MP Board · Class 10 · Mathematics · Quadratic EquationsA quadratic equation $ax^2 + bx + c = 0$ has two distinct real roots if:
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Step-by-Step Solution
A quadratic equation has two distinct real roots if and only if its discriminant $b^2 - 4ac > 0$.
Detailed Options Breakdown
Option : $b^2 - 4ac > 0$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $b^2 - 4ac = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadratic Equations.
Option 2: $b^2 - 4ac < 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadratic Equations.
Option 3: $b^2 - 4ac \le 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadratic Equations.
💡 Study Guide: This question tests core syllabus concepts from Quadratic Equations. For formulas, key summaries, and mock exam reference guides, read the full Quadratic Equations Revision Notes.