What is the minimum height of any point on the curve `y=-x^2+6x-5` above the x-axis?

What is the minimum height of any point on the curve y=x^2-4x+6 above the x-axis?

Find the maximum distance of any point on the curve x^2+2y^2+2x y=1 from the origin.

The point on the curve y=x^(2) is the tangent parallel to X-axis is

In how many points graph of y=x^3-3x2+5x-3 interest the x-axis?

Find the equation of the curve passing through the origin if the middle point of the segment of its normal from any point of the curve to the x-axis lies on the parabola 2y^2=x

The area bounded by the curve a^(2)y=x^(2)(x+a) and the x-axis is

The minimum distance between a point on the curve y = e^x and a point on the curve y=log_e x is

The radius of a circle, having minimum area, which touches the curve y=4-x^2 and the lines y=|x| is :