समीकरण 𝐏 2 −𝟏𝟎𝐏 + 𝟐𝟓 = 𝟎 का एक मूल x है और [x/𝟓 = 𝟏𝟏/ [𝒛 +𝟏] है।

मात्रा I. 10z

मात्रा II. 100

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RRB PO Mains Memory Based Paper (Held On: 29 September 2024 Shift 1)
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  1. मात्रा I < मात्रा II

  2. मात्रा I > मात्रा II
  3. मात्रा I ≥ मात्रा II
  4. मात्रा I ≤ मात्रा II
  5. मात्रा I = मात्रा II या कोई संबंध नहीं

Answer (Detailed Solution Below)

Option 5 : मात्रा I = मात्रा II या कोई संबंध नहीं
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गणना

P− 10P + 25 = 0

⇒ (P−5)2 =0

⇒ P = 5

अतः दोनों मूल 5 हैं

⇒ x = 5

अब,

[x/5] = [11/ z+1]

⇒ 5/5 = 11/[z+1]

⇒ 1 = 11z + 1 ⇒ z + 1 =11

⇒ z = 10

मात्रा I: 10z = 10 × 10 = 100

मात्रा II: 100

दोनों मात्राएँ बराबर हैं।
मात्रा I = मात्रा II

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