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Question

The ordinate of a point is twice its abscissa and the point lies on the line 7x - 3y = 8. What are the coordinates of the point?


  1. (8,16)

  2. (2,4)

  3. (3,6)

  4. (6,3)


Solution

The correct option is A

(8,16)


Let, the abscissa x = k and the ordinate y = 2k.
Putting the value in the given equation:
7(k) - 3(2k) = 8
k=8
Thus, Abcissa x = k = 8 and ordinate y = 2k = 16.
Thus, the given point is (8,16). 

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