JEE Main 2022 — Application Of Derivatives Question with Solution
From: JEE Main 2022 (Online) 27th July Morning Shift
Question
Let and be the number of points on the curve , where the tangents to the curve are parallel to -axis and -axis, respectively. Then the value of equals ___________.
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Show full solutionCorrect answer: 2
Step-by-step explanation
Here equation of curve is
...... (i)
On differentiating :
When tangents are parallel to x-axis then
.
For tangent perpendicular to x-axis
...... (ii)
From equation (i) and (ii) we get only one point.
.
.
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