SATHEE: Straight Line Question 58

Straight Line Question 58

Question: The number of integral values of m, for which the x-co-ordinate of the point of intersection of the lines $ 3x+4y=9 $ and $ y=mx+1 $ is also an integer is [IIT Screening 2001]

Options:

A)2

B)0

C)4

D)1

Show Answer

Answer:

Correct Answer: A

Solution:

Solving $ 3x+4y=9,y=mx+1 $ we get $ x=\frac{5}{3+4m} $ x is an integer if $ 3+4m=1,-1,5,-5 $ \ $ m=\frac{-2}{4},\frac{-4}{4},\frac{2}{4},\frac{-8}{4} $ . So, m has two integral values.

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Straight Line Question 58

Question: The number of integral values of m, for which the x-co-ordinate of the point of intersection of the lines $ 3x+4y=9 $ and $ y=mx+1 $ is also an integer is [IIT Screening 2001]

Options:

Answer:

Solution:

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