Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Consider the particle traveling clockwise on the elliptical path 
+ 
= 1. The particle leaves the orbit at the point
(–8, 3) and travels in a straight line tangent to the ellipse.
At what point will the particle cross the y-axis:
A
B
C
(0, 9)
D
Text Solution
Verified by ExpertsThe correct answer is:
A
General points on ellipse (10 cos θ , 5 sin θ )
tangent 
+ 
= 1
through (–8, 3)
– 
cos θ + 
sin θ = 1
⇒ sin θ . 
– cos θ . 
= 1
cos φ = 
, sin φ = 
y- coordinate
sin ( θ – φ ) = 1 = 
θ = 
+ φ = 
= 
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