Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A tangent having slope 
to the ellipse 
intersects the major and minor axes at A and B. If O is the origin, then the area of 
OAB is
Text Solution
Verified by ExpertsThe correct answer is:
C
24 sq. units
Any point on the ellipse 
can be taken as 
and the slope of the tangent as 
Hence, slope 
…..(1)
Given, the slope of the tangent = 
....(2)
From equations (1) and (2), we get,
Hence, the equation of the tangent is 
(i.e.) 
Hence, A = (6, 0), B = (0, 8)
Area of 
OAB = 
x6x8 = 24 sq. units
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