Quadratic Equations
RD Sharma
CBSE
Grade 10
Question:
If the roots of $p x^2 + q x + r = 0$ are reciprocal to each other, then:
(a) $p = r$
(b) $p = q$
(c) $q = r$
(d) $p q r = 1$
Step-by-Step Solution
Key Concept: Product of roots $= 1 \Rightarrow r/p = 1 \Rightarrow p = r$.
Product $= \alpha(1/\alpha) = 1 \Rightarrow r/p = 1 \Rightarrow p = r$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Setting product $= 1 \Rightarrow p = r$: 1.0 Mark
Correct Answer: $p = r$
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