Home
Class 12
MATHS
If the straight lines x+y-2-0,2x-y+1=0 a...

If the straight lines `x+y-2-0,2x-y+1=0` and `a x+b y-c=0` are concurrent, then the family of lines `2a x+3b y+c=0(a , b , c)` are nonzero) is concurrent at `(2,3)` (b) `(1/2,1/3)` `(-1/6,-5/9)` (d) `(2/3,-7/5)`

Text Solution

Verified by Experts

`|{:(1,1,-2),(2,-1,1),(a,b,-c):}| = 0`
or a+5b-3c=0
or `-(a)/(3)-(5)/(3)b+c = 0`
Hence, 2ax+3by+c=0 is concurrent at 2x = -1/3 and 3y=-5/3.
So, x=-1/6, y=-5/9.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Single)|82 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Multiple)|30 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise 2.5|8 Videos

  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

Similar Questions

Explore conceptually related problems

If the straight lines x+y-2-0,2x-y+1=0 and a x+b y-c=0 are concurrent, then the family of lines 2a x+3b y+c=0(a , b , c) are nonzero) is concurrent at (a) (2,3) (b) (1/2,1/3) (c) (-1/6,-5/9) (d) (2/3,-7/5)

If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concurrent, then k is

If the lines x−2y−6=0,3x+y−4=0 and λx+4y+λ^2=0 can be concurrent , then

If the lines 2x + y - 3 = 0 , 5x + ky - 3 = 0 " and " 3x - y - 2 = 0 are concurrent , find the value of k.

If the lines 3x + 4y+ 1 = 0, 5x +lambda y + 3 = 0 and 2x + y-1 = 0 are concurrent, then lambda=

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

The straight lines 4a x+3b y+c=0 , where a+b+c are concurrent at the point a) (4,3) b) (1/4,1/3) c) (1/2,1/3) d) none of these

The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent, if the straight line 35 x-22 y+1=0 passes through the point (a) (a , b) (b) (b ,a) (c) (-a ,-b) (d) none of these

If 6a^2-3b^2-c^2+7ab-ac+4bc=0 then the family of lines ax+by+c=0,|a|+|b| != 0 can be concurrent at concurrent (A) (-2,3) (B) (3,-1) (C) (2,3) (D) (-3,1)

Find the value of a for which the straight lines x+y-4=0,3x+2=0 and x-y+3a=0 are concurrent.