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Solution


Q.

The pair of equations ax + 2y = 9 and 3x + by = 18 represents parallel lines, where a, b are integers, if:
1 a = b  
2 3a = 2b
 
3 2a = 3b  
4 ab = 6  

Ans.

(4)

Given, ax + 2y = 9 and 3x + by = 18 represent parallel lines.
∴ a?/a? = b?/b? ≠ c?/c? ⇒ a/3 = 2/b ≠ -9/-18
⇒ a/3 = 2/b ⇒ ab = 6