Question

The x intercept of the line 2x – y = 10 is

(A) 5 (B) 10 (C) -10 (D) not defined​

Answer 1

Answer:

let the slope of required line be m

we know that, angle(θ) between two line with slopes m

1

andm

2

is given by

θ=tan

−1

∣

∣

∣

∣

∣

1+m

1

m

2

m

1

−m

2

∣

∣

∣

∣

∣

then tan

−1

2

1

=tan

−1

∣

1−2m

−2−m

∣

⟹−4−2m=1−2m⟹ m is not defined

also−4−2m=2m−1⟹4m=−3⟹m=

4

−3

let the lines be x=c

1

and 3x+4y=c

these lines pass through (2,3)

Thus, c

1

=2 and 6+12=c=18

Therefore, lines are x=2 and 3x+4y−18=0