NCERT · Class 10 · Mathematics · Quadratic EquationsIf the equation $x^2 - kx + 4 = 0$ has equal roots, then the value of $k$ is:
Step-by-Step Solution
For equal roots, $D = 0 \Rightarrow b^2 - 4ac = 0$. $(-k)^2 - 4(1)(4) = 0 \Rightarrow k^2 - 16 = 0 \Rightarrow k^2 = 16 \Rightarrow k = \pm 4$.
Detailed Options Breakdown
Option : $\pm 4$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $\pm 2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadratic Equations.
Option 2: $\pm 8$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadratic Equations.
Option 3: $\pm 16$
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.