I- p 2-4II- q2-4 q-4A- If p is greater than qB- If p is smaller than qC- If p is equal to qD- If p is either equal to or greater than qE- If p is either equal to or smaller than q

The correct option is D If p is either equal to or greater than qEquation I p^2 = 4 ⇒ p =± 2 Equation II q^2+4q= 4 ⇒ q^2+4q+4=0 ⇒ q^2+2q+2q+4=0 ⇒ q(q+2)+2(q+2 ...

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Quantitative Aptitude

Quadratic Equations

I. p 2=4II. q...

Question

I. $p^{2} = 4$
II. $q^{2} + 4 q = - 4$

If p is greater than q

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If p is smaller than q

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If p is equal to q

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If p is either equal to or greater than q

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If p is either equal to or smaller than q

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Solution

The correct option is D If p is either equal to or greater than q
Equation I
$p^{2} = 4 \Rightarrow p = \pm 2$

Equation II
$q^{2} + 4 q = - 4$
$\Rightarrow q^{2} + 4 q + 4 = 0$
$\Rightarrow q^{2} + 2 q + 2 q + 4 = 0$
$\Rightarrow q (q + 2) + 2 (q + 2) = 0$
$\Rightarrow (q + 2) (q + 2) = 0$
$\Rightarrow (q + 2)^{2} = 0$
$\Rightarrow q = - 2$
Hence, $p \geq q$

Suggest Corrections

I. p2=4 II. q2+4q=−4

The correct option is D If p is either equal to or greater than qEquation I p2=4⇒p=±2 Equation II q2+4q=−4 ⇒q2+4q+4=0 ⇒q2+2q+2q+4=0 ⇒q(q+2)+2(q+2)=0 ⇒(q+2)(q+2)=0 ⇒(q+2)2=0 ⇒q=−2 Hence, p≥q

I. $p^{2} = 4$
II. $q^{2} + 4 q = - 4$