NDA_Math_2025_Q49

Question:

What is PN equal to?

What is PN equal to?

Options:

  • a) 3 2 a
  • b) 3 2 a
  • c) 3 4 a
  • d) 3 4 a
  • a) 3 2 a
  • b) 3 2 a
  • c) 3 4 a
  • d) 3 4 a

correct answer : b)

Explanation:

P
h
30°
M
45° 60°
NQR x b a
tan 60 ° = h
x Þ h = 3x
tan 45 ° =
h
QN Þ QN = h
tan 30 ° = h
PN
PN = h 3
h + a = h 3
h =
a
31-
=

a() 31
2
+
PN = h 3 = a()33
2
+

P
h
30°
M
45° 60°
NQR x b a
tan 60 ° = h
x Þ h = 3x
tan 45 ° =
h
QN Þ QN = h
tan 30 ° = h
PN
PN = h 3
h + a = h 3
h =
a
31-
=

a() 31
2
+
PN = h 3 = a()33
2
+

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