The value of k for which the system of equations 3x - y + 8 = 0 and 6x - ky + 16 = 0 has infinitely many solutions... | MCQ 1m | Maths | SuperPadhai

Linear Equations > Question

MCQ1 markYear: 2024EasyCBSE Class 10

linear-equationsinfinitely-many-solutionsconsistency

Question

The value of

k

for which the system of equations

3 x - y + 8 = 0

and

6 x - k y + 16 = 0

has infinitely many solutions, is

Solution

1

For infinitely many solutions:

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

+0.5 marks

2

\frac{1}{2} = \frac{1}{k} \Rightarrow k = 2

+0.5 marks

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