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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