Find the point on the curve `y^2=a x` the tangent at which makes an angle of `45^@` with the x-axis.

Find the equation of the locus of the middle points of the chords of the hyperbola 2x^2-3y^2=1, each of which makes an angle of 45^0 with the x-axis.

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

Find the equation of a line through the origin which makes an angle of 45^(@) with the positive direction of x-axis.

Find the locus of point on the curve y^2=4a(x+as in x/a) where tangents are parallel to the axis of xdot

Using Rolle's theorem find the point on the curve y=x^(2)+1,-2lexle2 where the tangent is parallel to x-axis.

Find the point on the curve y=x^(2)-5x+4 at which the tangent is parallel to the line 3x + y = 7.

Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the tangents are parallel to the x-axis.

Find the points on the curve y = x 3 at which the slope of the tangent is equal to the y-coordinate of the point.