Home
Class 12
MATHS
The straight line through the point of i...

The straight line through the point of intersection of `ax + by+c=0` and `a'x+b'y+c'= 0` are parallel to the y-axis has the equation

A

`x(ab'-a'b)+(cb' - c'b)= 0`

B

`x (ab'+a'b)+(cb'+c'b)=0`

C

`y(ab'-a'b)+(c'a-ca')=0`

D

`y(b'+a'b)+(c'a+ca')=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 4|15 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|16 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|18 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Equation of a straight line passing through the point of intersection of x - y + 1 = 0 and 3x + y - 5 = 0 are perpendicular to one of them is

Find the equation of a straight line passing through the point of intersection of the lines : 3x +y-9 =0 and 4x + 3y-7=0 and perpendicular to the line 5x -4y + 1 =0.

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

A straight line through the point (2, 2) intersects the lines sqrt3x + y = 0 and sqrt3 x-y=0 at the points A and B. The equation to the line AB so that the triangle OAB is equilateral is ,

Find the equation of the line passing through the point of intersection of the lines x+5y+7=0 and 3x+2y-5=0 (a) parallel to the line 7x+2y-5=0

Find the equation of the straight line which passes through the intersection of the lines x-y-1=0 a n d 2x-3y+1=0 and parallel (i) x -axis (ii) y -axis (iii) 3x+4y=14.

Find the equation of the line passing through the point of intersection of x + 2y =5 and x - 3y = 7, and passing through the point : (0, -1).

Find the equation of the line passing through the point of intersection of the lines 4x + 7y-3 = 0 and 2x -3y +1=0 that has equal intercepts on the axes.

A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 and meets the coordinate axes at A and Bdot Show that the locus of the midpoint of A B is the curve 2x y(a+b)=a b(x+y)

Find the equation of the straight line passing through the intersection of : x +2y-3=0 and 3x+ 4y-7=0 and perpendicular to x + 3y+4=0.

ARIHANT MATHS-THE STRAIGHT LINES-Exercise For Session 3
  1. Locus of the point of intersection of lines x cosalpha + y sin alpha =...

    Text Solution

    |

  2. If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a ...

    Text Solution

    |

  3. If the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurre...

    Text Solution

    |

  4. The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...

    Text Solution

    |

  5. If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct ...

    Text Solution

    |

  6. If u=a1x+b1y+c1=0,v=a2x+b2y+c2=0, and (a1)/(a2)=(b1)/(b2)=(c1)/(c2), t...

    Text Solution

    |

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

    Text Solution

    |

  8. If the straight lines x+y-2=0,2x-y+1=0 and a x+b y-c=0 are concurrent,...

    Text Solution

    |

  9. The straight line through the point of intersection of ax + by+c=0 and...

    Text Solution

    |

  10. If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 a...

    Text Solution

    |

  11. Find the equations of the line through the intersection of 2x - 3y + 4...

    Text Solution

    |

  12. The locus of point of intersection of the lines x/a-y/b=m and x/a+y/b...

    Text Solution

    |

  13. The condition on a and b , such that the portion of the line a x+b y-1...

    Text Solution

    |

  14. If the lines (a-b-c) x + 2ay + 2a = 0 , 2bx + ( b- c - a) y + 2b = 0 ...

    Text Solution

    |

  15. If the lines ax+by+c=0, bx+cy+a=0 and cx+ay+b=0 (a, b,c being distinct...

    Text Solution

    |

  16. Find the equation of the straight line which passes through the inte...

    Text Solution

    |

  17. Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will repr...

    Text Solution

    |

  18. Prove that the family of lines represented by x(1+lambda)+y(2-lambda)+...

    Text Solution

    |

  19. Prove that (-a,-a/2) is the orthocentre of the triangle formed by the ...

    Text Solution

    |