Q1.
(a) 0 (b) 1 (c) 2 (d) 3

Q2.
(a) 1 (b) 0 (c) -1/2 (d) -1

Q3.
(a) 1 (b) 2 (c) 3 (d) 4

Q4.
(a) 6 (b) 7 (c) 8 (d) 9

Q5. (i) Modulus function is continuous.
(ii) Identity function is continuous.
(iii) Constant function is continuous.
(iv) Polynomial function is continuous.

(a) i and ii (b) i and iii (c) i,ii and iii (d) all four

Q6. The side of an equilateral triangle is increasing at the rate of 4 cm/s . At what rate is its area increasing, if the side of the triangle is 10 cm ?
(a) 10 (b) 20 (c) 20√3 (d) 10√3

Q7. The volume of a sphere is increasing at the rate of 8cm³/s. Find the rate at which its surface area is increasing when the radius of the sphere is 12 cm.
(a) 4/3 cm²/s (b) 6 cm²/s (c) 2/3 cm²/s (d) 2 cm³/s

Q8. Find Differentrate the function w.r.t.x.
f(x) = cos^-1(sin x)
(a) 1 (b) 0 (c) 2 (d) -1

Q9. A stone is dropped into a quiet lake and waves move in circles at a speed of 8 cm per second. How fast is the enclosed area increasing when the radius of the circular waves is 10 cm ?
(a) 160π cm²/s (b) 120 cm²/s (c) 100 cm²/s (d) 80 cm²/s

Q10. The radius of an air bubble is increasing at the rate of 2cm/s. At what rate is the volume of the bubble increasing when the radius is 2 cm ?
(a) 32 π (b) 16 π (c) 8 π (d) 4 π