Question

determine X so that the line passes through 3, 4 and X,5 Max 135 angle with the positive direction of x axis
Class 11

Answer 1

Answer:

2

Step-by-step explanation:

Given that the line passes A(3,4) and B(x,5).

Here, x₁ = 3, x₂ = x, y₁ = 4, y₂ = 5.

Slope = m = tan (135°)

                 = tan(90 + 45)

                 = -cot(45)

                 = -1

We know that m = (y₂ - y₁)/(x₂ - x₁)

1 = (5 - 4)/(x - 3)

x - 3 = 5 - 4

x - 3 = -1

x = 2.

Therefore, the value of x = 2.

Hope it helps!

Answer 2

Answer:

x=2

Step-by-step explanation:

tantheta = 135 = -1.

Slope, m = (y2 - y1)/(x2 - x1)

-1 = (5 - 4)/(x-3)

x - 3 = 5 - 4

x = 2