If the pair of equations 3x - y + 8 = 0 and 6x - ry + 16 = 0 represent coincident lines, then the value of 'r' is: (... | MCQ 1m | Maths | SuperPadhai

Linear Equations > Question

MCQ1 markYear: 2023EasyCBSE Class 10

linear-equationscoincident-linesconsistency

Question

If the pair of equations

3 x - y + 8 = 0

and

6 x - ry + 16 = 0

represent coincident lines, then the value of 'r' is:
(a)

- \frac{1}{2}

(b)

\frac{1}{2}

(c)

- 2

(d)

2

Solution

1

For coincident lines:

\frac{3}{6} = \frac{- 1}{- r} = \frac{8}{16}

, so

\frac{1}{2} = \frac{1}{r}

, giving

r = 2

+1 mark

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