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Home › HSSC Mandi Supervisor Exams › 2016 (Shift-1) Agriculture Marketing Board
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If (i) 10x² – 7x + 1 = 0 and
(ii) 35y² – 12y + 1 = 0, then:

A
x ≥ y
B
x < y
C
x > y
D
x ≤ y
Correct Option: A

Explanation

From

10x^2-7x+1=0,

x=(7±3)/(20),

so

x=1/2 or 1/5.

From

35y^2-12y+1=0,

y=(12±2)/(70),

so

y=1/5 or 1/7.

Every possible x is at least as large as every corresponding possible y. Equality can occur at x=y=1/5. Hence:

x ≥ y.

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