The function f(x) = x3 + ax + bx + c, a2 3b has
one maximum value
one minimum value
no extreme value
one maximum and one minimum value
The angle between the lines whose direction cosines satisfy the equations l + m + n = 0, l2 + m2 - n2 = 0 is
If m1, m2, m3 and m4 are respectively the magnitudes of the vectors
then the correct order of m1, m2, m3 and m4 is
m3 < m1 < m4 < m2
m3 < m1 < m2 < m4
m3 < m4 < m1 < m2
m3 < m4 < m2 < m1
A.
m3 < m1 < m4 < m2
The line divides the area of the region bounded by y = sin(x), y = cos(x) and x - axis into two regions of areas A1 and A2. Then, A1 : A2 equals
4 : 1
3 : 1
2 : 1
1 : 1