CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Q252 Marksparametric_derivatives
CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Question 25 (Continuity And Differentiability)
For x=sin t−cos t and y=sin t cos t, find dy/dx at t=π/4.
✅ Step-by-Step Solution
Final Answer: 0.
- Differentiate x and y with respect to t, obtaining cos t+sin t and cos²t−sin²t respectively.
- At π/4 the numerator is zero and the denominator is √2.
- Their quotient is 0.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Differentiate x and y with respect to t, obtaining cos t+sin t and cos²t−sin²t respectively.
- [1 mark] At π/4 the numerator is zero and the denominator is √2.
- [0.5 marks] Their quotient is 0.
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