Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
, 
, 
are non-coplanar vectors and 
, 
, 
form reciprocal system of 
, 
, 
respectively then find the value of ( 
+ 
). 
+ ( 
+ 
). 
+ ( 
+ 
). 
.
Text Solution
Verified by ExpertsThe correct answer is:
0024
Ans. 0024
Sol. Any point on the ellipse 
= 1 can be taken as 
and the slope of the tangent = – 
= – 
= – 
cot θ
Given slope of the tangent = – 
From equations (1) and (2)
cot θ = 1 ⇒ θ = 
Hence the equation of the tangent is 
= (i.e.) 
= 1
Hence A = (6, 0), B = (0, 8)
Area of Δ OAB = 
× 6 × 8 = 24 sq. units
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