| The graphs of \[x+2y=3\] and \[3x-2y=1\]meet the Y-axis at two points having distance |
A) 8/3 units
B) 4/3 units
C) 1 unit
D) 2 units
E) None of these
Correct Answer: D
Solution :
| \[x+2y=3\]meets Y-axis at \[\left( 0,\,\,\frac{3}{2} \right)\] |
| and \[3x-2y=1\] meets Y-axis at \[\left( 0,\,\,\frac{-1}{2} \right)\] |
| Distance \[=\sqrt{{{\left( \frac{3}{2}+\frac{1}{2} \right)}^{2}}+{{0}^{2}}}=\sqrt{{{2}^{2}}+0}=2\,\text{units}\] |
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