If P is a point on the parabola `y=x^(2)+4` which is closest to the straightline `y=4x-1` ,then the Co-ordinates of P are :

Find the coordinates of a point on the parabola y=x^2+7x+2 which is closest to the straight line y=3x-3.

Find the coordinates of a point on the parabola y=x^2+7x+2 which is closest to the straight line y=3x-3.

Find the coordinates of a point on the parabola y=x^2+7x+2 which is closest to the straight line y=3x-3.

The points on the curve 2y=x^(2) which are closest to the point P(0, 5) are

The point(s) on the parabola y^2 = 4x which are closest to the circle x^2 + y^2 - 24y + 128 = 0 is/are

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

The ordinate of point on the curve y =sqrtx which is closest to the point (2, 1) is

Let tangent PQ and PR are drawn from the point P(-2, 4) to the parabola y^(2)=4x . If S is the focus of the parabola y^(2)=4x , then the value (in units) of RS+SQ is equal to

Let (a,b) be a point on the parabola y=4x-x^(2) and is the point nearest to the point A(-1,4) Find (a+b).

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is