Home
Class 11
MATHS
Show that the lines 3x-4y+5=0,7x-8y+5=0 ...

Show that the lines 3x-4y+5=0,7x-8y+5=0 and 4x+5y=45 are concurrent. Also find their point of intersection.

Text Solution

AI Generated Solution

To show that the lines \(3x - 4y + 5 = 0\), \(7x - 8y + 5 = 0\), and \(4x + 5y = 45\) are concurrent, we will find the point of intersection of any two lines and check if this point lies on the third line. ### Step 1: Write down the equations of the lines The three lines are: 1. \(3x - 4y + 5 = 0\) (Line 1) 2. \(7x - 8y + 5 = 0\) (Line 2) 3. \(4x + 5y = 45\) (Line 3) ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the lines x-y=6, 4x-4y=20 and 6x+5y+8=0 are concurrent. Also find the point of intersection.

Show that the line x-y-6=0,4x-3y-20=0 adn 6x+5y+8=0 are concurrent.Also,find their common point of intersection.

Prove that the straight lines 4x+7y=9, 5x-8y+15=0 and 9x-y+6=0 are concurrent.

If the lines 3y+4x=1, y=x+5 and 5y+bx=3 are concurrent then b=

Show that the lines 2x + 3y - 8 = 0 , x - 5y + 9 = 0 and 3x + 4y - 11 = 0 are concurrent.

If the lines 3x+2y-5=0,2x-5y+3=0,5x+by+c=0 are concurrent then b+c=

The lines 3x+4y+7=0 and 4x+3y+5=0 are perpendicular.

5) 3x-4y=-7;5x-2y=0 find x and y