Home
Class 12
MATHS
If the distance of a point (x(1),y(1)) f...

If the distance of a point `(x_(1),y_(1))` from each of the two straight lines, which pass through the origin of coordinates, is `delta`, then the two lines are given by

A

`(ax+by)^(2)=d^(2)(x^(2)+y^(2))`

B

`(ay-bx)^(2)=d^(2)(x^(2)+y^(2))`

C

`(ax+by)^(2)=d^(2)(x^(2)+y^(2))`

D

`(ax+by)^(2)=d^(2)(x^(2)-y^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos
  • MATRICES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|26 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos

Similar Questions

Explore conceptually related problems

Which of the following straight lines passes through the origin?

The distance of a point (x_(1),y_(1)) from two straight lines which pass through the origin of coordinate s s p. Find the combined equation of these straight lines.

If distance of a point (x_(1),y_(1)) from each of two lines L_(1) and L_(2) , through the orign , is delta , then joint equation of L_(1) and L_(2) is

If the distance of a given point (alpha,beta) from each of two straight lines y = mx through the origin is d, then (alpha gamma- beta x)^(2) is equal to

The equation to the striaght lines passing through the origin and making an angle alpha with straight line y+x=0 are given by

Find the equation of the straight line which passes through the point (-1,0) and is parallel to the straight line y=2x+3.

Find the equation of the straight line which passes through the point (0,3) and is perpendicular to the straight line x+y+1=0

Combined equation of the two lines passing through the origin, forming an equilateral triangle with the line x+y+sqrt(3)=0 is

Find the equation of a straight line, which passes through the point (1,2) and which is parallel to the straight line 2x+3y+6=0

Find the equation of the straight line passing through the origin and the point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1.

MARVEL PUBLICATION-PAIR OF STRAIGHT LINES-TEST YOUR GRASP
  1. If the distance of a point (x(1),y(1)) from each of the two straight l...

    Text Solution

    |

  2. Joint equation of the X-axis and the bisector of the angle in the firs...

    Text Solution

    |

  3. If m is the slope of one fo the two lines jointly given by the equatio...

    Text Solution

    |

  4. If the two lines (3x-y)^(2)=k(x^(2)+y^(2)) are mutualy perpendiculart ...

    Text Solution

    |

  5. If kx+3y=0 is one of the two lines 5x^(2)+3xy-y^(2)=0 then k^(2)-9k=

    Text Solution

    |

  6. If one of the two lines 3x^(2)-kxy-y^(2)=0 bisects an angle between th...

    Text Solution

    |

  7. If the two lines kx^(2)+5xy+9y^(2)=0 are equally inclined with the cor...

    Text Solution

    |

  8. Combined equation of the two lines passing through the origin, forming...

    Text Solution

    |

  9. If the lines 3x^(2)-kxy-3y^(2)=0 and x+2y=8 form and isosceles triangl...

    Text Solution

    |

  10. Length of each leg of an isosceles right angled triangle, formed by th...

    Text Solution

    |

  11. If the equation kxy+10x+6y+4=0 represents a pair of lines then : k=

    Text Solution

    |

  12. If the angle between the lines ax^(2)+xy+by^(2)=0 is 45^(@), then

    Text Solution

    |

  13. If the equation ax^(2)+ay^(2)+2gx+2fy+c=0 represents a pair of lines t...

    Text Solution

    |

  14. If 3h^(2)=4ab, then the ratio of the slopes of the lines ax^(2)+2hxy+b...

    Text Solution

    |

  15. Lines represented by the equation 5x^(2)-2xy+2y^(2)=0 are

    Text Solution

    |

  16. If one of the lines kx^(2)+xy-y^(2)=0 bisects an angle between the co-...

    Text Solution

    |

  17. Measure of angle between the lines sqrt(2)(x^(2)+y^(2))=4xy is

    Text Solution

    |

  18. If the angle between the lines 3x^(2)-4y^(2)=0 is tan^(-1)k, then k=

    Text Solution

    |

  19. Joint equation of two lines through the origin and parallel to the pai...

    Text Solution

    |

  20. If the equation x^(2)+2hxy+2fy+c=0 represents a pair of lines, then

    Text Solution

    |