Physics JEE Main Full Syllabus Mock Test 75 Question New Syllabus TEST 5 PCM MCQ (Single Correct)

Statement I If is a quadratic equation such that its roots are and and , then , (where denotes greater integer function).

Statement II If for any two real numbers and continuous function is such that has at least one root lying in .

A
Statement I is true, Statement II is true, Statement II is a correct explanation of Statement I.
B
Statement I is true, Statement II is true, Statement II is not a correct explanation of Statement I.
C
Statement I is true, Statement II is false.
D
Statement I is false, Statement II is true.

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Text Solution

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The correct answer is:
A

Let

Hence, one root lies in and the other lies in . and

Therefore, Statement I is true.

Statement II is true and it is a correct explanation of Statement I.

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