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NCERT Exemplar · Class 12 · Maths

Chapter 5: Continuity and Differentiability

Practice each question, then open the answer or worked solution.

Short Answer (S.A.)

53 questions
Q51Written answer

If x = 3sint – sin 3t, y = 3cost – cos 3t, find

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Worked solution

Given,

x = 3sint – sin 3t, y = 3cost – cos 3t

Now, differentiating both the parametric functions w.r.t t, we have

NCERT Exemplar Solutions Class 12 Mathematics Chapter 5 - 101

NCERT Exemplar Solutions Class 12 Mathematics Chapter 5 - 102

Q52Written answer

Differentiate x/sinx w.r.t sin x.

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Worked solution

NCERT Exemplar Solutions Class 12 Mathematics Chapter 5 - 103

NCERT Exemplar Solutions Class 12 Mathematics Chapter 5 - 104

Q53Written answer

Different w.r.t tan-1 x when x ≠ 0.

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Worked solution

NCERT Exemplar Solutions Class 12 Mathematics Chapter 5 - 105