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Quadratic Equations — JEE Practice

15 practice questions across 1 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

1 Topics15 Questions

Roots & Nature of Quadratics(15 Qs)

easy (5)

Q1The roots of ax² + bx + c = 0 are given by:Q2If discriminant D > 0, the roots are:Q3Sum of roots of ax² + bx + c = 0 is:Q4Product of roots of ax² + bx + c = 0 is:Q5If both roots of a quadratic are positive, then:

medium (5)

Q1The quadratic x² - 5x + 6 = 0 has roots:Q2For the equation x² + px + q = 0 to have real roots:Q3If α and β are roots, the equation with roots 1/α and 1/β is:Q4The condition for one root to be zero is:Q5If α and β are roots of x²-3x+2=0, then α²+β² =

hard (5)

Q1For the quadratic f(x) = ax²+bx+c with a>0, f(x)>0 for all x iff:Q2If one root of ax²+bx+c=0 is square of the other, then:Q3Common root condition: equations a₁x²+b₁x+c₁=0 and a₂x²+b₂x+c₂=0 have a common root when:Q4The number of real solutions of |x|² - 5|x| + 6 = 0 is:Q5If roots of x²-2px+q=0 differ by 2, then:

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