Consider the curve y = e 2 x 2 + 2 x , then match List-I with List-II and select the correct answer using the code given below the list. List - I List - II (P) Length of tangent at x = 0 is (1) 5 (Q

Question

Consider the curve y = e 2 x 2 + 2 x , then match List-I with List-II and select the correct answer using the code given below the list. List - I List - II (P) Length of tangent at x = 0 is (1) 5 ​ (Q) Length of normal at x = 0 is (2) 2 1 ​ (R) Length of subtangent at x = 0 is (3) 2 5 ​ ​ (S) Length of subnormal at x = 0 is (4) 2

TestHub · Accepted Answer

The lengths of the tangent, normal, subtangent, and subnormal are given respectively by: ∣ y cosec θ ∣ , ∣ y sec θ ∣ , ∣ y cot θ ∣ , ∣ y tan θ ∣ an s

List - I	List - II
(P) Length of tangent at $x = 0$ is	(1) $5$
(Q) Length of normal at $x = 0$ is	(2) $\frac{1}{2}$
(R) Length of subtangent at $x = 0$ is	(3) $\frac{5}{2}$
(S) Length of subnormal at $x = 0$ is	(4) 2

Mathematics - Application of Derivative Question with Solution | TestHub

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JEE Main + Advanced (1 year 12th class)

JEE Advanced (2028)