There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is :
3000
2250
2255
1500
Which of the following points lies on the tangent to the curve at the point (1, 0)
(- 2, 4)
(2, 2)
( - 2, 6)
(2, 6)
If x = 1 is a critical point of the function f(x) = (3x2 + ax –2 – a) ex, then
x = 1 and x = are local minima of f
x = 1 is a local maxima and x = is a local minima of f.
If the system of linear equations
x + y + 3z = 0
x + 3y + k2z = 0
3x + y + 3z = 0
has a non–zero solution (x, y, z) for some k R, then x is equal to :
- 9
- 3
9
3
If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non–zero distinct real numbers then
y(a - b)
0
y(b - a)
y(a - c)
The area (in sq. units) of the region A = {x, y) : (x –1) [x] ,where [t] denotes the greatest integer function, is :
D.