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The equation of the straight line in the...

The equation of the straight line in the normal form which is parallel to the lines `x+2y+3=0` and `x+2y+8=0` and dividing the distance between there two lines in the ratio 1 : 2 internally is

A

`xcosalpha+ysinalpha=(10)/(sqrt(45)),alpha=tan^(-1)sqrt(2)`

B

`xcosalpha+ysinalpha=(14)/(sqrt(45)),alpha=pi+tan^(-1)2`

C

`xcosalpha+ysinalpha=(14)/(sqrt(45)),alpha=tan^(-1)2`

D

`xcosalpha+ysinalpha=(10)/(sqrt(45)),alpha=pi+tan^(-1)sqrt(2)`

Text Solution

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The correct Answer is:
B
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