NDA MATHS QUESTION BANK

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  1. If tan A= 1/3 and tan B= 1/7,
    then what is the value of 2A+B?
    (a) 30 (b) 45 (c) 60 (d) 135

  2. What is the value of tan 10-
    tan 7- tan 3?
    (a) 0 (b) tan 20 (c) tan 10 tan
    7  tan 3 (d) 1

  3. If Ѳ+ø= π/6, what is the value


of (√ ) (√ )?
(a) 1 (b) - 1 (c) 4 (d) - 4



  1. The difference of two angles is
    1 ; the circular measure of their
    sum is 1. What is the smaller angle
    in circular measure?


(a) 0 1 (b) 0 1 (c)


0
1 (d)
0
1



  1. If =^ , then what is


the value of A+2B?
(a) π/2 (b) π/3 (c) π/4 (d) π/



  1. Given that cos 20- sin 20=p,
    what is the value of sin 40?
    (a) 1- (b) 1+ (c) (d)

  2. A is a certain positive acute
    angle which satisfies the following
    equation:
    Number of degrees in A + Number
    of radians in A= (180+π)/3 what
    is the angle A?
    (a) 20 (b) 40 (c) 60 (d) 80
    76. If + =0, then what
    is the value of?
    (a) – π/4 (b) 0 (c) π/4 (d) π/
    77. If sin 2A=^ , then what is the
    value of tan A. /?
    (a) 1 (b) - 1 (c) ½ (d) 2
    78. What is the value of
     
     ^?^
    (a) tan 35 (b) tan 10 (c) √^ (d)
    1
    79. If α and β are such that tan α=
    2 tan β, then what is sin (α+β)
    equal to?
    (a) 1 (b) 2 sin (α-β) (c) sin (α-β)
    (d) 3 sin (α-β)
    80. Let ABCD be a square and let P
    be a point on AB such that AP:PB=
    !:2. If APD= Ѳ, then what is the
    value of cos Ѳ?
    (a) √^ (b) √^ (c) √ (d) √^
    81. If x= α sec Ѳ cos ø, y= b sec Ѳ
    sin ø, z=c tan Ѳ, then what is


equal to?^
(a) 1 (b) 0 (c) - 1 (d)


  1. If α=^ , what is the value of cos
    α cos 2α cos 4α?
    (a) 0 (b)^ (c) 8 (d) 4

  2. If A, B and C are angles of a
    triangle such that tanA= 1, tan
    B=2, then what is the value of

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