Embibe Experts Solutions for Chapter: Pair of Straight Lines, Exercise 1: AP EAPCET 2018 (25-APR Shift-1)

The equation $8x^2-24xy+18y^2-6x+9y-5=0$ represents a

If the lines represented by the equation $2x^2-pxy+2y^2=0$ are real then the value of ' $p$ ' lies in the interval

If the centroid of the triangle formed by the lines $2y^2+5xy-3x^2=0$ and $x+y=k$ is $\left(\frac{1}{18},\frac{11}{18}\right)$, then the value of $\text{'}k\text{'}$ equals_____

If $\text{'}{m}_1\text{'}$ and $\text{'}{m}_2\text{'}$, $\left(m_1>m_2\right)$ are the slopes of the lines represented by $5x^2-8xy+3y^2=0$, then $m_1:m_2$ equals

If one of the lines represented by $a{x}^2+2hxy+b{y}^2=0$ passes through $(2,3)$ and the other passes through $(4,5)$, then $a+2 h+b$ equals

Find the angle between the pair of lines represented by the equation $x^2+4xy+y^2=0$.

If the acute angle between lines $a{x}^2+2hxy+b{y}^2=0$ is $\frac{\pi }{4}$, then $4h^2=$

The angle between the lines represented by $\cos \theta (\cos \theta +1)x^2-\left(2\cos \theta +{\sin }^2\theta \right)xy+$$(1-\cos \theta )y^2=0$ is