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Question

If the lines x+3y-9=0,4x+by-2=0 and 2x-y-4=0 are concurrent, then b is equal to.


A

-5

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B

5

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C

1

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D

0

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Solution

The correct option is A

-5


Explanation for the correct option:

Find the value of b.

In the question, the lines x+3y-9=0,4x+by-2=0 and 2x-y-4=0 are given.

We know that if the lines a1x+b1y+c1=0,a2x+b2y+c2=0 and a3x+b3y+c3=0 are concurrent , then a1b1c1a2b2c2a3b3c3=0.

So,

13-94b-22-1-4=0⇒1(-4b-2)-3(-16+4)-9(-4-2b)=0⇒-4b-2-3(-12)+36+18b=0⇒70+14b=0⇒b=-5

Therefore, the value of b is -5.

Hence, option (A) is the correct answer.


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