Question
Download Solution PDFQuestion: Is m > n if m, n are real numbers?
Statement-I:
m = (1 - p) (p2 + p + 1) and
n = (p + 1) (p2 - p + 1)
Statement-II:
m = pn
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Statement 1
m = (1 - p) (p2 + p + 1)
n = (p + 1) (p2 - p + 1)
Statement 2
m = pn
Formula:
a3 - b3 = (a - b) (a2 + b2 + ab)
a3 + b3 = (a + b)(a2 + b2 - ab)
Calculation:
Statement: 1
m = (1 - p) (p2 + p + 1)
By using the above identities
m = (1 - p3)
n = (p + 1) (p2 - p + 1)
By using the above identities
n = (p3 + 1)
Since, we don't know wether p is +ve, -ve, integer or fraction
We can not conclude the relation on m & n
Statement: 2 m = pn
Here also, relation b/w m & n depend on only P. therefore
∴ The correct answer is option D.
Last updated on May 29, 2025
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