Paper II Mathematics

  1. If , sin= and cos = , then sin is equal to
    (A) 
    (B) 
    (C) 
    (D) 
    (E) 
  2. The number of solutions of cos2θ = sinθ in (0,2π) is
    (A) 1
    (B) 2
    (C) 3
    (D) 4
    (E) 0

  3. The value of is equal to
    (A) 
    (B) 
    (C) 
    (D) 
    (E) 

  4. The value of tan 40° + tan 20° + √3 tan 20° is equal to
    (A) √12
    (B) 
    (C) 1
    (D) 
    (E) √3

  5. The period of the function ƒ (θ) = 4 + 4sin3θ – 3sinθ is
    (A) 
    (B) 
    (C) 
    (D) 
    (E) 

  6. The value of x in satisfying the equation sinxcosx = is
    (A) 
    (B) 
    (C) 
    (D) 
    (E) 

  7. The value of sin-1(cos(4095°)) is equal to
    (A) 
    (B) 
    (C) 
    (D) 
    (E) 

  8. If the distance between (2, 3) and –5, 2) is equal to the distance between (x, 2) and (1, 3), then the values of x are
    (A) –6, 8
    (B) 6, 8
    (C) –8, 6
    (D) –7, 7
    (E) –8, –6

  9. The line segment joining the points (4, 7) and (–2, –1) is a diameter of a circle. If the cirle intersects the x – axis at A and B, then AB is equal to
    (A) 4
    (B) 5
    (C) 6
    (D) 7
    (E) 8

  10. If the three points (0, 1), (0, –1) and (x, 0) are vertices of an equilateral triangle, then the values of x are
    (A) √3, √2
    (B) √3, –√3
    (C) –√5, √3
    (D) √2, –√2
    (E) √5, –√5

 

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