If f(x) = x, then :
f(x) is continuous but not differentiable at x = 0
f(x) is not differentiable at x = 0
f(x) is differentiable at x = 0
None of the above
Let A, B and C be n x n matrices. Which one of the following is a correct statement?
If AB = AC, then B = C
If A3 + 2A2 + 3A + 51 = 0, then A is invertible
If A2 = 0,then A = 0
None of these
If the line ax + by + c = 0 is a normal to the curve y =1, then :
a > 0, b > 0
a > 0, b < 0
a < 0, b < 0
Data is insufficient
If f(x) = cos(log(x)), then f(x)f(y) has the value :
- 1
- 2
zero
D.
zero
Area bounded by the curve y = loge(x), x = 0, y 0 and x - axis is :
1 sq unit
sq unit
2 sq unit
None of these