Home
Class 12
MATHS
If 4a^(2)+9b^(2)-c^(2)+12ab=0, then the ...

If `4a^(2)+9b^(2)-c^(2)+12ab=0`, then the set of lines `ax+by+c=0` pass through the fixed point

A

(1, 2), (-1, -2)

B

(2, 3), (-2, -3)

C

(2, -3), (-2, 3)

D

(1, -2), (-1, 2)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-2)|7 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|119 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

Similar Questions

Explore conceptually related problems

If 3a+2b+4c=0 then the lines ax+by+c=0 pass through the fixed point

If a+b+c=0 the straight line 2ax+3by+4c=0 passes through the fixed point

If a, b, c are in A.P, the lines ax+by+c=0 pass through the fixed point

Statement I: The points (a,0),(0,b) and (1,1) will be collinear if 1/a+1/b=1 Statement II: If 4a^(2)+9b^(2)-c^(2)+12ab=0 , then the family of lines ax+by+c=0 is either concurrent at (2,3) or at (-2,-3). Then which of the followng is true

Let a ne0,bne0 , c be three real numbers and L(p,q)=(ap+bq+c)/(sqrt(a^(2)+b^(2))), for all p,q in R . If L((2)/(3),(1)/(3))+L((1)/(3),(2)/(3))+L(2,2)=0 , then the line ax+by+c=0 always passes through the fixed point

If 4a^2+9b^2_c^2+12ab=0 then the family of straight lines ax+by+c=0 is concurrent at

If a,b,c are the three consecutive odd numbers then the line ax-by+c=0 passes through the fixed point

IF a,b,c are in A.P then the striaght line ax+by+c=0 will always pass through a fixed point. Find it.

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. If a, b, c are in A.P, then the lines ax+by+c=0

    Text Solution

    |

  2. If 3a+2b+4c=0 then the lines ax+by+c=0 pass through the fixed point

    Text Solution

    |

  3. If 4a^(2)+9b^(2)-c^(2)+12ab=0, then the set of lines ax+by+c=0 pass th...

    Text Solution

    |

  4. k is a nonzero constant. If k=(a+b)/(ab) then the straight line (x)/(a...

    Text Solution

    |

  5. The equations of the sides bar(BC), bar(CA), bar(AB) of a triangle ABC...

    Text Solution

    |

  6. The lines 2x+3y=6, 2x+3y=8 cut the X-axis at A, B respectively. A line...

    Text Solution

    |

  7. The number of lines that can be drawn through the point (-3, 4) at a d...

    Text Solution

    |

  8. The number of lines that can be drawn through the point (5,2) at a dis...

    Text Solution

    |

  9. The number of lines that can be drawn through the point (4, sqrt(13)) ...

    Text Solution

    |

  10. The number of lines that can be drawn through the point (4, -5) at a d...

    Text Solution

    |

  11. The centroid of the triangle formed by the lines x+y-1=0, x-y-1=0, x-3...

    Text Solution

    |

  12. The point on the line 2x-3y=5 which is equidistant from (1, 2) and (3,...

    Text Solution

    |

  13. The point on the line 3x+4y=5 which is equidistant from (1, 2) and (3,...

    Text Solution

    |

  14. Let a, b, c and d be non-zero numbers. If the point of intersection of...

    Text Solution

    |

  15. The circumcentre of a triangle with vertices (-2, 3), (2, -1), (4, 0)...

    Text Solution

    |

  16. The circumcentre of the triangle passing through (1,sqrt(3)), (1, -sqr...

    Text Solution

    |

  17. Find the circumcentre of the triangle whose sides are 3x-y-5=0, x+2y-4...

    Text Solution

    |

  18. The circumcentre of the triangle formed by the lines 3x-y-5=0, x+3y-5=...

    Text Solution

    |

  19. The incentre and excentres of the triangle formed by the lines x=0,y=0...

    Text Solution

    |

  20. The incentre and excentres of the triangle formed by the lines 3x+4y=0...

    Text Solution

    |