Q.1 (A)(iii) If x = 2at², y = 4at then dy/dx = ____. A. -1/2at² B. 1/2at³ C. 1/t D. 1/4at³

Answer: (c) 1/t dx/dt = 4at and dy/dt = 4a. Hence dy/dx = dy/dt/dx/dt = 4a/4at = 1/t.

If \(x = 2at^2\), \(y = 4at\) then \(\dfrac{dy}{dx} =\) ____.

Q.1 (A)(iii) If \(x = 2at^2\), \(y = 4at\) then \(\dfrac{dy}{dx} =\) ____.

A. \(-\dfrac{1}{2at^2}\)

B. \(\dfrac{1}{2at^3}\)

C. \(\dfrac{1}{t}\)

D. \(\dfrac{1}{4at^3}\)

Doubtly Asked 29 Oct 2026 Board exam · July 2024 hsc 12th Save WhatsApp Report

Best answer

Answer: (c) \(\dfrac{1}{t}\)

\(\dfrac{dx}{dt} = 4at\) and \(\dfrac{dy}{dt} = 4a\). Hence \(\dfrac{dy}{dx} = \dfrac{dy/dt}{dx/dt} = \dfrac{4a}{4at} = \dfrac{1}{t}\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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