Question

If the line x+2y+4=0 cutting the ellipse x2a2+y2b2=1 in points whose eccentric angles are 30∘ and 60∘ subtends a right angle at the orgin, then its equation is x28+y24=1 x28+y24=1 x24+y216=1 None of the above

Answer 1

Answer:

Steps:

1) Draw a line segment AB of length 9.3 units.

2) Extend the line by 1 unit more such that BC=1 unit .

3) Find the midpoint of AC.

4) Draw a line BD perpendicular to AB and let it intersect the semicircle at point D.

5) Draw an arc DE such that BE=BD.

Therefore, BE=

9.3

units