Question:
<p>The value of '<span class="math-tex">\(p\)</span>' for which the equations <span class="math-tex">\(p x+3 y=p-3,12 x+p y=p\)</span> has infinitely many solutions is:</p>
<p style="display:inline">6 only</p>
<p style="display:inline"><span class="math-tex">\(\pm 6\)</span></p>
<p style="display:inline">Any real number except <span class="math-tex">\(\pm 6\)</span></p>
<p style="display:inline">-6 only</p>
Step-by-Step Solution
Key Concept: A system of linear equations has infinitely many solutions when the ratios of corresponding coefficients and constant terms are all equal, representing coincident lines.
<p>6 only</p>
Correct Answer: A