निम्न में गलत संबंध का चुनाव करें? (i) `sqrt(6)+sqrt(2)=sqrt(5)+sqrt(3)` (ii) `sqrt(6)+sqrt(2)ltsqrt(5)+sqrt(3)` (iii) `sqrt(6)+sqrt(2)gtsqrt(5)+sqrt(
निम्न में गलत संबंध का चुनाव करें?
(i) `sqrt(6)+sqrt(2)=sqrt(5)+sqrt(3)`
(ii) `sqrt(6)+sqrt(2)ltsqrt(5)+sqrt(3)`
(iii) `sqrt(6)+sqrt(2)gtsqrt(5)+sqrt(3)`
A. i
B. ii
C. i and iii
D. ii and iii
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1 Answers
Correct Answer - C
from option(i)
`implies sqrt(6)+sqrt(2)=sqrt(5)+sqrt(3)`
`implies8+2sqrt(12)=8+2sqrt(15)`
(Squaring both side )
`sqrt(12)!=sqrt(15)`
So option (i) is incorrect
From option (ii)
`sqrt(6)+sqrt(2)ltsqrt(5)+sqrt(3)`
`implies8+2sqrt(12)lt8+2sqrt(15)`
`2sqrt(12)lt2sqrt(15)`
`implies` So option (ii) is correct
`implies` by option (iii)
`sqrt(6)+sqrt(2)gt sqrt(5)+sqrt(3)`
`8+2sqrt(12)gt8+2sqrt(15)`
`2sqrt(12)lt2sqrt(15)`
So option (iii) is also incorrct
Therefore Ans (c) option (i) and (iii) is incorrect
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