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Find the distance between the point Q (4,3) and the point common to the lines…

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: Option D
Explanation

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 = 21
y4 = 01
x2 = 41
y2 = 3
Hence, dist. = (sqrt{(y_2 – y_1)^2 + (x_2 – x_1)^2})
= (sqrt{(3 – 0)^2}) + (4 – 2)2
= (sqrt{3^2 + 2^2})
= (sqrt{13})

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