A straight line through the point `(2,2)` intersects the lines `sqrt(3)x+y=0` and `sqrt(3)x-y=0` at the point `A` and `B ,` respectively. Then find th

Question

A straight line through the point `(2,2)` intersects the lines `sqrt(3)x+y=0` and `sqrt(3)x-y=0` at the point `A` and `B ,` respectively. Then find th

A straight line through the point `(2,2)` intersects the lines `sqrt(3)x+y=0` and `sqrt(3)x-y=0` at the point `A` and `B ,` respectively. Then find the equation of the line `A B` so that triangle `O A B` is equilateral.

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Related Questions

Find the equation of a line which passes through the point `(1,1,1)` and intersects the lines `(x-1)/2=(y-2)/3=(z-3)/4a n d(x+2)/1=(y-3)/2=(z+1)/4dot`

2 Answers 5 Views

A particle straight line passes through orgin and a point whose abscissa is double of ordinate of the point. The equation of such straight line is :

2 Answers 5 Views

Find the equation of the straight line which passes through the origin and makes angle `60^0` with the line `x+sqrt(3)y+sqrt(3)=0` .

2 Answers 5 Views

A line intersects the straight lines `5x-y-4=0` and `3x-4y-4=0` at `A` and `B` , respectively. If a point `P(1,5)` on the line `A B` is such that `A P

2 Answers 5 Views

Find the equation of a straight line passing through the point `(-5,4)` and which cuts off an intercept of `sqrt(2)` units between the lines `x+y+1=0`

2 Answers 5 Views

If `a/(b c)-2=sqrt(b/c)+sqrt(c/b),` where `a , b , c >0,` then the family of lines `sqrt(a)x+sqrt(b)y+sqrt(c)=0` passes though the fixed point given b

2 Answers 5 Views

The equation of the lines passing through the point `(1,0)` and at a distance `(sqrt(3))/2` from the origin is `sqrt(3)+y-sqrt(3)` =0 `x+sqrt(3)y-sqrt

2 Answers 6 Views

Line AB passes through point (2,3) and intersects the positive x and y-axes at A(a,0) and B(0,b) respectively. If the area of `DeltaAOB` is 11. then t

2 Answers 6 Views

A set of parallel chords of the parabola `y^2=4a x` have their midpoint on any straight line through the vertex any straight line through the focus a

2 Answers 4 Views

The locus of the point `(sqrt(3h),sqrt(sqrt(3)k+2))` if it lies on the line `x-y-1=0` is straight line (b) a circle a parabola (d) none of these

2 Answers 5 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - y-2=0
`sqrt(3)x+y=0 " makes an angle of " 120^(@) " with OX, whereas"`
`sqrt(3)x-y=0 " makes an angle of " 60^(@) " with OX. Therefore, the required line is " y-2=0.`

5 views Answered 2023-02-05 15:29