JEE Main Maths · Application of Derivatives

Tangents to Implicit Curves

Tangents to Implicit Curves (Application of Derivatives) was asked 2 times in 2 JEE Main shifts, 2020, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked: 2; in 2 shifts
Years: 2020
Usual format: Numerical value; Multi-step
Pattern: Gone quiet; repeats across shifts

How it is asked

Tangent to implicit curve parallel to given line
Slope from normal intercept

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Application of Derivatives. Topic: Tangents and Normals, 7 questions over 5 ideas.

All 2 questions

Newest first, each with its options and official answer.

8 Jan 2020, Shift 1 · Q74Let the normal at a point P on the curve $y^2-3x^2+y+10=0$ intersect the $y$ -axis at $\left(0,\frac{3}{2}\right)$ . If m is the slope of…MediumNumerical value
2 Sep 2020, Shift 1 · Q60If the tangent to the curve $y=x+\sin y$ at a point $(a, b)$ is parallel to the line joining $\left(0, \frac{3}{2}\right)$ and…MediumSingle correct