Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is
3/2
5/2
7/2
7/2
At present, a firm is manufacturing 2000 items. It is estimated that the rate of change of production P with respect to the additional number of workers x is given by . If the firm employs 25 more workers, then
the new level of production of items is
2500
3000
3500
3500
If the lines
are coplanar, then k can have
any value
exactly one value
exactly two values
exactly two values
If the vectors AB = 3î + 4k̂ and AC = 5î - 2ĵ + 4k̂ are the sides of a Δ ABC, then the length of the median through A is
√18
√72
√33
√45
Statement I - The value of the integral is equal to π/6.
Statement II-
Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I
Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I
Statement -I is True; Statement -II is False.
Statement -I is True; Statement -II is False.
The area (in square units) bounded by the curves y = 2y-x+3 =0, X -axis and lying in the first quadrant is
9
36
18
18
A.
9
The intercepts on X- axis made by tangents to the curve, which are parallel to the line y =2x, are equal to
±1
±2
±3
±3