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Maths Quadratic Equations Mix Comprehension
Published on: August 14, 2026

Given quadratic equation x 2 – 2mx + m = 0. Let us consider 5 sets A, B, C, D and E, where set A consist of all values of m for which the product of roots of given quadratic equation is positive, set B consist of all values of m for which the product of roots of given quadratic equation is negative, set C consist of all values of m for which product of real roots is positive, set D consist of all values of m for which the quadratic equation has real roots and set E consist of all values of m for which quadratic equation has complex roots.

(i) Which statement is correct regarding set A, C and E –

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Ans.

(i)

Sol. set E is the subset of A

(ii)

Sol. all of the above

(iii)

Sol . least positive integer for set C is 1

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