Jitender Gupta and Divya Malik Solutions for Exercise 3: CHAPTER EXERCISE

If the points $\left(2,-5\right)$, $\left(p-1,p+4\right)$ and $\left(4,3\right)$ are collinear, then the value of $p$.

Given two straight lines $kx-2y=5$ and $2x+3y+7=0$. If the given pair of lines is perpendicular, then find the value of $k$.

Find the value of $p$, if the lines $y=3x+7$ and $y+px=3$ are parallel to each other.

Find the value of $a$, if the lines $\frac{y}{2}=x-p \text{and} ax+5=3y$ are parallel to each other.

The side $\mathrm{AB}$ of a square $\mathrm{ABCD}$ is parallel to the $\mathrm{Y}-$axis as shown in the given figure.

Calculate the slope of $\mathrm{AD}$.

The side $\mathrm{AB}$ of a square $\mathrm{ABCD}$ is parallel to the $\mathrm{Y}-$axis as shown in the given figure.

Calculate the slope of $\mathrm{BD}$.

The side $AB$ of a square $ABCD$ is parallel to the Y-axis as shown in the given figure.

Calculate the slope of $AC.$ [Given,$\tan (90+\theta )=-cot\theta$] 

The equation of a line ${\alpha }_1$ is $y=-8$ 

Write the slope of the line ${\alpha }_2$ if ${\alpha }_2$, is the bisector of $\angle O$.