MP Board · Class 10 · Mathematics · Quadratic EquationsIf the discriminant $D = 0$, then the roots of the quadratic equation are:
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Step-by-Step Solution
When the discriminant $D = b^2 - 4ac = 0$, the quadratic equation has two real and equal (coincident) roots.
Detailed Options Breakdown
Option : Real and distinct
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadratic Equations.
Option 1: Real and equal (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: No real roots
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadratic Equations.
Option 3: Imaginary and distinct
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.