the no of integral values of m for which x coordinate of point of intersection of the lines 3x+4y=9 and y=mx+1 is also an integer is?

Question

Vikas TU · Answer

Solve both eqns simply and take out (x,y) coordinates. put y = mx +1 in 3x + 4y – 9 = 0 U would get, 3x + 4(mx + 1) – 9 = 0 (3 + 4m)x = 6 x = > 6/(3 + 4m) and y = 6m/(3+4m) + 1 = > (7m +3)/(3+4m) Now for x to be integer, the modulus of denominator value should not be greater equals than 6. Therefore, (3+4m) less than equal to 6 and greater than -6 on solving m would satify as m = 0, -1 . simlarly do this for y coordinate.

Vaishnavi Malladi · Answer

given lines are 3x+4y=9 and y=mx+c on solving both the equations , we get x=5/4m+3 since =-coordinate is an integer, on solving these we get, m=-1,-2

ankit singh · Answer

and 3x + 4y = 9 ------------ (2) is the solution set of the equations. Therefore, integral value of m is -2 for which the x - coordinate of the point of intersection of lines is an integer . Dec 31, 2018

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

the no of integral values of m for which x coordinate of point of intersection of the lines 3x+4y=9 and y=mx+1 is also an integer is?

the no of integral values of m for which x coordinate of point of intersection of the lines 3x+4y=9 and y=mx+1 is also an integer is?

3 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Analytical Geometry

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship