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Question

Question: If x<sup>2</sup> + y<sup>2</sup> = t + \(\frac{1}{t}\), x<sup>4</sup> + y<sup>4</sup> = t<sup>2</sup...

If x2 + y2 = t + 1t\frac{1}{t}, x4 + y4 = t2 + 1t2\frac{1}{t^{2}}, then –

A

x3 yy1 = –1

B

y2 = 2y/x2

C

x4 yy2 = 2

D

All correct

Answer

All correct

Explanation

Solution

Eliminate t , by

(x2 + y2)2 = t2 + 1t2\frac{1}{t^{2}} +2 = x4 + y4 + 2

Ž 2x2y2 = 2

Ž x2y2 = 1