Processing math: 100%
Home / Aptitude Tests / Mathematics / Find the distance be...
Find the distance between the point Q (4,3) and the point co...

Find the distance between the point Q (4,3) and the point common to the lines 2x - y = 4 and x + y = 2

A.

3√10

B.

3√5

C.

√26

D.

√13

Correct answer is D

2x - y .....(i)

x + y.....(ii)

from (i) y = 2x - 4

from (ii) y = -x + 2

2x - 4 = -x + 2

x = 2

y = -x + 2

= -2 + 2

= 0

x1 = 2

y1 = 0

x2 = 4

y2 = 3

Hence, dist. = (y2y1)2+(x2x1)2

= (30)2+(42)2

= 32+22

= 13