Assertion :The lines $3 x + 4 y + 5 = 0$ and $6 x + 8 y + 10 = 0$ represent same line Reason: The lines with same slope represent same line

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is C Assertion is correct but Reason is incorrect
The respective coefficients of the variables and constant are in proportion $\frac{3}{6} = \frac{4}{8} = \frac{5}{10} = \frac{1}{2}$
So they represent same line..
If the lines have same slopes they need not represent same line. Even parallel lines have same slope.

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Assertion :The lines 3x+4y+5=0 and 6x+8y+10=0 represent same line Reason: The lines with same slope represent same line

The correct option is C Assertion is correct but Reason is incorrectThe respective coefficients of the variables and constant are in proportion 36=48=510=12So they represent same line..If the lines have same slopes they need not represent same line. Even parallel lines have same slope.

Assertion :The lines $3 x + 4 y + 5 = 0$ and $6 x + 8 y + 10 = 0$ represent same line Reason: The lines with same slope represent same line