Home
Class 12
MATHS
If the lines ax+y+1=0, x+by+1=0 and x+y+...

If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct and different from 1) are concurrent the value of `1/(a-1)+1/(b-1)+1/(c-1)` is

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 3|13 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

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

If the lines ax+12y+1=0, bx+13y+1=0 and cx+14y+1=0 are concurrent, then a,b,c are in:

The lines x+(k-1)y+1=0 and 2x+k^2y-1=0 are at right angles if

The line (x-x_1)/0=(y-y_1)/1=(z-z_1)/2 is

If the straight lines a x + m ay + 1 =0 b x + ( m +1) by + 1 =0 cx + (m+2) cy +1 =0, m ne0 are concurrent, then a, b, c are in :

If the lines a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 cut the coordinae axes at concyclic points, then prove that a_1a_2=b_1b_2

Show that the straight lines : x-y-1=0, 4x + 3y = 25 and 2x-3y + 1 = 0 are concurrent.

If the lines (a-b-c) x + 2ay + 2a = 0 , 2bx + ( b- c - a) y + 2b = 0 and (2c+1) x + 2cy + c - a - b = 0 are concurrent , then prove that either a+b+ c = 0 or (a+b+c)^(2) + 2a = 0

If three lines whose equations are y = m_1x + c_1 , y = m_2x + c_2 and y = m_3x + c_3 are concurrent, then show that m_1(c_2 - c_3) + m_2 (c_3 -c_1) + m_3 (c_1 - c_2) = 0 .

If the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurrent, then a , b , c are in a. H.P. b. G.P. c. A.P. d. none of these