y=3x is tangent to the parabola `2y=ax^2+b`. The minimum value of a+b is

A

2

B

4

C

6

D

8

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

y=3x is tangent to the parabola 2y=ax^2+b . If (2,6) is the point of contact , then the value of 2a is

y=3x is tangent to the parabola 2y=ax^2+b . If b=18,then the point of contact is

If y=2 x+c is a tangent to the parabola y^(2)=16 x then c=

If x-2y = 4, then the minimum value of xy is

If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

If a tangent of slope 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is normal to the circle x^2+y^2+4x+1=0 , then the maximum value of a b is

The equation of the tangent to the parabola y=x^(2)-x at the point x=1, is

The line y=m x+2 is a tangent to the parabola y^(2)=4 x, then m=

The tangent to the parabola y^(2)=8 x parallel to the line 2 y+x=0 is

The line y=2x+c is a tangent to the parabola y^(2)=4x if c is equal to