Question

Find the value of k, if the line 3kx = 5 + 2y, will pass through: (i) (1, 1) (ii) (1, 2). (i) k = 3 ; (ii) k = 3 (i) k = 7/3 ; (ii) k = 3 (i) k = 3 ; (ii) k = 7/3 Can not be determined.

Answer 1

Here’s the answer. Hope it helps.

Answer 2

$Given \: equation \: of \: a\: line \: 3kx=5+2y$

$i) If \: the \: line \: passing \: through \: a \:point$

$(1,1 ) , then$

$3k \times 1 = 5 + 2 \times 1$

$\implies 3k = 7$

$\implies k = \frac{7 }{3} \: --(1)$

$ii) If \: the \: line \: passing \: through \: a \:point$

$(1,2 ) , then$

$3k \times 1= 5 + 2 \times 2$

$\implies 3k = 5 + 4$

$\implies 3k = 9$

$\implies k = \frac{9 }{3}$

$\implies k = 3 \: ---(2)$

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