Home
Class 12
MATHS
If a straight line L is perpendicular to...

If a straight line L is perpendicular to the line `4x-2y=1` and forms a triangle of area 4 square units with the coordinate axes, then an equation of the line L is

A

`2x+4y+7=0`

B

`2x-4y+8=0`

C

`2x+4y+8=0`

D

`4x-2y-8=0`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|168 Videos
  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos
  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos
  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos
  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

Similar Questions

Explore conceptually related problems

The equation of a straight line, perpendicular to 3x-4y=6 and forming a triangle of area 6 square units with coordinate axes, is

The equation of a straight line, perpendicular to 3x-4y=6 and forming a triangle of area 6 sq. units with coordinates axes, is

A straight line L is perpendicular to the line 5x-y=1 . The area of the triangle formed by the line L and coordinate axes is 5. The equation of the line L is

If a straight line perpendicular to 2x-3y+7=0 forms a triangle with the coordinate axes whose area is 3 sq. units, then the equation of the straight line(s) is

The equation to the line parallel to 2x+3y-5=0 and forming an area 4//3 sq. unit with the coordinate axes is

If the straight line ax+cy=2b, where a,b,c gt 0 , makes a triangle of area 2 sq. units with the coordinate axes, then

The equation of the straight line which is perpendicular to the line 5x-2y =7 and passing through the point of intersection of the lines 2x + 3y-1 =0 and 3x + 4y -6 = 0 is

The area of the triangle formed by the line x/5+y/4=1 with the coordinate axes is

The area of the triangle formed by the line x//4+y//6=1 with the coordinate axes is

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1A
  1. The equation of the line dividing the line segment joining the points ...

    Text Solution

    |

  2. The equation of the line dividing the line segments joining two pairs ...

    Text Solution

    |

  3. If a straight line L is perpendicular to the line 4x-2y=1 and forms a ...

    Text Solution

    |

  4. The equation to the line parallel to 2x+3y-5=0 and forming an area 4/...

    Text Solution

    |

  5. If a straight line perpendicular to 2x-3y+7=0 forms a triangle with th...

    Text Solution

    |

  6. The equation of a straight line, perpendicular to 3x-4y=6 and formin...

    Text Solution

    |

  7. The line 4x+3y+1=0 cuts the axes at A and B. The equation to the perpe...

    Text Solution

    |

  8. The perpendicular bisector of the line segment joining P(1, 4) and Q(k...

    Text Solution

    |

  9. The variable line x//a+y//b=1 is such that a+b=10. The locus of the mi...

    Text Solution

    |

  10. The ends of a rod of length l move on two mutually perpendicu...

    Text Solution

    |

  11. If one vertex of an equilateral triangle of side a lies at the origin ...

    Text Solution

    |

  12. Two equal sides of isosceles triangle are given by equation 7x-y+3=0 a...

    Text Solution

    |

  13. Two equal sides of an isoceles triangle are given by 7x-y+3=0 and x+y-...

    Text Solution

    |

  14. Two equal sides of an isoceles triangle are given by 7x-y+3=0 and x+y-...

    Text Solution

    |

  15. The perpendicular form of the line 3x+4y-5=0 is

    Text Solution

    |

  16. The locus of the midpoint of the protion of the line x cos alpha+y si...

    Text Solution

    |

  17. The algebraic sum of the perpendicular distances from A, B, C to a var...

    Text Solution

    |

  18. If the algebraic sum of the perpendicular distances from the points (2...

    Text Solution

    |

  19. A square of side "a" lies above the x-axis and has one vertex at the o...

    Text Solution

    |

  20. The distance of the point (2,3) from the line 2x-3y+9=0 measured along...

    Text Solution

    |