The points of contact of the vertical tangents to `x = 2 – 3 sin phi, y = 3 + 2 cos phi` are;

Find the equations of tangent to the curve x=a sin^(3)phi,y=a cos^(3)phi at phi

If the normal at any point to the curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle phi with the x-axis then prove that the equation of the normal is y cos phi- x sin phi = a cos 2phi .

Locus of the point of intersection of the tangents at the points with eccentric angles phi and (pi)/(2) - phi on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is

Locus of the point of intersection of the tangents at the points with eccentric angles phi and (pi)/(2) - phi on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is

Locus of the point of intersection of the tangents at the points with eccentric angles phi and (pi)/(2) - phi on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is

If the normal at any point on the curve x^(2//3) + y^(2//3) = a^(2//3) makes an angle phi with the x-axis, then prove that the equation of the normal is y cosphi - x sin phi = a cos 2 phi

The product of y the perpendiculars from the two points (pm 4, 0) to the line 3x cos phi +5y sin phi =15 is

If a normal of curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle phi from X-axis then show that its equation is y cos phi -x sin phi = a cos 2phi .