Home
Class 11
MATHS
Acute angle between the lines represente...

Acute angle between the lines represented by `(x^2+y^2)sqrt(3)=4xy` is
(A) `pi/6` (B) `pi/4`
(C) `pi/3` (D) None of these

Text Solution

Verified by Experts

Let we have below two lines that represent the given equation.
`y-m_1x = 0` and `y-m_2x=0`
Combined equation of these two lines will be,
`(y-m_1x)(y-m_2x) = 0`
`y^2-(m_1+m_2)xy+m_1m_2x^2=0->(1)`
Now, the given equation is,
`(x^2+y^2)sqrt3 = 4xy`
`x^2+y^2 - 4/sqrt3xy = 0`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

The acute angle between the line represented by 2x^(2)+xy-y^(2)+x+4y-3=0 is

The acute angle theta between the lines represented by 3x^(2)-4sqrt(3)xy+3y^(2)=0 is

The angle between the tangents drawn from the point (1,4) to the parabola y^2=4x is (A) pi/6 (B) pi/4 (C) pi/3 (D) pi/2

The angle between the tangents drawn from the point (1,4) to the parabola y^2=4x is (A) pi/6 (B) pi/4 (C) pi/3 (D) pi/2

The angle between the tangents drawn from the point (1, 4) to the parabola y^2=4x is (A) pi/6 (B) pi/4 (C) pi/3 (D) pi/2

The angle between the planes 2x-y+z=6 and x+y+2z=7 is (A) pi/4 (B) pi/6 (C) pi/3 (D) pi/2

The angle between the plane 2x-y+z=6 nand x+y+2z=3 is (A) pi/3 (B) cos^-1 1/6 (C) pi/4 (D) pi/6

The angle between the plane 2x-y+z=6 nand x+y+2z=3 is (A) pi/3 (B) cos^-1 1/6 (C) pi/4 (D) pi/6

The angle between the tangents drawn from the point (1,4) to the parabola y^(2)=4x is (A) (pi)/(6)(B)(pi)/(4) (C) (pi)/(3) (D) (pi)/(2)