Tangents to curve y = x3 at x = -1 and x = 1 are
Parallel
Intersecting obliquely
Perpendicular to each other
None of these
The curve y = x3 + x + 1, 2y = x3 + 5x at ( 1, 3 ) are:
Touching each other
Intersecting orthogonally
Not intersecting
A point moving on a line so that its velocity at time t is proportional to the square of the distance covered.Then its acceleration at time t varies as
Cube of the distance
The distance
Square of the velocity
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
The tangent of the curve y = x2 + 3x will pass through the point ( 0, -9 ) if it is drawn at the point.
( -3, 0 )
( -4, 4 )
The min intercept made by the axis on the tangent to the ellipse is
2a + b
