Home
Class 12
MATHS
Find the value of a for which the li...

Find the value of `a` for which the lines `2x+y-1=0`, `a x+3y-3=0`, `3x+2y-2=0` are concurrent.

A

-3

B

-1

C

1

D

infinite value

Text Solution

Verified by Experts

The correct Answer is:
infinite
First and third line intersect at (0,1).
This point also satisfies the second line for all real values of a.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise EXERCISE (LINKED COMPREHENSION TYPE)|27 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise EXERCISE (MATRIX MATCH TYPE)|8 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise EXERCISE (SINGLE CORRECT ANSWER TYPE)|82 Videos

  • STRAIGHT LINE

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

Similar Questions

Explore conceptually related problems

The lines 2x-y-1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent for

The values of k for which lines kx + 2y + 2 = 0, 2x + ky + 3 = 0, 3x + 3y + k = 0 are concurrent are

Find the value of lambda , if the line 3x-4y-13=0,8x-11 y-33=0a n d2x-3y+lambda=0 are concurrent.

Prove that the lines 2x-3y-7=0,3x-4y-13=0 and 8x-11y-33=0 are concurrent.

Find for what value of k the three straight lines 4x-3y=1 , 3x-4y+1=0 and kx-7y +3=0 are concurrent .

The set of real values of k for which the lines x + 3y +1=0, kx + 2y-2=0 and 2x-y + 3 = 0 form a triangle is

Examine whether the striaght lines x-y+4=0,2x+3y-6=0 and 8x+7y-26=0 are concurrent or not.

Find the value of p so that the three lines 3x + y - 2 = 0, px + 2y - 3 = 0 " and " 2x - y - 3 = 0 may intersect at one point.

Find the acute angle between the lines 7x-4y =0 and 3x-11y +2=0.

If the straight lines x+q=0 , y-2 =0 and 3x+ 2y+5=0 are concurrent, then the value of q is-

CENGAGE PUBLICATION-STRAIGHT LINES-EXERCISE (MULTIPLE CORRECT ANSWERS TYPE)
  1. The straight line 3x+4y-12=0 meets the coordinate axes at Aa n dB . An...

    Text Solution

    |

  2. The equation of the lines passing through the point (1,0) and at a dis...

    Text Solution

    |

  3. The sides of a triangle are the straight lines x+y=1,7y=x , and sqrt(3...

    Text Solution

    |

  4. If the straight line a x+c y=2b , where a , b , c >0, makes a triangle...

    Text Solution

    |

  5. Consider the equation y-y1=m(x-x1) . If ma n dx1 are fixed and differe...

    Text Solution

    |

  6. Equation(s) of the straight line(s), inclined at 30^0 to the x-axis su...

    Text Solution

    |

  7. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are ...

    Text Solution

    |

  8. The equation of a straight line passing through the point (2, 3) and ...

    Text Solution

    |

  9. Find the equation of a straight line on which the perpendicular from ...

    Text Solution

    |

  10. A line is drawn perpendicular to line y=5x , meeting the coordinate ax...

    Text Solution

    |

  11. If x-2y+4=0a n d2x+y-5=0 are the sides of an isosceles triangle having...

    Text Solution

    |

  12. Find the value of a for which the lines 2x+y-1=0, a x+3y-3=0, 3x...

    Text Solution

    |

  13. The lines px +qy+r=0, qx + ry + p =0,rx + py+q=0, are concurrant then

    Text Solution

    |

  14. theta1 and theta2 are the inclination of lines L1 and L2 with the x-ax...

    Text Solution

    |

  15. Consider the lines L(1) -=3x-4y+2=0 " and " L(2)-=3y-4x-5=0. Now, choo...

    Text Solution

    |

  16. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0....

    Text Solution

    |

  17. Two straight lines u=0a n dv=0 pass through the origin and the angle b...

    Text Solution

    |

  18. Let u=a x+b y+a ^3sqrt(b)=0,v=b x-a y+b^3sqrt(a)=0,a ,b in R , be two...

    Text Solution

    |

  19. Two sides of a triangle are parallel to the coordinate axes. If the ...

    Text Solution

    |

  20. A line which makes an acute angle theta with the positive direction of...

    Text Solution

    |