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Simplification problems

  • 1. Reflection of the point (-3,6) in the x-axis is

  • Options
  • A. (3,6)
  • B. (6,-3)
  • C. (-3,-6)
  • D. (-6,3)
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  • 2. The Simplified form of (b3x2a4z3)*(b4x3a3z2)/(a2b4z3) is

  • Options
  • A. b2x4a6z
  • B. b3x2a4z3
  • C. b3x5a5z2
  • D. bazx
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  • 3. If x = a cos?+ b sin? and y = b cos?- a sin?, then x2 + y2 is equal to

  • Options
  • A. ab
  • B. a2+b2
  • C. a2-b2
  • D. 1
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  • 4. If x = ?2+1, then the value of x4-1/x4

  • Options
  • A. 8?2
  • B. 18?2
  • C. 6?2
  • D. 24?2
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  • 5. If 9x2 + 16y2 = 60 and 3x + 4y = 6, then the value of xy is

  • Options
  • A. -1
  • B. 1
  • C. -2
  • D. 2
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  • 6. If cos?1-sin?+cos?1+sin? = 4 , then the value of ? (0°

  • Options
  • A. 60°
  • B. 45°
  • C. 30°
  • D. 35°
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  • 7. If 3.352 - (9.759 - x ) - 19.64 = 7.052, then what is the value of x?

  • Options
  • A. -6.181
  • B. 13.581
  • C. 33.099
  • D. 39.803
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  • 8. Square of (7 - 4x) is

  • Options
  • A. 16x2 - 28x + 49
  • B. 49 - 28x - 16x2
  • C. 49 - 56x - 16x2
  • D. 16x2 - 56x + 49
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  • 9. If 7 + 3x ? 5 - x/2 and 2x + 3 ? 5 - 2x; then x can take which of the following values?

  • Options
  • A. 0
  • B. 1
  • C. 2
  • D. -1
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  • 10. What will be the roots of the quadratic equation x2 - 25x + 156 = 0 ?

  • Options
  • A. 12, 13
  • B. 25, 1
  • C. 9, 16
  • D. 31, 6
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