The solution of the differential equation is
x log(x) = y + c
x log(x) = yc
y(1 + log(x) = c
log(x) - y = c
The maximum value of the objective function Z = 3x + 2y for linear constraints x + y 7, 2x + 3y 16, x2 0, y2 0 is
16
21
25
28
A four digit number is to be formed using the digits 1, 2, 3 4, 5 6, 7 (no digit is being repeated in any number). Then, the probability that it is > 4000, is
3/2
1/2
4/7
3/7
The equation of the plane which passes through (2, - 3, 1) and is normal to the line joining the points (3, 4, - 1) and (2, - 1, 5), is given by
x + 5y - 6z + 19 = 0
x - 5y + 6z - 19 = 0
x + 5y + 6z + 19 = 0
x - 5y - 6z - 19 = 0
The equation of the lines passing through the origin and having slopes 3 and - , is
3y2 + 8xy - 3x2 = 0
3x2 + 8xy + 3y2 = 0
3y2 - 8xy - 3x2 = 0
3x2 + 8xy - 3y2 = 0
D.
3x2 + 8xy - 3y2 = 0
(y - 3x)(3y + x) = 0
3x2 + 8xy - 3y2 = 0
The point where the line meets the plane 2x + 4y - z = 1, is
(3, - 1, 1)
(3, 1, 1)
(1, 1, 3)
(1, 3, 1)