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JEE • MATHEMATICS • QUADRATIC EQUATIONS

Quadratic equations practice · Medium

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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Showing 361-362 of 362 questions
361 Medium
361 of 362
Analyzing +4 | -1
The number of real roots of the equation 5+∣2x−1∣=2x(2x−2)5 + \left| {{2^x} - 1} \right| = {2^x}({2^x} - 2) is
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Correct option: A
1
Option A (1) is correct because solving the equation with absolute value requires considering two cases, and only one case yields a valid real root.
362 Medium
362 of 362
Analyzing +4 | -1
Product of real roots of the equation

t2x2+∣x∣+9=0t^{2} x^{2}+|x|+9=0
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Correct option: A
is always positive
Option A (is always positive) is correct because the product of real roots is equal to 9 divided by t squared, which is always positive.
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