D.K. Ramesh Kumar and C. V. Jayanna Solutions for Chapter: Pair of Straight Lines, Exercise 1: Exercise 1

In the equation $a{x}^2 + 2hxy + b{y}^2 = 0$ the condition $h^2 – ab = 0$ implies:

The acute angle between the pair of lines $\sqrt{3x^2} +\sqrt{3y^2} – 4xy = 0$ is:

The angle between the lines $x^2 + 4xy – y^2 = 0$ is:

The angle between the lines $\left(x^2+y^2\right) \sin 2\alpha ={\left(x \cos \theta – y \sin \theta \right)}^2$ is:

If one of the pair of lines $x^2+2xy \sec \theta +y^2=0$ is $x+\frac{y}{\tan \theta + sec \theta }$ the other line is:

The slopes of the pair of lines $12x^2–20xy+7y^2 = 0$ are:

If the lines $3x^2–xy+4k{y}^2 = 0$ are perpendicular, then $k =$

The distance between the point $\left(-3,-4\right)$ from the point of intersection of the lines $2x^2-xy+5y^2=0$ is