Prove that all points on the curve `y^(2)=4a[x+a sin(x/a)]` at which the tangent is parallel to the x-axis lie on a parabola.

Prove that all points of the curve y^2=4a[x+asinx/a] at which the langent is parallel to the axis of x, lie on a parabola.

Prove that all the point on the curve y=sqrt(x+sinx) at which the tangent is parallel to x-axis lie on parabola.

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

For the curve x^(2)+4xy+8y^(2)=64 , the tangents are parallel to the x-axis only at the points-

For the curve x^(2)+4xy+8y^(2)=64 the tangents are parallel to the x-axis only at the points

Find the points on the ellipse 4x^(2)+9y^(2)=36 at which the tangents are paralle to x-axis.

Find points on the curve (x^(2))/(4) +(y^(2))/(25) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

The point on the curve y^(2)=x , the tangent at which makes an angle 45^(@) with the x- axis is-

Find points on the curve (x^(2))/(9) +(y^(2))/(16) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

The point on the curve sqrt(x) + sqrt(y) = sqrt(a) , the normal at which is parallel to the x-axis is-