 3)
Tangent is 4x + 2y – 3 = 0
Area = 
= 
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