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Nature of Roots

If p and q ar...

Question

If p and q are the roots of the equation x² − px + q = 0, then

(a) p = 1, q = −2
(b) b = 0, q = 1
(c) p = −2, q = 0
(d) p = −2, q = 1

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Solution

Given that p and q be the roots of the equation

Then find the value of p and q.

Here,

p and q be the roots of the given equation

Therefore, sum of the roots

….. (1)

Product of the roots

As we know that

Putting the value of in equation (1)

Therefore, the value of

Thus, the correct answer is

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