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If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are four distinct points on a circle of radius 4 units then,abcd is equal to??

If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are four distinct points on a circle of radius 4 units then,abcd is equal to??

Grade:12th pass

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
4 years ago
abcd = 1

Explanation:-

Let’s consider a general eqn of circle

x^2 + y^2 + 2gx + 2fy + c = 0

now put the point (t,1/t) in it we get a biquadratic and then we need to find the product of roots

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