GMAT Quantitative Reasoning Practice Test 2

Question : 69 of 100

Marks: +1, -0

A (a, b) is the coordinates of the intersection between the lines:

(x+y-1=0)

and

(4 x-2 y=5) .

What is the shortest distance between

A(a, b)

and the coordinate

B ({25} / 6,{23} / 6)

Solution:

There is no need to draw the two lines. Multiply equation (1) by 2 and then add the equations to get:

6 x=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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