Given below are two statements: Statement I: \(\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}-\sqrt{5}}+\frac{\sqrt{7}-\sqrt{5}}{\sqrt{7}+\sqrt{5}}=2\) Statement II: If a+b+c=0, then (a 3 +b 3 +c 3 ) ÷ abc=3 In light of the above statements, choose the correct answer from the options given below

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Question:

Given below are two statements:
Statement I: \(\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}-\sqrt{5}}+\frac{\sqrt{7}-\sqrt{5}}{\sqrt{7}+\sqrt{5}}=2\)
Statement II: If a+b+c=0, then (a³+b³+c³) ÷ abc=3
In light of the above statements, choose the correct answer from the options given below

Updated On: Jul 23, 2024

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The Correct Option is (A): Both Statement I and Statement II are true

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