A particle moves along the curve y = x2 + 2x. Then, the point on the curve such that x and y coordinates of the particle change with same rate is
(1, 3)
(- 1, - 1)
The function f: is defined by f(x)=3- x. Observe the following statements
of it
I. f is one-one
II. f is onto
III. f is a decreasing function
Out of these, true statement are
Only I, II
Only II, III
Only I, III
I, II, III
A point is moving on y = 4 - 2x2. The x-coordinate of the point is decreasing at the rate of 5 units/second. Then, the rate at which y coordinate of the point is changing when the point is at (1, 2) is
5 units/s
10 units/s
15 units/s
20 units/s
D.
20 units/s