Find the locus of a point `P` which moves such that its distance from the line `y=sqrt(3)x-7` is the same as its distance from `(2sqrt(3),-1)`

Find the locus of a point `P` which moves such that its distance from the line `y=sqrt(3)x-7` is the same as its distance from `(2sqrt(3),-1)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

The point `(2sqrt(3),-1) " lies on the line y" = sqrt(3)x-7`
Therefore, locus of the point is a straight line perpendicular to the given line passing through the given point, i.e.,
`y + 1= -(1)/(sqrt(3))(x-2sqrt(3))`
or `x+sqrt(3)y =sqrt(3)`

4 views Answered 2023-02-05 15:29

Related Questions

If `P` is any point on the plane `l x+m y+n z=pa n dQ` is a point on the line `O P` such that `O PdotO Q=p^2` , then find the locus of the point `Qdot

2 Answers 5 Views

`int_(-1)^(1/2)(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))i se q u a lto` `(sqrt(e))/2(sqrt(3)+1)` (b) `(sqrt(3e))/2` `sqrt(3e)` (d) `sqrt(e/3)`

2 Answers 4 Views

The value of the definite integral `int_0^(pi/2)sqrt(tanx)dx` is `sqrt(2)pi` (b) `pi/(sqrt(2))` `2sqrt(2)pi` (d) `pi/(2sqrt(2))`

2 Answers 6 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

If `S=[((sqrt(3)-1)/(2sqrt(2)),(sqrt(3)+1)/(2sqrt(2))),(-((sqrt(3)+1)/(2sqrt(2))),(sqrt(3)-1)/(2sqrt(2)))], A=[(1,0),(-1,1)]` and `P=S ("adj.A") S^(T)

2 Answers 4 Views

If ` A(3/sqrt(2), sqrt(2))`, `B(-3/sqrt(2), sqrt(2)), C(-3/sqrt(2), -sqrt(2))` and `D(3 cos theta , 2 sin theta)` are four points . If the area of the

2 Answers 6 Views

If `y=e^(sqrt(x))+e^(-sqrt(x))` , then `(dy)/(dx)i se q u a lto` `(e^(sqrt(x)))/(2sqrt(x))` (b) `(e^(sqrt(x))-e^(-sqrt(x)))/(2x)` `1/(2sqrt(x))sqrt(y^

2 Answers 5 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

`min[(x_1-x^2)^2+(3+sqrt(1-x1 2)-sqrt(4x_2))],AAx_1,x_2 in R ,` is `4sqrt(5)+1` (b) `3-2sqrt(2)` `sqrt(5)+1` (d) `sqrt(5)-1`

2 Answers 6 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)