Quantitative Aptitude Ques 499

Question: The graphs of $ x+2y=3 $ and $ 3x-2y=1 $ meet the Y-axis at two points having distance

Options:

A) 8/3 units

B) 4/3 units

C) 1 unit

D) 2 units

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ x+2y=3 $ meets Y-axis at $ ( 0,\frac{3}{2} ) $ and $ 3x-2y=1 $ meets Y-axis at $ ( 0,\frac{-1}{2} ) $ Distance $ =\sqrt{{{( \frac{3}{2}+\frac{1}{2} )}^{2}}+0^{2}}=\sqrt{2^{2}+0}=2,units $
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