Given: The roots of the quadratic equation x 2 − ( 11 m ) x + 90 = 0 x^2 - (11m)x + 90 = 0 x 2 − ( 11 m ) x + 90 = 0 are natural numbers p p p and q q...

Banking RBI Grade B Prelims Medium Number System (including HCF LCM) MCQ

Question

Given: The roots of the quadratic equation

x^2 - (11m)x + 90 = 0

are natural numbers

p

and

q

. The sum of the squares of the roots is 549.

Question: Which of the following statements are true?

(i)

m = 1

(ii) The roots are 18 and 12.

(iii) The difference between the roots is 3.

Only (i) and (ii)

Only (i) and (iii)

Only (ii) and (iii)

Only (i)

None of these

quadratic equationsrootssum of squaresnatural numbers

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