Question

In each of these questions two equations numbered I and II are given. You have to solve both the equations and give answer, if –

I. p² - 10p +21 = 0

II. q² + q -12 = 0

A p=q Correct Answer Incorrect Answer
B p>q Correct Answer Incorrect Answer
C p Correct Answer Incorrect Answer
D p≥q Correct Answer Incorrect Answer
E p≤q Correct Answer Incorrect Answer

Solution

I. p² - 10p +21 = 0 p² - 3p – 7p +21 = 0 ⟹ p (p - 3) – 7 (p - 3) = 0 ⟹ (p-7)(p-3)= 0 ⟹ p= 3, 7 II. q²+q -12 = 0 ⟹ q² + 4q – 3q -12 =0 ⟹ q(q + 4) -3(q + 4)= 0 ⟹ q = -4, 3 ∴ p≥q

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