If the normal to the curve `x^[2/3]+y^[2/3]=a^[2/3]` makes an angle `phi` with the x-axis, show that its equation is, `ycosphi-xcosphi=acos2phi`

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 .

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

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 .

If the normal to the curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle theta with the x -axis then the slope of the normal is ……….

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 ycosphi-xsinphi=acos2phi .

If the normal to the curve y=f(x) at (1, 2) make an angle (3pi)/(4) with positive X-axis, then f'(1)=

If the normal to the curve y =f(x) at the point (1, 2) makes an angle 3pi//4 with the positive x-axis, then f'(1) is

If the normal to the curve x^((2)/(3))+y^((2)/(3))=a^((2)/(3)) at any point makes an angle phi with posititive direction of the x-axix, prove that, the equastion of the normal is y cos phi- x sin phi= a cos 2 phi