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P and Q are two points of the hyperbola x^2/16 - y^2/25 =1 such that segment PQ subtends a right angle at the origin O.Show that 1/OP^2 +1/OQ^2 =(3/20)^2

8 years ago

Answers : (1)

vaibahv vardhan
31 Points
							

here we go by homogenisation , n we get an homogenous equation of the form ax2 + 2hxy + by2 = 0 , n we use a=b as it subtends a right angle at the origin. 

8 years ago
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