• Contingency

• Contradiction

• Tautology

• None of these

The feasible region is the set of point which satisfy

• The object functions

• All the given constraints

• Some of the given constraints

• Only one constraints

If the line y= 4x - 5 touches the curve y²= ax³+b at the point (2,3) then a + b is

• -5

• 2

• -7

• 9

• y = e^x + c

• y = e^-x + c

• y = - e^-x + c

• y = e^2x + c

The direction ratios of the line 3x+1 = 6y-2 = 1-z are

• 2, 1, 6

• 2, 1, -6

• 2, -1, 6

• -2, 1, 6

The equation 4x² + 4xy + y² = 0 represents two ______

• real and distinct lines

• real and coincident lines

• imaginary lines

• perpendicular lines

If X denotes the number on the uppermost face of cubic die when it is tossed then E(X)

• 1

Equation of X- axis is ____

• x = y = z

• y = z

• y = 0, z = 0

• x= 0 , y= 0

• 1

• 2

• 4

• 3

The distance of the point (3, 4, 5) from the Y - axis is _____

• 4

• 5