The equation of tangent to the curve 6y = 7 - x3 at (1, 1) is
2x + y = 3
x + 2y = 3
x + y = 1
x + y + 2 = 0
If u = , then
xux = yuy
yux = xyy
yux + xuy = 0
x2uy + y2ux = 0
C.
yux + xuy = 0
The family of curves in which the sub-tangent at any point to any curve is double the abscissa is given by
x = Cy2
y = Cx2
x2 = Cy2
y2 = Cx2
Let Z denote the set of integers define f : by f(x) = , then f is
onto but not one-one
one-one but not onto
one-one and onto
neither one-one nor onto