Question 14
If the roots of the equation $$px^{2} + x + r = 0$$ are reciprocal to each other, then which one of the following is correct ?
Solution
If roots are reciprocal to each other, the product of roots will be 1.
From the given equation, the product of roots will be $$\frac{r}{p}$$. That wil be equal to 1.
So, r = p
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