Embibe Experts Solutions for Chapter: Straight Line, Exercise 1: MHT-CET 2020 (13-Oct Shift 1)

If $a,b,c$ are lengths of the sides $BC, CA$ and $AB$ respectively of $\Delta ABC$ and $H$ is any point in the plane of $∆ABC$ such that $a\overrightarrow{AH}+b\overrightarrow{BH}+c\overrightarrow{CH}=\overrightarrow{0}$, then $H$ is the

If $R$ is the circum radius of $\Delta ABC$ , then $Area\left(\Delta ABC\right)$ = ….

The line through the points $(1,4),(-5,1)$ intersects the line $4x+3y-5=0$ in the point

The equation of the line passing through the point $\left(-3,1\right)$ and bisecting the angle between coordinate axes is

$O (0, 0), A (1, 2), B (3, 4)$ are the vertices of $∆OAB.$ The joint equation of the altitude and median drawn from $O$ is

The acute angle included between the lines $x\sin \theta -y\cos \theta =5$ and $x\sin \alpha -y\cos \alpha +11=0$ is

The $y$-intercept of the line passing through $A\left(6,1\right)$  and perpendicular to the line $x-2y=4$ is …