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ఇవ్వబడిన రెండు ప్రకటనలను అనుసరించి క్రింది ప్రశ్నకు సమాధానం ఇవ్వండి?

'a' ధనాత్మకము అవుతుందా?

I) a + b ధనాత్మకము.

II) a - b ధనాత్మకము.

  1. ప్రకటన I మాత్రమే ప్రశ్నకు సమాధానం ఇవ్వడానికి సరిపోతుంది.
  2. ప్రకటన II మాత్రమే ప్రశ్నకు సమాధానం ఇవ్వడానికి సరిపోతుంది.
  3. ప్రకటన I మరియు II రెండూ ప్రశ్నకు సమాధానం ఇవ్వడానికి అవసరం.
  4. ప్రకటన I మరియు II రెండూ ప్రశ్నకు సమాధానం ఇవ్వడానికి సరిపోవు.

Answer (Detailed Solution Below)

Option 3 : ప్రకటన I మరియు II రెండూ ప్రశ్నకు సమాధానం ఇవ్వడానికి అవసరం.
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Detailed Solution

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ప్రకటన I నుండి

a + b ధనాత్మకము ⇏ a ధనాత్మకముగా ఉంటుంది, ఎందుకంటే a రుణాత్మకంగా ఉన్నప్పుడు b పెద్ద ధనాత్మకము విలువ అవుతుంది

ప్రకటన II నుండి

a - b ధనాత్మకము. ⇏ a ధనాత్మకముగా ఉంటుంది, ఎందుకంటే a రుణాత్మకంగా ఉన్నప్పుడు b పెద్ద రుణాత్మక విలువ అవుతుంది

రెండింటినీ కలపగా, అంటే I + II చేయగా

(a + b) + (a - b) = ధనాత్మకము

a ధనాత్మకముగా ఉంటుంది

రెండు ప్రకటనలు కలిసి a ధనాత్మకముగా ఉన్నాయని రుజువు చేస్తాయి

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