यदि n समीकरण x2 + px + m = 0 का एक मूल है और m समीकरण x2 + px + n = 0 का एक मूल है, जहाँ m ≠ n है, तो p + m + n का मान क्या है?

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Option 3 : 1
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NDA 01/2025: English Subject Test
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गणना:

दिया गया है,

n समीकरण x2 + px + m = 0 ​का मूल हैx2+px+m=0x2+px+m=0x2+px+m=0x2+px+m=0x2+px+m=0x2+px+m=0

..... (1)

साथ ही, m समीकरण x2 + px + n = 0 का मूल है

..... (2)

अब समीकरण (1) - समीकरण (2), हमें प्राप्त होता है

..... ( n ≠ m)

⇒ n + m + p = 1

∴ विकल्प (c) सही है।

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