Straight LineHard
Question
The number of integer values of m, for which the x-coordinate of the poinr of interseection of the lines 3x + 4 y = 9 and y = mx + 1 is also an intrger, is
Options
A.2
B.0
C.4
D.1
Solution
On solving equations 3x + 4y = 9 and y = mx + 1, we get

Now, for x to be an integer,
3+ 4m =
5 or
1
The integral values of m satisfying these consitions are -2 and -1
Therefore, (a) is answer.

Now, for x to be an integer,
3+ 4m =
5 or
1The integral values of m satisfying these consitions are -2 and -1
Therefore, (a) is answer.
Create a free account to view solution
View Solution FreeMore Straight Line Questions
If the image of the point $P(1,2,a)$ in the line $\frac{x - 6}{3} = \frac{y - 7}{2} = \frac{7 - z}{2}$ is $Q(5,\text{ }b...The intercept made by line x cosα + y sinα = a on y axis is -...Tangents are drawn to the hyperbola , parallel to the straight line 2x - y = 1. The points ofcontact of the tangents on ...If a ray traveling along the line x = 1 gets reflected from the line x + y = 1 then the equation of the line along which...If we reduce 3x + 3y + 7 = 0 to the form x cos α + y sin α = p, then the value of p is...