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  1. Choice (b) is correct. Let y = (sin x + cos x)² = sin² x + cos² x + 2 sin x cos x = 1 + 2 sin x cos x dy/dx = d/dx (1 +2sin x cos x) = d/dx (1) + 2 d/dx (sin x cos x) ⇒ dy/dx = 0 + 2 ( sin x (d/dx) cos x + cos x(d/dx) sin x) = 2 {sin x (- sin x) + cos x (cos x)} ⇒dy/dx = 2(cos² x - sin² x) = 2 cos 2Read more

    Choice (b) is correct.
    Let y = (sin x + cos x)² = sin² x + cos² x + 2 sin x cos x = 1 + 2 sin x cos x
    dy/dx = d/dx (1 +2sin x cos x) = d/dx (1) + 2 d/dx (sin x cos x)
    ⇒ dy/dx = 0 + 2 ( sin x (d/dx) cos x + cos x(d/dx) sin x) = 2 {sin x (- sin x) + cos x (cos x)}
    ⇒dy/dx = 2(cos² x – sin² x) = 2 cos 2x
    This question related to Chapter 12 maths Class 11th NCERT. From the Chapter 12: Limits and Derivatives. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-12

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  2. Choice (c) is correct. y = sin a cos x ⇒dy/dx = d/dx (sin a cos x) = sin a (d/dx)(cos x) = sin a (- sin x) = - sin a sin x  This question related to Chapter 12 maths Class 11th NCERT. From the Chapter 12: Limits and Derivatives. Give answer according to your understanding. For more please visit hereRead more

    Choice (c) is correct.
    y = sin a cos x ⇒dy/dx = d/dx (sin a cos x) = sin a (d/dx)(cos x) = sin a (- sin x) = – sin a sin x 
    This question related to Chapter 12 maths Class 11th NCERT. From the Chapter 12: Limits and Derivatives. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-12

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    • 3
  3. Choice (a) is correct.  Comparison of co-efficients of variation determines the variability of two distributions (series).  This question related to Chapter 13 maths Class 11th NCERT. From the Chapter 13: Statistics. Give answer according to your understanding. For more please visit here: https://wwRead more

    Choice (a) is correct. 
    Comparison of co-efficients of variation determines the variability of two distributions (series). 
    This question related to Chapter 13 maths Class 11th NCERT. From the Chapter 13: Statistics. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-13

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    • 4
  4. If none of the children next to the child is taller, the child will say "1". This is because the child is the tallest among the three in the sequence. Thus, the child will indicate they are the tallest by saying "1". Click here for more: https://www.tiwariacademy.com/ncert-solutions-class-6-maths-gaRead more

    If none of the children next to the child is taller, the child will say “1”. This is because the child is the tallest among the three in the sequence. Thus, the child will indicate they are the tallest by saying “1”.

    Click here for more:
    https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/

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  5. Indefinitely in both ways. A line has no endpoints and can be extended infinitely in both directions. This is the fundamental property of a line in geometry, continuing infinitely without a stop. Click here for more: https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-Read more

    Indefinitely in both ways.
    A line has no endpoints and can be extended infinitely in both directions. This is the fundamental property of a line in geometry, continuing infinitely without a stop.

    Click here for more:
    https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-2/

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    • 4