Mathematics
The point of intersection of the lines x + y = 8 and x - y = 0 lies on the line mx - 2y = 0; the value of m is :
3
4
2
-2
Straight Line Eq
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Answer
Given,
1st Equation :
⇒ x + y = 8
⇒ x = 8 - y ……(1)
2nd equation :
⇒ x - y = 0
⇒ x = y ………(2)
Substituting value of x from equation (2) in (1), we get :
⇒ y = 8 - y
⇒ y + y = 8
⇒ 2y = 8
⇒ y = = 4.
From equation (2), we get :
⇒ x = y = 4.
Point of intersection of lines x + y = 8 and x - y = 0 is (4, 4).
Given, point of intersection lies on the line mx - 2y = 0.
Substituting values we get :
⇒ 4m - 2 × 4 = 0
⇒ 4m - 8 = 0
⇒ 4m = 8
⇒ m = = 2.
Hence, Option 3 is the correct option.
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