Locus of the points which are at equal distan | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(b) Let point be $({x_1},{y_1}),$then according to the condition $\frac{{3{x_1} + 4{y_1} - 11}}{5} = - \left( {\frac{{12{x_1} + 5{y_1} + 2}}{{13}}} \r

Vedclass · Accepted Answer

$99x + 77y - 133 = 0$

Vedclass · Answer

(b) Let point be $({x_1},{y_1}),$then according to the condition $\frac{{3{x_1} + 4{y_1} - 11}}{5} = - \left( {\frac{{12{x_1} + 5{y_1} + 2}}{{13}}} \right)$

Since the given lines are on opposite sides with respect to origin, hence the required locus is $99x + 77y - 133 = 0$ .

Locus of the points which are at equal distance from $3x + 4y - 11 = 0$ and $12x + 5y + 2 = 0$ and which is near the origin is

Similar Questions

A point moves such that its distance from the point $(4,\,0)$is half that of its distance from the line $x = 16$. The locus of this point is

The triangle formed by the lines $x + y - 4 = 0,\,$ $3x + y = 4,$ $x + 3y = 4$ is

If the middle points of the sides $BC,\, CA$ and $AB$ of the triangle $ABC$ be $(1, 3), \,(5, 7)$ and $(-5, 7)$, then the equation of the side $AB$ is

Two sides of a rhombus are along the lines, $x -y+ 1 = 0$ and $7x-y-5 =0.$ If its diagonals intersect at $(-1,-2),$ then which one of the following is a vertex of this rhombus?

Let the points $\left(\frac{11}{2}, \alpha\right)$ lie on or inside the triangle with sides $x + y =11, x +2 y =16$ and $2 x +3 y =29$. Then the product of the smallest and the largest values of $\alpha$ is equal to :