Home
Class 12
MATHS
If 6a^2-3b^2-c^2+7ab-ac+4bc=0 then the ...

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)

A

`(-2,-3)`

B

`(3,-1)`

C

`(2,3)`

D

`(-3,1)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
`6a^(2) -3b^(2) -c^(2) +7ab -ac +4bc =0`
`:. (2a +3b -c) (3a -b+c) =0`
`rArr -2a -3b +c=0` or `3a -b +c =0`
`:.` lines are concurrent at `(-2,-3)` or `(3,-1)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    CENGAGE|Exercise Comprehension Type|3 Videos

  • STATISTICS

    CENGAGE|Exercise JEE Previous Year|10 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise JEE Advanced Previous Year|4 Videos

Similar Questions

Explore conceptually related problems

2a+b+2c=0(a,b,c in R), then the family of lines ax+by+c=0 is concurrent at

If a^(2)+9b^(2)-4c^(2)=6ab, then the family of lines ax+by+c=0 are concurrent at:

If 25a^2 + 16b^2 – 40ab – c^2 = 0 , then the family of straight line 2ax + by + c = 0 is concurrent at

If 16a^(2)+25b^(2)-c^(2)=40ab, then the family of lines ax+by+c=0 is concurrent at the point(s)

If 4a^(2)+9b^(2)-c^(2)+12ab=0 then the family of straight lines ax+by+c=0 is concurrent at : (A)(-3,2) or (2,3)(B)(-2,3) or (2,-3)(C)(3,2) or (-3,-2)(D)(2,3) or (-2,-3)

The set of lines ax+by+c=0, where 3a+2b+4c=0, is concurrent at the point:

The set of lines ax+by+c=0 , where 3a+2b+4c=0 is concurrent at the point…

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 6a^(2)+12b^(2)+2c^(2)+17ab-10bc-7ac=0 then all the lines represented by ax+by+c=0 are concurrent at the point