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Julie Pranab Dube
Asked: 2022-11-05T15:01:36+05:30 In:

Statement-1 If A = {x |g(x) = 0} and B = {x| f(x) = 0}, then `A nn B` be a root of `{f(x)}^(2) + {g(x)}^(2)=0`
Statement-2 `x inAnnBimpliesx inAorx inB`.
A. Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1
C. Statement-1 is true, Statement-2 is false
D. Statement-1 is false, Statement-2 is true

Statement-1 If A = {x |g(x) = 0} and B = {x| f(x) = 0}, then `A nn B` be a root of `{f(x)}^(2) + {g(x)}^(2)=0`
Statement-2 `x inAnnBimpliesx inAorx inB`.
A. Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1
C. Statement-1 is true, Statement-2 is false
D. Statement-1 is false, Statement-2 is true
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1 Answer

  1. Correct Answer – C
    Let `alphain(AnnB)impliesalphainAandalphainB`
    `implies g(alpha)=0`
    `andf(alpha)=0`
    `implies {f(alpha)}^(2)+{g(alpha)}^(2)=0`
    `implies alpha” is a root of “{f(x)}^(2)+{g(x)}^(2)=0`
    Hence, Statement-1 is true and Statement-2 is false.

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