Home
Class 12
MATHS
The straight lines 4a x+3b y+c=0 , where...

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

A

(4,3)

B

(1/4,1/3)

C

(1/2,1/3)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
The set of lines is 4ax+3by+c=0, where a+b+c=0.
Eliminating c, we get
4ax+3by-(a+b)=0
a(4x-1)+b(3y-1)=0
This passes through the intersection of the lines 4x-1=0 and 3y-1=0, i.e., x 1/4, y=1/3, i.e.,(1/4, 1/3).
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Multiple)|30 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Comprehension)|27 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise 2.6|5 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

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

The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a) (-1/3,2/3) (b) (-1/3,-2/3) (c) (1/3,2/3) (d) none of these

In A B C , if the orthocentre is (0,0) and the circumcenter is (1,2), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

The value of 3^((log)_4 5)-5^((log)_4 3) is 0 (b) 1 (c) 2 (d) none of these

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)

A triangle A B C with vertices A(-1,0),B(-2,3/4), and C(-3,-7/6) has its orthocentre at Hdot Then, the orthocentre of triangle B C H will be (-3,-2) (b) 1,3) (-1,2) (d) none of these

If f(x)=sin^6x+cos^6x , then range of f(x) is [1/4,1] (b) [1/4,3/4] (c) [3/4,1] (d) none of these

If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2x-y+sqrt(pz)+4=0 is such that sintheta=1/3 , then the values of p is (A) 0 (B) 1/3 (C) 2/3 (D) none of these

If a!=0 and the line 2b x+3c y+4d=0 passes through the points of intersection of the parabolas y^2=4a x and x^2=4a y , then (a) d^2+(2b+3c)^2=0 (b) d^2+(3b+2c)^2=0 (c) d^2+(2b-3c)^2=0 (d)none of these

CENGAGE-STRAIGHT LINES-Exercise (Single)
  1. about to only mathematics

    Text Solution

    |

  2. A light ray coming along the line 3x+4y=5 gets reflected from the line...

    Text Solution

    |

  3. The point A(2,1) is translated parallel to the line x-y=3 by a distanc...

    Text Solution

    |

  4. One of the diagonals of a square is the portion of the line x/2+y/3=2 ...

    Text Solution

    |

  5. The point P(2,1) is shifted through a distance 3sqrt(2) units measured...

    Text Solution

    |

  6. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

    Text Solution

    |

  7. In a triangle A B C , the bisectors of angles Ba n dC lies along the l...

    Text Solution

    |

  8. Line a x+b y+p=0 makes angle pi/4 with xcosalpha+ysinalpha=p ,p in R^...

    Text Solution

    |

  9. The equation of the line AB is y = x. If A and B lie on the same side ...

    Text Solution

    |

  10. The equation of the bisector of the acute angle between the lines 2x-y...

    Text Solution

    |

  11. The straight lines 4a x+3b y+c=0 , where a+b+c (4,3) (b) (1/4,1/3...

    Text Solution

    |

  12. If the lines a x+y+1=0,x+b y+1=0a n dx+y+c=0(a ,b ,c being distinct...

    Text Solution

    |

  13. If lines x+2y-1=0,a x+y+3=0, and b x-y+2=0 are concurrent, and S is th...

    Text Solution

    |

  14. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

    Text Solution

    |

  15. If the straight lines 2x+3y-1=0,x+2y-1=0,and ax+by-1=0form a triangle ...

    Text Solution

    |

  16. If a/sqrt(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the fam...

    Text Solution

    |

  17. Distance possible to draw a line which belongs to all the given family...

    Text Solution

    |

  18. If two members of family (2+lambda)x+(1+2lambda)y-3(1+lambda) = 0 and ...

    Text Solution

    |

  19. The set of lines x tan^(- 1)a+ysin^(- 1)(1/(sqrt(1+a^2)))+2=0 where a...

    Text Solution

    |

  20. If sin(alpha+beta)sin(alpha-beta)=singamma(2sinbeta+singamma), where 0...

    Text Solution

    |