NDA MATHS QUESTION BANK

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(a) 225 (b) 240 (c) 210 (d)
None of these



  1. If tan A – tan B= x and cot B –
    cot A= y, then cot (A-B) is equal to:


(a)^ +y (b) (c)^ - (d)^ +^



  1. The maximum value of 3 cos Ѳ



  • 4 sin Ѳ is:
    (a) 3 (b) 4 (c) 5 (d) none of these



  1. If sin Ѳ + cos Ѳ= m and sec Ѳ +
    cosec Ѳ= n, then n(m+1)(m-1) is
    equal to:
    (a) m (b) n (c) 2m (d) 2n

  2. If tan Ѳ= - , then sin Ѳ is equal


to:
(a) – 4/5 but not 4/5 (b) – 4/5 or
4/5 (c) 4/5 but not – 4/5 (d)
none of these



  1. If sin ( )=^ and cos


(α+β)=^ , where α and β are


positive acute angles, then:
(a) α= 45, β= 15 (b) α= 15, β=
45  (c) α= 60, β= 15 (d) none of
these



  1. Which of the following
    relations is possible?


(a) sin Ѳ=^ (b) tan Ѳ= 1002 (c) c


os Ѳ= =^
, (p≠±1)^ (d) sec Ѳ=



  1. The value of A
    ( )^ + (


)^ is equal to:
(a) cos 4A (b) sin 4A (c) 1 (d)
none of these


  1. The value of cos 1 cos 2 cos
    3 .......cos 100 is equal to:
    (a) 1 (b) - 1 (c) 0 (d) none of
    these

  2. The value of^  

    ^ is equal to:^
    (a) 1 (b) - 1 (c) 0 (d) none of
    these

  3. The value of √ cosec 20 - sec
    20  is equal to:
    (a) 2 (b)^  (c) 4 (d)^ 

  4. If sin x + cosec x= 2, then what
    is the value of?
    (a) 2 (b) 4 (c) 8 (d) 16

  5. What is the value of tan 15+
    cot 15?
    (a) √ (b) 2√ (c) 4 (d) 2

  6. If A + B + C=^ , then what is the
    value of tan A tan B + tan B tan C +
    tan C tan A?
    (a) 0 (b) 1 (c) - 1 (d) tan A tan B
    tan C

  7. If ( )^
    ( )^ = k + x +
    , then what is the value of k?
    (a) 8 (b) 7 (c) 4 (d) 3

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