 ×     #### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
```
Find the number of integer values of m which makes the x coordinate of the point of intersection of lines 3x+ 4y=9 & y=mx+1 integer .

```
3 years ago

```							Coordinates of the point of intersection of the lines y = mx + 1 ------ (1)and 3x + 4y = 9 ------------ (2) is the solution set of the equations.Substituting the value of y in equation (2),3x + 4(mx + 1) = 93x + 4mx + 4 = 9x(4m + 3) = 5x = 5 / (4m + 3)Case (i)If 4m + 3 = 5⇒ 4m = 2⇒ m = 1/2Case (ii)If 4m + 3 = - 5⇒ 4m = - 8⇒ m = - 2Case (iii)If 4m + 3 = 2⇒ 4m = -1⇒ m = -1/4Therefore, integral value of m is -2 for which the x-coordinate of the point of intersection of lines is an integer.
```
3 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Analytical Geometry

View all Questions »  ### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution  ### Course Features

• 53 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions