Determine the equation of straight line which is tangent at one point and normal at any point of the curve `x=3t^2 , y=2t^3`

Find the equation of the straight line which is tangent at one point and normal at another point of the curve x=3t^(2), y=2t^(3) .

Find the equation of the straight line which is a tangent at one point and normal at another point to the curve y=8t^(3)-1, x=4t^(2)+3 .

Find the equation of the straight line which is a tangent at one point and normal at another point to the curve y=8t^(3)-1, x=4t^(2)+3 .

The equation of the straight lines which are both tangent and normal to the curve 27x^(2)=4y^(3) are

The equation of the straight lines which are both tangent and normal to the curve 27x^(2)=4y^(3) are

The equation of the straight lines which are both tangent and normal to the curve 27x^(2)=4y^(3) are

If a line is tangent to one point and normal at another point on the curve x=4t^2+3,y=8t^3-1, then slope of such a line is

The equation of the normal at the point 't' to the curve x=at^(2), y=2at is :

Find the equations of the tangent and the normal at the point ' t ' on the curve x=a\ s in^3t , y=b\ cos^3t .

Find the equations of the tangent and the normal at the point ' t ' on the curve x=a\ sin^3t , y=b\ cos^3t .