Question

Find thr acute angle between lines represented by: 3x²-7xy+4y²=0​

Answer 1

Correct Question

Find the acute angle between lines represented by: 3x²-7xy+4y²=0​

Answer

The given equation is 2x2 – 7xy + 3y2 = 0.

This can be written as 2x2 – 7xy + 3y2 = (2x – y)(x-3y)

Therefore, the given lines are (2x – y) = 0 and (x-3y) = 0.

Now, here, a = 2, h = 7/2 and b = 3.

Hence, the angle between the lines is given by tan θ = 2√{(7/2)2 – 6}/5 = 1.

Hence, θ = 45°.