Home » GMAT » What is the shortest distance between A(a, b) and the coordinate B(25/6, 23/6)?
A(a, b) is the coordinates of the intersection between the lines:
(x + y 1 = 0) and (4x 2y = 5). What is the shortest distance between A(a, b) and the coordinate B(25/6, 23/6)?
A. 1.
B. 2.
C. 3.
D. 4.
E. 5.
Correct Answer: E
Explanation/Reference:
Explanation:
There is no need to draw the two lines. Multiply equation (1) by 2 and then add the equations to get:
6x = 7 x = 7/6, y = -1/6.
Draw a rectangular axis system and mark the point A and B. Complete the two points to a triangle so one of sides is 3 and the other is 4, the hypotenuse, which is also the requested length is 5.
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