1.

The inequality `x(lambda - x)lt y(lambda - y)AA x, y` with `x lt y lt 1` is always true ifA. `lambda le 2`B. `lambda ge 2`C. `lambda lt -1`D. for no value of `lambda`

Answer» Correct Answer - B
The inequality `x(lambda-x)lt` …………..
`lambda x-x^(2)lt lambda y - y^(2)`
`x^(2)-y^(2)-lambda x + lambda y gt 0`
`(x-y)(x+y)-lambda(x-y)lt 0`
`(x-y)(x+y-lambda)gt0`
`x+y-lambda lt 0`
`x+y lt lambda`


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