NDA_Math_2025_Q11

Question:

What is (p/q) equal to?

What is (p/q) equal to?

Options:

  • a) -tan a.tan 2a
  • b) -cot a.cot 2a
  • c) tan a.tan 2a
  • d) cot a.cot 2a
  • a) -tan a.tan 2a
  • b) -cot a.cot 2a
  • c) tan a.tan 2a
  • d) cot a.cot 2a

correct answer : c)

Explanation:

p
q
= tant an
cotc ot
2
2
αα
αα


=

tant an
tant an
2
11
2
αα
αα


= (tan tan) tan ·tan
(tan tan)
22
2
αα αα
αα


= tana . tan2a

p
q
= tant an
cotc ot
2
2
αα
αα


=

tant an
tant an
2
11
2
αα
αα


= (tan tan) tan ·tan
(tan tan)
22
2
αα αα
αα


= tana . tan2a

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