Equation of a Straight Line Perpendicular to a Straight Line

Q.

The equation of the perpendiculars drawn from the origin to the lines represented by the equation $2x^2-10xy+12y^2+5x-16y-3=0$ is

1. $6x^2+5xy+y^2=0$

2. $6y^2+5xy+x^2=0$

3. $6x^2-5xy+y^2=0$

4. None of these

Q. Find the value of ‘a’, if the line through (–2, 3) and (8, 5) is perpendicular to y = ax + 2

1. $-5$
2. $\frac{1}{5}$
3. $\frac{-1}{5}$
4. $5$

Q. Find the equation of a straight line passing through the origin and perpendicular to the straight line 2x + 3y - 7 = 0.
$\left[2Marks\right]$

Q. Find the value of p for which the lines $2x+3y-7=0$ and $4y-px-12=0$ are perpendicular to each other.

1. 4

2. -4

3. 6

4. -6

Q. Equation of the line passing through (–1, 1) and perpendicular to the line 2x + 3y + 4 = 0, is

1. 3x - 2y - 5 = 0
2. 3x - 2y - 5 = 0
3. 3x - 2y = 0
4. 3x+ 2y - 5 = 0