Processing math: 100%




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21.

If sin y = x sin(a+y), then dydx is equal to


A) sinasin(a+y)

B) sin2(a+y)sina

C) sin(a+y)

D) None of these



22.

The equation y2+3=2(2x+y) represents a parabola with the vertex at


A) (1/2,1) and axis parallel to y-axis

B) (1,1/2) and axis parallel to x-axis

C) (1/2,1) and focus at (3/2,1)

D) (1,1/2) and focus at (3/2,1)



23.

The solution of sin x = 32 is


A) x=nπ+(1)n4π3,nϵZ

B) x = n\pi+ (-1)^{n}\frac{2\pi}{3}, n \epsilon Z

C) x=nπ+(1)n3π3,nϵZ

D) None of these



24.

 If a, b, c are in A. P, then the value of |x+1x+2x+ax+2x+3x+bx+3x+4x+c| is?


A) 3

B) -3

C) 0

D) Noneof these



25.

The radius of a right circular cylinder increases at the rate of 0.1 cm/min, and the height decreases at the rate of 0.2 cm/min. The rate of change of the volume of the cylinder, in cm3/min, when the radius is 2 cm and the height is 3 cm is


A) 2π

B) -8π5

C) 3π5

D) 2π5



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