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Post-UTME Mathematics 2011 Objective — Question 2

Question 2 of 11 from the Post-UTME Screening (Post-UTME) Mathematics 2011 Objective paper, with the correct answer and a full explanation.

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Find the tangent of the acute angle between the lines 2x+y=3 and 3x-2y=5

  • A. -7/4
  • B. 7/8
  • C. 7/4Correct
  • D. 7/2

Explanation

Using the formula tan(theta)=(m1-m2)/(1+m1m2) with gradients -2 and 3/2 gives a value closest to 7/4.

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