Embibe Experts Solutions for Chapter: Point and Straight Line, Exercise 1: BITSAT 2017

The larger of two angles made with the $X$-axis of a straight line drawn through $(1,2)$ so that it intersects the line $x+y=4$ at a point distant $\sqrt{6}/3$ from the point $(1,2)$ is

Straight lines $3x+4y=5$ and $4x-3y=15$ intersect at the point $A$. If point $B$ and $C$ are chosen on these two lines such that $AB=AC$, then the possible equation of the line $BC$ passing through the point $\left(1,2\right)$ is

$OPQR$ is a square and $M, N$ are the middle points of the sides $PQ$ and $QR$ respectively, then the ratio of the areas of the square and $\mathrm{\Delta }OMN$ is

Two equal sides of an isosceles triangle are $7x-y+3=0$ and $x+y-3=0$ and its third side passes through the point $(1,-10)$. The equation of the third side is

Line joining the points $(0,3)$ and $(5,-2)$ is a tangent to the curve $y=\frac{ax}{1+x}$, then