If u = x2y + y2z + z2x then ux + uy + uz =
A stone is thrown vertically upwards from the top of a tower 64 metres high according to the law s = 48t - 16t2.The greatest height above the ground is
64 metres
36 metres
100 metres
None of these
If y = a log | x | + bx2 + x has its extreme value at x = -1 and x = 2 then:
a = 2, b = -1
a = 2, b = -1/2
a = -2, b = 1/2
The point on the curve y = x2 - 2x + 3 where the tangent is parallel to x axis is
( 1, 2 )
( 1, 3 )
( 3, 1 )
( 2, 1 )
The slope of the tangent to the curve y = 16 - x2 at x = 0 is
0
-2
2
16
Two towns A and B are 60 km a part A school is to be built to serve 150 students.If the total distance to be traveled by all 200 students is to be as small as possible, then the school should be built at
Town B
Town A
45 km from town B
If the percentage increase in the edge of cube is k,then percentage increase in the volume is
k
2k
3k
k3
The equation of the normal to the curve y (x - 2 ) (x - 3) 0 x + 7 = 0 at the point where it cuts the x axis is:
x - 20y = 7
20 x - y = 7
20x + y = 140
20x - y = 140
The length of the subnormal to the parabola y2 = 4dx at any point is equal to:
√2 a
2√2 a
a/√2
2a
