A: y′=3x2−1, at x=2: 11 (II). B: y′=9x2−4, at x=0: −4 (IV). C: tangent slope =cos(π/3)=1/2, normal slope =−2 (I). D: tangent slope =−sin(π/6)=−1/2, normal slope =2 (III). Match: A-II, B-IV, C-I, D-III.
Match list I with list II | List - I | List - II | |---|---| | A. Slope of tangent to the curve y = x^3 - x at x = 2 | I. -2 | | B. Slope of tangent…
CUET UG 2022 — Mathematics Calculus
2022mcqmedium
Match list I with list II
| List - I | List - II |
|---|---|
| A. Slope of tangent to the curve y=x3−x at x=2 | I. −2 |
| B. Slope of tangent to the curve y=3x3−4x at x=0 | II. 11 |
| C. Slope of normal to the curve y=sinθ at θ=3π | III. 2 |
| D. Slope of normal to the curve y=cosθ at θ=6π | IV. −4 |
Choose the correct answer from the option given below :
Official previous-year question
Held on 23 Aug 2022 · Verified 13 Jul 2026.
Options
- A
A-II, B-IV, C-I, D-III
- B
A-II, B-III, C-I, D-IV
- C
A-I, B-IV, C-II, D-III
- D
A-I, B-III, C-II, D-IV
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