NDA_Math_2025_Q43

Question:

What is (p2 + q2 + r2) equal to?

What is (p2 + q2 + r2) equal to?

Options:

  • a) 1 2
  • b) 1
  • c) 3 2
  • d) 2 Direction for Questions (44-45): Consider the following for the two (02) items that follow: Let p = [sin a – sin(a – 90°)]. Solved Paper – 2025 (I)
  • a) 1 2
  • b) 1
  • c) 3 2
  • d) 2 Direction for Questions (44-45): Consider the following for the two (02) items that follow: Let p = [sin a – sin(a – 90°)]. Solved Paper – 2025 (I)

correct answer : c)

Explanation:

(p + q + r)2 = p2 + q2 + r2 + 2 (pq + qr + rp)
Þ 0 = p2 + q2 + r2 + 2 -
 
3
4
Þ p2 + q2 + r2 = 3
2

(p + q + r)2 = p2 + q2 + r2 + 2 (pq + qr + rp)
Þ 0 = p2 + q2 + r2 + 2 -
 
3
4
Þ p2 + q2 + r2 = 3
2

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