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 x^2/3 + y^2/3 = 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 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 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 + 5y^1/3=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=ce^my
b) x=ce^my
c) x=my+c
d) x=c

32) The particular integral of (D² + 7D + 12)y = e^2x is

a) 30e^2x
b) (1/22)e^2x
c) 22e^2x
d) (1/30)e^2x

Check out Part 5 here.