Question

यदि `x=p+1/p` और `y=p-1/p` है तो `x^(4)-2x^(2)y^(2)+y^(4)` का मान ज्ञात करें।
A. 24
B. 4
C. 16
D. 8

Answer 1

Correct Answer - C
`x=p+1/p,y=p-1/p`
`:. x+y=p+1/p+p-1/p=2p`
`x-y=p+1/p-p+1/p=2/p`
`implies x^(4)+y^(4)-2x^(2)y^(2)`
`implies (x^(2)-y^(2))^(2)=[(x+y)(x-y)]^(2)`
`implies (2pxx2/p)^(2)=(4)^(2)=16`