# Maths - Objective Type Questions - +2- Collection 1- Part 4

Questions 25-32 of Collection 1, Objective Type Questions, +2 Mathematics.

25) The length of the arc of the curve x2/3 + y2/3 = 4 is

a) 48
b) 24
c) 12
d) 96

26) The curved surface area of a sphere of radius 5, intercepted between two parallel planes of distance 2 and 4 from the centre is

a) 20 * pi
b) 40 * pi
c) 10 * pi
d) 30 * pi

27) Volume of solid obtained by revolving the area of the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}=1$ about major and minor axes are in the ratio

a) b2:a2
b) a2:b2
c) a:b
d) b:a

28) The value of $\int_{-\Pi /4}^{\Pi /4}x^{3}sin^{2}x dx$ is

a) 0
b) 1
c) 1/2
d) -1/2

29) y = cx - c2 is the general solution of the differential equation

a) (y’)2 - xy + y = 0
b) y’ = 0
c) y = c
d) (y’)2 + xy’ + y = 0

30) The differential equation (dx/dy)2 + 5y1/3=x is

a) of order 2 and degree 1
b) of order 1 and degree 2
c) of order 1 and degree 6
d) of order 1 and degree 3

31) Solution of dx/dy+mx=0 is

a) x=cemy
b) x=cemy
c) x=my+c
d) x=c

32) The particular integral of (D2 + 7D + 12)y = e2x is

a) 30e2x
b) (1/22)e2x
c) 22e2x
d) (1/30)e2x

Check out Part 5 here.