यदि `x=(sqrt(3))/2` है तो `((sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x)))` का मान क्या होगा?
यदि `x=(sqrt(3))/2` है तो `((sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x)))` का मान क्या होगा?
A. `-sqrt(3)`
B. `-1`
C. `1`
D. `sqrt(3)`
4 views
1 Answers
Correct Answer - D
`x=(sqrt(3))/2`
`(sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x))xx(sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))`
`=((sqrt(1+x)+sqrt(1-x)^(2)))/((sqrt(1+x))^(2)-(sqrt(1-x))^(2))`
`=(1+x+1-x+2sqrt(1-x^(2)))/(1+x-1+x)`
`=(2+2sqrt(1-x^(2)))/(2x)=(1+sqrt(1-x^(2)))/x`
`=(1+sqrt(1-3/4))/(sqrt(3))xx2`
`=((1+1/2))/(sqrt(3))xx2=(3/2xx2)/(sqrt(3))=sqrt(3)`
4 views
Answered