Question

The number of integer 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:

Solution

Correct option is

2

 ­   

  

Solving (i) and (ii) we get,   

x is an integer when m = –1, –2.

Hence, two values of m are possible.

SIMILAR QUESTIONS

Q1

Find the equation of the line passing through (ab) and parallel to px +qy + 1 = 0.  

Q2

Find the equation of the line perpendicular to 3x + 4y + 1= 0 and passing through (1, 1).

Q3

Find the distance of line h (x + h) + k (y + k) = 0 from the origin.

Q4

Determine the distance between the lines : 6x + 8y – 45 = 0 and 3x + 4y – 5 = 0.

Q5

The algebraic sum of the perpendicular distances from A(x1y1), B(x2,y2) and C(x3y3) to a variable line is zero, then the line passes through:

Q6

If A (cos α, sin α), B (sin α, –cos α), C (1, 2) are the vertices of a ΔABC, then as α varies the locus of its centroid is:

Q7

The image of point (1, 3) in the line x + y – 6 = 0 is: 

Q8

If t1t2t3 are distinct, then the points  are collinear if:

Q9

A and B are two fixed points. The vertex C of a Δ ABC moves such that cot A + cot B = constant. Locus of C is a straight line:

Q10

The vertices of a triangles are A (x1x1 tan α), B (x2x2 tan β) and C (x3,x3 tan γ). If the circumcentre of Δ ABC coincides with the origin and H (ab) be its orthocenter, then a/b is equal to: