Let g(x) = , where f is such that for t [0, 1] and for t [1, 2]. Then, g(2) satisfies the inequality
2 < g(2) < 4
For which of the followmg value of m, is the area of the region bounded by the curve y = x - x2 and the line y = mx equals to ?
- 4
- 2
2
- 4
The points, whose position vectors are 60i + 3j, 40i - 8j and ai - 52j collinear, if
a = 40
a = - 40
a = 20
a = - 20
If a = i - j + k, a b = 0, a x b = c, where c = - 2i - j + k, then b 1s equal to
(1, 0, - 1)
(0, 1, 1)
(- 1, - 1, 0)
(- 1, 0, 1)
If P(A) = 65, P(B) = 80, then P(A B) lies in the interval
[30, 80]
[35, 75]
[4, 70]
[0.45, 0.65]
D.
[0.45, 0.65]