If u = f(x2 + y2) then ∂u/∂x:∂u/∂y is
x2:y2
1/x2:1/y2
x:y
None of these
The approximate value for 1/10.1 is
0.99
0.099
0.0099
0.909
The tangent to the parabola x2 = 2 y at the point makes with x - axis at an angle
0o
45o
30o
60o
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 normal at the point ( 1, 1 ) to the curve 2y =3 -x2 is:
x + y = 0
x + y + 1 = 0
x - y + 1 = 0
Tangents to curve y = x3 at x = -1 and x = 1 are
Parallel
Intersecting obliquely
Perpendicular to each other
The point on the curve y = 12 x - x3 , the tangent at which are parallel to x-axis are
(2,16) and (-2,-16)
(2,16) and (-2,16)
(-2,16) and (2,-16)
Let p ( x ) = a0 + a1 x2 + a2 x4 + - - - - - - an x2n be a polynomial in real variable x with 0 < a0 < a1, < a2 - - - - - < an. The function P (x ) has
Only one minimum
Only one maximum
Neither a max nor min
The equation of the normal of the curve y = x (2 - x ) at the point ( 2, 0 ) is
x - 2y = 2
2x + y = 4
x - 2y + 2 = 0
