cotθ = __________?
a) cosθ/sinθ
b) sinθ/cosθ
c) 1/secθ
d) tanθ/secθ
Factors of x2 + 2x – 24 are:
a) x + 4, x – 6
b) x – 4, x + 6
c) x + 3, x – 8
d) x + 8, x – 3
Explanation: x2 + 2x – 24
=> x2 + 6x - 4x – 24
=> x(x + 6) -4(x + 6) => (x – 4) (x + 6)
If F(x) = 4x + 1 and g(x) = 2x2 + 5x, find the value of f(g(x)):
a) 8x2 + 20x + 1
b) 8x3 + 20x
c) 4x2 + 20x
d) 0
Explanation: Putting the value of g(x) in f(x) we get
f(g(x)) = 4(2x2 + 5x) + 1 = 8x2 + 20x + 1
In x3 + 3x2y3 + y4 – 1, the degree of polynomial is:
a) 2
b) 5
c) 4
d) 11
d/dx(sech(x)) = ________?
a) –tanh(x)sech(x)
b) tanh(x)
c) tanh(x)sech(x)
d) sech(x)
4px = y2 is the general equation for:
a) Circle
b) Parabola
c) Hyperbola
d) Ellipse