The lines y=x and y=mx cross at the point P. What is the sum of the positive integer values of m for which the coordinates of P ar

1 thought on “The lines y=x and y=mx cross at the point P. What is the sum of the positive integer values of m for which the coordinates of P ar”

1. Answer:

   I HOPE IT HELP YOU MARK ME AS BRAINLIST

   Step-by-step explanation:

   The number of integral values of m, for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=mx+1 is also an integer, is

   A

   2

   B

   0

   C

   4

   D

   1

   Answer

   Open in answr app

   Correct option is

   A

   2

   By solving both equations for x coordinate, we get

   mx+1=

   4

   9−3x

   ⇒4mx+4=9−3x

   Or, 3x+4mx+4=9

   Or, x=5/(3+4m)

   Since x has to be an integer, possible values of x are 5,−5,1,−1 for which,

   the denominator on R.H.S. has to be 1,−1,5,−5 respectively.

   Now, 3+4m=1,implies m=−0.5

   3+4m=−1, implies m=−1

   3+4m=5, implies m=0.5

   3+4m=−5, implies m=−2.

   Hence, two integral values of m are possible.

   Reply