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1111

Find the coordinates of the centre of the circle 4x\(^2\) + 4y\(^2\) − 5x + 3y −2 = 0

  • A. \(\frac{5}{8}\), \(\frac{- 3}{8}\)
  • B. \(\frac{-5}{8}\), \(\frac{3}{8}\)
  • C. \(\frac{5}{4}\), \(\frac{- 3}{4}\)
  • D. \(\frac{-5}{4}\), \(\frac{3}{4}\)
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1112

A and B are two independent events such that P(A) = \(\frac{2}{5}\) and P(A∩B) = \(\frac{1}{15}\)  find P(B)

  • A. \(\frac{1}{6}\)
  • B. \(\frac{1}{3}\)
  • C. \(\frac{2}{15}\)
  • D. \(\frac{3}{5}\)
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1113

The parallelogram PQRS has vertices P( -2, 3), Q(1, 4), R(2, 6) and S(-1, 5). Find the coordinates of the point of intersection of the diagonals.

  • A. (-1, 15)
  • B. (0, \(\frac{2}{15}\)
  • C. (0, 4\(\frac{1}{2}\))
  • D. (-\(\frac{1}{2}\), 3\(\frac{1}{2}\))
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1114

Find in surd form, the value of cos165°.

  • A. \(\frac{1}{4}\)(\(\sqrt{6}\) - \(\sqrt{2}\))
  • B. \(\frac{1}{4}\)(\(\sqrt{6}\) + \(\sqrt{2}\))
  • C. - \(\frac{1}{4}\)(\(\sqrt{6}\) - \(\sqrt{2}\))
  • D. -\(\frac{1}{4}\)(\(\sqrt{6}\) + \(\sqrt{2}\))
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1115

The mean and median of integers x,y, z, and t are 5 and z, respectively. If x< y< z< t and y = 4. Find (x + t)

  • A. 11
  • B. 10
  • C. 12
  • D. 8
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