The chord joining the points (5, 5) and (11, 227) on the curve y = 3x2 - 11x - 15 is parallel to tangent at a point on the curve. Then, the abscissa of the point is
- 4
4
- 8
8
The function f(x) = sin(x) - kx - c, where k and c are constants, decreases always when
k > 1
k < 1
If y = mlog(x) + nx2 + x has its extreme values at x = 2 and x = 1, then 2m + 10n is equal to
- 1
- 4
- 2
- 3
If s = 2t3 - 6t2 + at + 5 is the distance travelled by a particle at time t and if the velocity is - 3 when its acceleration is zero, then the value of a is
- 3
3
4
- 4
If f(1) = 1, f(2n) = f(n) and f(2n + 1) = {f(n)}2 - 2 for n = 1, 2, 3, ... , then the value of f(1) + f(2) + ... + f(25) is
1
- 15
- 17
- 1
In a class of 80 students numbered 1 to 80, all odd numbered students opt for cricket, students whose numbers are divisible by 5 opt for football and those whose numbers are divisible by 7 opt for hockey. The number of students who do not opt any of the three game is
13
24
28
52
The roots of the equation = 0 are
2, 1, - 9
1, 1, - 9
- 1, 1, - 9
- 2, - 1, - 8
B.
1, 1, - 9