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Q.

If the pair of equations $2 x + 3 y - 5 = 0$ and $4 x + ky - 10 = 0$ has inifinite number of solutions, then:

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a

$k \neq \frac{3}{2}$

b

$k \neq 6$

c

$k = 6$

d

$k = \frac{3}{2}$

answer is B.

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Detailed Solution

$\frac{2}{4} = \frac{3}{k} = \frac{- 5}{- 10} \Rightarrow \frac{3}{k} = \frac{1}{2} ∴ k = 6$

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If the pair of equations 2x+3y−5=0 and 4x+ky−10=0 has inifinite number of solutions, then: