Home
Class 11
MATHS
The line parallel to the x-axis and pass...

The line parallel to the x-axis and passing through the intersection of the lines `a x+2b y+3b=0` and `b x-2y-3a=0` , where `(a , b)!=(0,0)` ,is

A

below the x-axis at a distance of `2/3` from it

B

below the x-axis at a distance of `3/2` from it

C

above the x-axis at a distance of `2/3` from it

D

above the x-axis at a distance of `3/2` from it.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line parallel to the y-axis and drawn through the intersection of the lines : x-7y+5=0 and 3x+y=0.

Find the equation of the lines passing through the intersection of the lines : 3x+7y-7=0 and x-y+2=0 and with slope 5.

Find the equation of the line passing through the intersection of the lines : x+2y-3=0and 4x-y+7=0 and which is parallel to y-x + 10=0.

Find the equation of the line passing through the intersection of the lines x+2y-3=0 and 4x-y+7=0 and which is parallel to 5x+4y-20=0.

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x -7y + 5 = 0 and 3x + y = 0 .

Find the point of intersection of the straight lines : x= 0, 2x-y +3 =0.

Find the equation of a line passing through the intersection of the lines 2x + 3y- 2 = 0 and x-2y + 1 = 0 and having x-intercept equal to 3.

Find the equation of the line passing through the intersection of the lines 2x+3y-4=0 and x-5y+7=0 that has its x-intercept equal to -4.

Find the point of intersection of the straight lines : 2x + 3y-6 = 0, 3x - 2y-6= 0 .

Find the equation of the line passing through the intersection of the lines x + 2y - 3 = 0 and 4x - y + 7 = 0 and which is parallel to 5x - 4y - 20 = 0 .

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The eccentricity of an ellipse, with its centre the origin, is 1/2. If...

    Text Solution

    |

  2. If the line 2x+sqrt(6)y=2 touches the hyperbola x^(2)-2y^(2)=4, then t...

    Text Solution

    |

  3. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

  4. If non-zero numbers a,b,c are in H.P., then the straight line x/a+ y/b...

    Text Solution

    |

  5. If a vertex of a triangle is (1, 1) and the mid-points of two side thr...

    Text Solution

    |

  6. If the circles : x^2+ y^2+2ax + cy +a=0 and x^2+ y^2-3ax+dy -1=0 inter...

    Text Solution

    |

  7. A circle touches the X-axis and also touches the centre at (0,3) and r...

    Text Solution

    |

  8. If a circle passes through the point (a, b) and cuts the circle x^2+ y...

    Text Solution

    |

  9. An ellipse has OB as semi minor axis, F and F' its focii eccentricity ...

    Text Solution

    |

  10. The locus of a point P(alpha, beta) moving under the condition that th...

    Text Solution

    |

  11. A circle is given by x^2 + (y-1)^2 = 1, another circle C touches it ex...

    Text Solution

    |

  12. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

    Text Solution

    |

  13. A straight line through the point A(3,4) is such that its intercept be...

    Text Solution

    |

  14. If (a,a^(2)) falls inside the angle made by the lines y = x/2 , x gt ...

    Text Solution

    |

  15. If the lines 3x - 4y- 7 = 0 and 2x - 3y- 5 = 0 are two diameters of a ...

    Text Solution

    |

  16. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  17. The locus of the vertices of the family of parabolas y=(a^3x^2)/3+(a^2...

    Text Solution

    |

  18. Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...

    Text Solution

    |

  19. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  20. The equation of the common tangents to the parabola y = x^2 and y=- (x...

    Text Solution

    |