I- 3 p-2 q q-58-0 1II- 4 q-4 p-92 A- p is greater than qB- p is smaller than qC- p is equal to qD- p is either equal to or greater than qE- p is either equal or smaller than q

The correct option is A p is greater than qWe have, 3p +2q =58 ......(i) 4p+4q=92 ⇒ 2p+2q=46 ....(ii) by (i),(ii)we get p =12 From (i), 3 × 12+2q=58 ⇒ 2q=58 36 ...

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Byju's Answer

Standard XII

Mathematics

Contra-Positive

I. 3 p+2 q q-...

Question

$I . 3 p + 2 q q - 58 = 0 I I . 4 q + 4 p = 92$

p is greater than q

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p is smaller than q

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p is equal to q

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p is either equal to or greater than q

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p is either equal or smaller than q

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Solution

The correct option is A p is greater than q
We have,
3p +2q =58 ......(i)
4p+4q=92
$\Rightarrow 2 p + 2 q = 46 . . . . (i i)$
by (i),(ii)we get p =12
From (i), $3 \times 12 + 2 q = 58$
$\Rightarrow 2 q = 58 - 36 = 22 \Rightarrow q = 11$
Hence, p > q

Suggest Corrections

I.3p+2qq−58=0II.4q+4p=92

The correct option is A p is greater than qWe have, 3p +2q =58 ......(i) 4p+4q=92 ⇒2p+2q=46....(ii) by (i),(ii)we get p =12 From (i), 3×12+2q=58 ⇒2q=58−36=22⇒q=11 Hence, p > q

$I . 3 p + 2 q q - 58 = 0 I I . 4 q + 4 p = 92$

The correct option is A p is greater than q
We have,
3p +2q =58 ......(i)
4p+4q=92
$\Rightarrow 2 p + 2 q = 46 . . . . (i i)$
by (i),(ii)we get p =12
From (i), $3 \times 12 + 2 q = 58$
$\Rightarrow 2 q = 58 - 36 = 22 \Rightarrow q = 11$
Hence, p > q