Question

JEE MAIN & ADVANCED 1. The point of intersection of the lines x + y - 1 = 0, x - y - 1 = 0 is 1) (0, 1) 2) (1, 0) 3) (0, 0) 4) (1, 2) 0, x + 3y = 6 meet at the point​

Answer 1

Answer:

Correct option is

B

(1,0)

Given equations are:

x+y=1

x−y=1

⇒y=−x+1

⇒y=x−1

⇒−x+1=x−1

⇒−2x=−2

⇒x=1

Now putting x=1 in x+y=1

⇒1+y=1

⇒y=0

Hence the intersection point of line is (1,0)

Answer 2

Answer:

Correct option is

B  (1,0)

Explanation:

Given equations are:

x+y=1

x−y=1

⇒y=−x+1

⇒y=x−1

⇒−x+1=x−1

⇒−2x=−2

⇒x=1

Now putting x=1 in x+y=1

⇒1+y=1

⇒y=0

Hence the intersection point of the line is (1,0)