Home
Class 11
MATHS
If a^(2)+4b^(2)-9c^(2)=4ab, then the lin...

If `a^(2)+4b^(2)-9c^(2)=4ab`, then the line on which is meet the point of concurrency of family of straight line ax+by+3c=0 lies is

A

x+y=-1

B

x+y=1

C

x+y=3

D

2x-y=0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)|64 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)|55 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -II|105 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

If a^2+b^2-c^2-2ab , then the point of concurrency of family of straight lines ax+by+c=0 lies on line

The point of concurrence of the lines (2a+5b)x+(3a-2b)y-5a-3b=0 is

If a,b,c are in Hp. (a,b,c!=0 point of concurrence of family of lines x/a+y/b+1/c=0 is

The point of concurrence of the lines (3k+1) x-(2k+3)y+(9-k)=0 is

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

If 6a^2-3b^2-c^2+7ab-ac+4bc-0 , then the family of lines ax+by+c=0 is concurrent at

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

AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE EXERCISE
  1. The equation of the diagonal passing through the origin of the paralle...

    Text Solution

    |

  2. If 2x^(2)-5xy+3y^(2)=0 represents two adjacent sides of a parallelogra...

    Text Solution

    |

  3. The equation to pair of opposite sides of a parallelogram are x^(2)-7x...

    Text Solution

    |

  4. If the pair of lines 6x^(2)+7xy+2y^(2)=0,6x^(2)+7xy+2y^(2)-5x-3y+1=0 f...

    Text Solution

    |

  5. If the pair of lines 2x^(2)-5xy+2y^(2)=0 forms a parallelogram with pa...

    Text Solution

    |

  6. The area of rectangle formed by the pair of lines xy-x-2y+2=0 and xy-3...

    Text Solution

    |

  7. Area of quadrilateral formed by two pair of lines x^(2)-y^(2)-3(x+y)=0...

    Text Solution

    |

  8. The condition that the lines joining origin to the points of intersect...

    Text Solution

    |

  9. The lines joining the origin to the points of intersection of x+2y=k w...

    Text Solution

    |

  10. The curve x^(2)+y^(2)+2gx+2fy+c=0 intercepts on the line lx+my=1, a le...

    Text Solution

    |

  11. The chord through (1, -2) cuts the curve 3x^(2)-y^(2)-2x+4y=0 in P and...

    Text Solution

    |

  12. A pair of perpendicular straight lines passes through the origin and a...

    Text Solution

    |

  13. Find the equation to the pair of lines joining the origin to the point...

    Text Solution

    |

  14. If the sum of the slopes of the lines given by x^(2)-2cxy-7y^(2)=0 is ...

    Text Solution

    |

  15. If one of the lines given by 6x^(2)-xy+4cy^(2)=0 is 3x+4y=0 then 'c' e...

    Text Solution

    |

  16. The Angle between the pair of lines x^(2)+4xy+y^(2)=0 is

    Text Solution

    |

  17. The distance between the pair of parallel lines 9x^(2)-24xy+16y^(2)-12...

    Text Solution

    |

  18. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of a...

    Text Solution

    |

  19. If the pairs of straight lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)...

    Text Solution

    |

  20. If a^(2)+4b^(2)-9c^(2)=4ab, then the line on which is meet the point o...

    Text Solution

    |