The point of contact of 3x + 4y + 7 = 0 and x2 + y2 - 4x - 6y -12 = 0 is
(1, 1)
(- 1, 1)
(1, - 1)
( -1, - 1)
The equation x2 - 7xy + 12y2 = 0 represents a
circle
pair of parallel straight lines
pair of perpendicular straight lines
pair of non-perpendicular straight lines
For f(x) = (x - 1)2/3, the mean value theorem is applicable to f(x) in the interval
[2, 4]
[0, 2]
[- 2, 2]
any finite interval
Let f(x) = a - (x - 3)8/9, then maxima of f(x) is
3
a - 3
a
None of these
D.
None of these
At x = 3, f'(x) does not exist but f(x) is continuous.
Hence, no value of x exist.
The differential coefficient of f(log(x)) with respect to x, where f(x) = log(x) is
None of these