1.

यदि `a=2+sqrt(3)` है तो `(a^(2)+1/(a^(2)))` का मान ज्ञात करें।A. 12B. 14C. 16D. 10

Answer» Correct Answer - B
`a=2+sqrt(3)`
`implies a^(2)=(2+sqrt(3))^(2)`
`implies 4+3+4sqrt(3)`
`implies 7+4sqrt(3)`
`implies 1/(a^(2))=1/(7+4sqrt(3))`
`=(7-4sqrt(3))/((7+4sqrt(3))(7-4sqrt(3)))=(7-4sqrt(3))/1`
`:. a^(2)+1/(a^(2))=7+4sqrt(3)+7-4sqrt(3)`
`=14`


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