Ncert exemplar problems class 12 maths| Application of derivatives|Chapter 6|Solutions|
Here we are discussing some ncert exemplar problems chapter 6. Questions related to derivatives as a rate measure based on exercise 6.1 of ncert.
Q. Find an angle θ, 0 to θ to pie/2, which increases twice as fast as its sine.
Q. A man, 2m tall, walks at the rate of 2 1/3m/s towards a street light which is 1 5/3 m above the ground. At what rate is the tip of his shadow moving? At what rate is the length of the shadow changing when he is1 3/3 m from the base of the light?
9. A swimming pool is to be drained for cleaning. If L represents the number of litres of water in the pool t seconds after the pool has been plugged off to drain and L = 200 (10 – t)2. How fast is the water running out at the end of 5
seconds? What is the average rate at which the water flows out during the
first 5 seconds?
10. The volume of a cube increases at a constant rate. Prove that the increase in its surface area varies inversely as the length of the side.
11. x and y are the sides of two squares such that y = x – x2. Find the rate of
change of the area of second square with respect to the area of first square.
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