Home
Class 12
MATHS
If a normal of curvex^(2//3)+y^(2//3)=a^...

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`.

Promotional Banner

Similar Questions

Explore conceptually related problems

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 phi with the x-axis,show that its equation is,y cos phi-x cos phi=a cos2 phi

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 ycosphi-xsinphi=acos2phi .

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

If a normal to a parabola y^(2)=4ax makes an angle phi with its axis,then it will cut the curve again at an angle

If a normal to a parabola y^2 =4ax makes an angle phi with its axis, then it will cut the curve again at an angle

If a normal to a parabola y^2 =4ax makes an angle phi with its axis, then it will cut the curve again at an angle

If a normal to a parabola y^2 =4ax makes an angle phi with its axis, then it will cut the curve again at an angle