CUET · MATHS · PYQ PAPER 2023
Match List - I with List - II.
| LIST-I (Equation of curves) | LIST-II (Slope of tangent at \(x=2\)) |
| (A) \(y=x^3-x\) | (I) 8 |
| (B) \(y=(x-2)^2\) | (II) \(frac{2}{3}\) |
| (C) \(y=2 x^2+3\) | (III) \(11\) |
| (D) \(y=\sqrt{4 x+1}-7\) | (IV) \(0\) |
Choose the correct answer from the options given below :
- A \((A)-(I I),(B)-(I),(C)-(I V),(D)-(I I I)\)
- B \((A)-(I),(B)-(I I),(C)-(I V),(D)-(I I I)\)
- C \((A)-(I I I),(B)-(I V),(C)-(I),(D)-(I I)\)
- D \((A)-(I I I),(B)-(I V),(C)-(I I),(D)-(I)\)
Answer & Solution
Correct Answer
(C) \((A)-(I I I),(B)-(I V),(C)-(I),(D)-(I I)\)
Step-by-step Solution
Detailed explanation
(A) \( \frac{dy}{dx} = 3x^2-1 \) \( \left.\frac{dy}{dx}\right|_{x=2} = 3(2)^2-1 = 11 \) (B) \( \frac{dy}{dx} = 2(x-2) \) \( \left.\frac{dy}{dx}\right|_{x=2} = 2(2-2) = 0 \) (C) \( \frac{dy}{dx} = 4x \) \( \left.\frac{dy}{dx}\right|_{x=2} = 4(2) = 8 \) (D)…
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