# If 2 and 12 are the zeros of px2 + 5x + r, then ______. - Mathematics

MCQ
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If 2 and 1/2 are the zeros of px2 + 5x + r, then ______.

#### Options

• p = r = 2

• p = r = -2

• p = 2, r= -2

• p = -2, r = 2

#### Solution

If 2 and 1/2 are the zeros of px2 + 5x + r, then p = r = -2.

Explanation:-

Sum of zeroes = 2 + 1/2 = (-5)/p

i.e. 5/2=(-5)/p

So p = -2

Product of zeroes = 2xx1/2=r/p

i.e. r/p=1 or

r = p = -2

Concept: Relationship Between Zeroes and Coefficients of a Polynomial
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