The distance of a point on the ellipse x26+y22=1 from the centre is 2 Find the eccentric angle of - Maths -

Question

The distance of a point on the ellipse x 2 6 + y 2 2 = 1 from the
centre is 2 Find the eccentric angle of the point

Zuhaib Ul Zamann · Accepted Answer

Dear student,
Let eccentric angle be ∅So we haveP=6cos∅,2sin∅Now OP=6cos2∅+2sin2∅=26cos2∅+2sin2∅=43cos2∅+1-cos2∅=22cos2∅=1cos∅=±12Hence ∅=π4,3π4,-π4,-3π4Hence possible eccentric angles are π4,3π4,-π4 and-3π4Regards

The distance of a point on the ellipse x 2 6 + y 2 2 = 1 from the centre is 2. Find the eccentric angle of the point.

The distance of a point on the ellipse $\frac{x^{2}}{6} + \frac{y^{2}}{2} = 1$ from the centre is 2. Find the eccentric angle of the point.