Embibe Experts Solutions for Exercise 7: Assignment

If for a line the length of intercept on $x$-axis is $3$ and on $y$-axis is $6$ . Then which of the followings is/ are true.

If the point $P(p, q)$ is equidistant from the points $A(a+b, b-a)$ and $B(a-b, a+b)$, then

The equation of a bisector of the angle between the lines $y-q=\frac{2a}{1-a^2}\left(x-p\right)$ and $y-q=\frac{2b}{1-b^2}\left(x-p\right)$ is

The point of intersection of the lines $\frac{x}{p}+\frac{y}{q}=1$ and $\frac{x}{q}+\frac{y}{p}=1$ lies on the line

$ABC$ is an isosceles triangle whose base is $BC$. If $B$ and $C$ are $(a+b, b-a)$ and $(a-b, a+b)$ Then co-ordinates of $A$ may be

If two vertices of an equilateral triangle are $(1,1)$ and $(-1,-1)$ then the third vertex may be

If the lines $x+2 y+3=0, x+2 y-7=0$ and $2 x-y-4=0$ form three sides of a square, the equation of fourth side may be

Let $L_1$ be a straight line passing through $(0,0)$ and $L_2$ be $x+y=1$. If the intercepts made by the circle $x^2+y^2-x+3y=0$ on $L_1$ and $L_2$ are equal, then which of the following equations can represent $L_1$ ?