Home
Class 12
MATHS
A line passing through the points (a, 2a...

A line passing through the points `(a, 2a) and (-2, 3)` is perpendicular to the line `4x+3y+5=0` , find the value of `a`.

Text Solution

Verified by Experts

Let m1​ be the slope of the line joining` A(a,2a)` and `B(−2,3)`.
Then, `m_1​=(2a−3​. )/(a+2)`
Let m2​ be the slope of the line `4x+3y+5=0`. Then, `m_2​=−(4​)/(3)`
Since given lines are perpendicular. Therefore,
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Equation of a line passing through the point (2,3) and perpendicular to the line x+y+1=0 is :

The line passing through the point -1, 2, 3 and perpendicular to the plane x - 2y + 3z + 5 = 0 will be

A line passes through the point (2,2) and is perpendicular to the line 3x+y=3, then its y -intercept is

Find the tion of the line passing through the point (-2,-4) and perpendicular to the line 3x-y+5=0

Find the equation of the line passing through the point (2, 3) and perpendicular to the line 4x+3y=10.

If the line passing through the points (4,3) and (2,lambda) is perpendicular to the line y=2x+3, then lambda is equal to

Find the equation of the line passing through the point (0, 3) and perpendicular to the line x-2y+5=0.

Find the equation of a line passing through the point (-1,0) and perpendicular to the line x+5y=4 .

The combined equation of lines passing through the point (-1, 2) and perpendicular to the lines x+2y+3=0 and 3x-4y-5=0 is

The equation of line passing through the point (2, 3, 4) and perpendicular to plane 2x+3y+z+5=0 is