Home
Class 12
MATHS
If a line perpendicular to 2 x-3 y+7=0 f...

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

A

`3 x+2 y=pm 7`

B

`3 x+2 y=pm 6`

C

`3 x+2 y=pm 8`

D

`3 x+2 y=pm 4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos
  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 154 sq. units. Then the equation of the circle is

If P M is the perpendicular from P(2,3) onto the line x+y=3 , then the coordinates of M are

The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq. units. Then the equation of the circle is:

If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of a circle of area 49 pi square units, then the equation of the circle is:

The area of the triangle formed by the coordinate axes and the line 4 x+5 y=20 is (in square units)

The three lines represented by y^(3)-4x^(2)y=0 form a triangle which is

If y= f(x) makes positive intercepts of 2 and 1 unit on x and y coordinate axes and encloses an area of 3/4 square unit with the axes then int_0^(2) d^(')(x) dx is

Equation of the line perpendicular to y=x and passing through (3,2) is

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

The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. units . The value of k will be :

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The lines 2 x+3 y=6,2 x+3 y=8 cut the x -axis at A, B respectively. A ...

    Text Solution

    |

  2. For all value of a and b the line (a+2 b) x+(a-b) y+(a+5 b)=0 passes...

    Text Solution

    |

  3. If a line perpendicular to 2 x-3 y+7=0 forms a triangle with the coord...

    Text Solution

    |

  4. If (-2,6) is the image of the point (4,2) with respect to the line L=0...

    Text Solution

    |

  5. If the lines 4 x+3 y-1=0, x-y+5=0 and k x+5 y-3=0 are concurrent, then...

    Text Solution

    |

  6. The point P is equidistant from A(1,3) B(-3,5) and C(5,-1) . Then P A=

    Text Solution

    |

  7. Suppose A, B are two points on 2 x-y+3=0 and P(1,2) is such that P A=P...

    Text Solution

    |

  8. The distance between the points (a cos theta, a sin theta) and (a cos ...

    Text Solution

    |

  9. If a point P moves such that its distance from the point A(1,1) and th...

    Text Solution

    |

  10. The area of the triangle formed by the lines x=0, y=0 and 3 x+4 y=12 i...

    Text Solution

    |

  11. If P M is the perpendicular from P(2,3) onto the line x+y=3, then the ...

    Text Solution

    |

  12. The equation of the line perpendicular to 5 x-2 y=7 and passing throug...

    Text Solution

    |

  13. The lines x-y-2=0 and x+y-4=0 and x+3 y=6 meet in the common point

    Text Solution

    |

  14. The consecutive sides of a parallelogram are 4 x+5 y=0 and 7 x+2 y=0 ....

    Text Solution

    |

  15. A point (-4,5) is the vertex of a square and one of its diagonals is 7...

    Text Solution

    |

  16. The centroid of the triangle ABC where A= (2,3), B= (8,10) and C= (5,...

    Text Solution

    |

  17. A variable line (x)/(a)+(y)/(b)=1 is such that a+b=4. The locus of the...

    Text Solution

    |

  18. The foot of the perpendicular from the point (2,4) upon x+y=4 is

    Text Solution

    |

  19. The vertices of triangle ar (6,0),(0,6) and (6,6). The distance betwee...

    Text Solution

    |

  20. The line joining A(2,-7) dand B(6,5) is divided into 4 equal parts by ...

    Text Solution

    |