If (-2, 6) is the image of the point (4, 2) w | vedclass

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

Question

(C) Let the points be $D(4, 2)$ and $C(-2, 6)$. The line $L$ is the perpendicular bisector of the segment $CD$.Slope of the line $CD = \frac{6-2}{-2-4

Vedclass · Accepted Answer

$3x - 2y + 5 = 0$

Vedclass · Answer

(C) Let the points be $D(4, 2)$ and $C(-2, 6)$. The line $L$ is the perpendicular bisector of the segment $CD$.Slope of the line $CD = \frac{6-2}{-2-4} = \frac{4}{-6} = -\frac{2}{3}$.Since $L$ is perpendicular to $CD$,the slope of $L$ is $m = -\frac{1}{(-2/3)} = \frac{3}{2}$.The midpoint $O$ of $CD$ is $\left(\frac{4-2}{2}, \frac{2+6}{2}\right) = (1, 4)$.The equation of line $L$ passing through $(1, 4)$ with slope $\frac{3}{2}$ is:$y - 4 = \frac{3}{2}(x - 1)$$2y - 8 = 3x - 3$$3x - 2y + 5 = 0$.

If $(-2, 6)$ is the image of the point $(4, 2)$ with respect to the line $L = 0$,then $L$ is equal to

Similar Questions

If $\sin ^{-1}\left(\frac{3}{x}\right)+\sin ^{-1}\left(\frac{4}{x}\right)=\frac{\pi}{2}$,then $x$ is equal to

Identify the reaction for which $\Delta H \neq \Delta E$ :

The angle between the lines whose direction cosines satisfy the equations $l+m+n=0$ and $l^2+m^2-n^2=0$ is

Fossil $X$ is older than fossil $Y$ if

The geometry possessed by $[Ni(CO)_4]$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module