If tangent to the curve x = at2, y = 2at is perpendicular to x axis, then its point of contact is:
(a, a)
( 0, a )
( a,0 )
( 0, 0 )
Coordinates of the point P on the curve y2 = 2x3, where the tangent is perpendicular to the line 4x - 3y + 2 = 0 are given by:
(2, 4 )
(0, 0 )
( 1/8, 1/16)
The equation of the tangent to the curve y = 2sinx + sin2x at x = π/3 is equal to:
2y = 3√3
y = 3√3
2y + 3 √3 = 0
y + 3 √3 = 0
The side of a cube is equal to the diameter of a sphere.If the side and radius increase at the same rate then the ratio of the increase of their surfaces is
π : 6
2π:3
3:2π
3:π
The largest value of ax3 - 3x2 - 12x = 5 for -2 ≤ x ≤ 4 occurs at x =
-2
For the curve y = xex , the point
x = -1 is a point of minima
x = 0 is a point of minima
x = -1 is a point of maxima
x = 0 is a point of maxima
Tangents to curve y = x3 at x = -1 and x = 1 are.
Parallel
Intersecting obliquely
Perpendicular to each other
None of these
The slope of the tangent to the curve y = 16 - x2 at x = 0 is
0
2
16
Divide 20 into two parts such that the product of one part and the cube of the other is maximum then two parts
( 10, 10)
( 12, 8 )
( 15, 5 )
