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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

`x cos alpha + y sin x alpha = (10)/(sqrt(45)), alpha = Tan^(-1) sqrt2`

B

`x cos alpha+ y sin alpha = (14)/(sqrt(45)), alpha = pi + Tan^(-1) 2`

C

` x cos alpha + y sin alpha = (14)/( sqrt(45)), alpha = Tan^(-1) 2`

D

`x cos alpha + y sin alpha = (10)/(sqrt(45)), alpha = pi + Tan^(-1) sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
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