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Question

The ratio in which the line 3x+4y+2=0 divides the distance between the lines 3x+4y=0 and 3x+4y5=0 is



A

1 : 2

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B

3 : 7

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C

2 : 3

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D

2 : 5

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Solution

The correct option is C

3 : 7


Here, in all equations the coefficient of x is same.

It means all the lines have same slope.

So, all the lines are parallel.

Now, the distance between the line 3x+4y+2=0 and 3x+4y+5=0 is given by

|25|32+42

=325=35

Again, the distance between the line 3x+4y+2=0 and 3x+4y5=0 is given by

|2+5|32+42

=725=75

Hence, the ratio is given by

35:75

=3:7

Hence, the correct answer is option (b).


Mathematics
RD Sharma
Standard XI

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