0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

If the three distinct lines x+2ay+a=0,x+3by+b=0 and x+4ay+a=0 are concurrent, then the point (a,b) lies on a :
  1. Circle
  2. Straight line
  3. Hyperbola
  4. Parabola

A
Straight line
B
Parabola
C
Circle
D
Hyperbola
Solution
Verified by Toppr

∣ ∣12aa13bb14aa∣ ∣=0
(3ab4ab)2a(ab)+a(4a3b)=0
2a22ab=0
(a)(ab)=0
Hence, it lies on a straight line.

Was this answer helpful?
1
Similar Questions
Q1
If the three distinct lines x+2ay+a=0,x+3by+b=0 and x+4ay+a=0 are concurrent, then the point (a,b) lies on a :
View Solution
Q2
If the three distinct lines x+2ay+a=0, x+3by+b=0 and x+4ay+a=0 are concurrent, then the point (a,b) lies on
View Solution
Q3
If the lines x+2ay+a=0,x+3by+b=0 and x+4cy+c=0 are concurrent, then a,b,c.
View Solution
Q4
If the line x+2ay+a=0,x+3by+b=0,x+4cy+c=0 are concurrent,then a,b,c are in.
View Solution
Q5
If the lines (abc)x+2ay+2a=0,2bx+(bca)y+2b=0 and (2c+1)x+2cy+cab=0 are concurrent, then find a+b+c
View Solution