CAT Practice : Coordinate Geometry

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Find out the value of x.

Quadrilateral Basics

    Q.36: If PQ∥RS, find the value of x

    1. 7
    2. 3
    3. Both A & B
    4. None of these

 

  • Correct Answer
    Choice (C). Both A & B

Detailed Solution

If PQ∥RS =) ∆POQ ~ ∆ROS
=)
=) 13x - 31 = (x-2)(x+5)
=) 13x – 31 = x2 – 2x + 5x – 10
=) 13x – 31 = x2 + 3x – 10
=) x2 – 10x +21 = 0
=) x2 – 7x – 3x +21 = 0
=) x(x-7) -3(x-7) = 0
=) (x-3)(x-7) = 0
=) x = 3, 7
=) (C) Ans


Correct Answer: (C). = Both A & B



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Geometry is probably the most vital topic as far as CAT preparation is concerned. Geometry sets the stage for Trigonometry, Cogeo and Mensuration as well.