What is the distance between the two straight lines represented by th
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22 Dec 2024, 02:04
The lines of the form $\(a x+b y=c \& a x+b y=c_1\)$ are parallel lines $\&$ the distance between them is $\(\frac{\left|c-c_1\right|}{\sqrt{a^2+b^2\)$ (Note: - Modulus is put as the distance cannot be negative)
The given lines $3\( x+4 y=10 \& 6 x+8 y=10\)$ i.e. $\(3 x+4 y=5\)$ are parallel lines, so using the above formula we get the distance between them as $\(\frac{|10-5|}{\sqrt{3^2+4^2}\)=\(\frac{5}{5}\)\(=1\)$
Hence the answer is (B).