Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

8 of 139 · show all

1. Q8 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set J2026 Set B

   Find $\frac{dy}{dx}$ when $x=at^2,\ y=2at$.

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2. Q11 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set B2026 Set F2026 Set D2026 Set J2023 Set E

   If $x = a(1-\cos\theta)$, $y = a(\theta + \sin\theta)$, then $\frac{dy}{dx} =$

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3. Q33 2025

   If $x = 4t, y = \dfrac{4}{t}$ then $\dfrac{dy}{dx} =$

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4. Q41 2025

   If $x = 3\cos\theta - 2\cos^3\theta$, $y = 3\sin\theta - 2\sin^3\theta$ then find $\dfrac{dy}{dx}$.

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5. Q69 2024 Set D

   If $x = a\sec\theta,\ y = b\tan\theta$ then $\frac{dy}{dx} =$

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6. Q77 2024 Set J

   If $x=a\sec\theta,\ y=b\tan\theta$ then $\frac{dy}{dx}=$

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7. Q82 2023

   If $x = a\cos^2\theta$, $y = b\sin^2\theta$, then the value of $\dfrac{dy}{dx}$ is

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8. Q92 2023 Set E

   If $x=a\cos^2\theta,\ y=b\sin^2\theta$ then the value of $\frac{dy}{dx}$ is

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