Home
Class 12
MATHS
If the straight lines ax + by + c= 0 , b...

If the straight lines ax + by + c= 0 , bx +cy + a = 0 and cx +ay + b =0 are concurrent , then prove that `a^(3)+b^(3)+c^(3)=3abc` .

Promotional Banner

Similar Questions

Explore conceptually related problems

If the lines ax + by + c = 0, bx + cy + a = 0 and cx + ay + b = 0 be concurrent, then:

If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0, cx + 4y + 1 = 0 are concurrent, then a, b, c are in

If the lines ax+by+c=0, bx+cy+a=0 and Cx+ay+b=0 are concurrent (a+b+cne0) then

If the three straight lines ax + 2y + 1 = 0, 3y + bx + 1 = 0 and cx+ 4y + 1=0 are concurrent, then show that- a. b, c are in AP.

If the lines ax+by+c=0, bx+cy+a=0 and cx+ay+b=0 (a, b,c being distinct) are concurrent, then

Prove that the straight lines ax+by+c=0,bx+cy+a=0and cx+ay+b=0 are concurrent if a+b+c=0.When a!=b!=c .

The lines ax+by+c=0, bx+cy+a =0, cx+ay+b =0 are concurrent when-

If the lines ax+by+c=0,bx+cy+a=0 and cx+ay+b=0 be concurrent,then: