UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

Learn more
1. Show that the straight lines \(x - 2y + 3 = 0\) and \(6x + 3y + 8 = 0\) are perpendicular.
 
Answer:
 
Slope of \(x - 2y + 3 = 0\) is ii.
 
Slope of \(6x + 3y + 8 = 0\) is .
 
Since \(m_1 \times m_2\) , then the given lines are .
 
2. Find the equation of a straight line which is parallel to the line \(3x - 7y = 12\) and passing through the point \((6,4)\).
 
Answer:
 
The equation of the straight line is .
 
3. Find the equation of a straight line perpendicular to the line \(y= \frac{4}{3}x - 7\) and passing through the point \((7,-1)\).
 
Answer:
 
The equation of the straight line is .