Home
Class 11
MATHS
Show that the feet of the perpendicular ...

Show that the feet of the perpendicular from `(-2,-8)` to the lines `x-2y+6=0,x-7y+6=0` and `x+3y-4=0` are collinear.

Text Solution

Verified by Experts

The correct Answer is:
are colinear.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|12 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE 3.1 (VERY SHORT ANSWER QUESTIONS)|11 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

Prove that the feet of the perpendicular from the origin on the lines x+y=4,x+5y=26, 15x-27y=424 are collinear.

The two lines 2x+y-6=0 and 4x-2y-4=0 intersect at……

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

The line x-y-2=0, x+y-5=0 and x+3y=6 meet in the common point

The lines represented by 5x+7y-14=0 and 10x+3y-8=0 are …………lines.

The product of perpendiculars from origin to the pair of lines 2x^(2)+5xy+3y^(2)+6x+7y+4=0 is

AAKASH SERIES-STRAIGHT LINES-SOLVED EXAMPLES
  1. Find the incenter of the triangle formed by the straight lines y=sqrt(...

    Text Solution

    |

  2. Find the incentre of the triangle formed by x+y-7=0,x-y+1=0,x-3y+5=0.

    Text Solution

    |

  3. A triangle is formed by the lines ax+by+c=0, lx+my+n=0 and px+qy+r=0. ...

    Text Solution

    |

  4. The Cartesian equation of the sides BC,CA, AB of a triangle are respec...

    Text Solution

    |

  5. Find the acute angle between the lines y+2=0 and sqrt(3)x+y-1=0.

    Text Solution

    |

  6. Find the value of k if the lines 2x+ky-10=0 and 5x+2y-7=0 are parallel...

    Text Solution

    |

  7. Find the value of k if the lines (3x+4y+5)-k(x+y+3)=0 is (i) paral...

    Text Solution

    |

  8. The lines 3x-ky-2=0 and 2x+y+2=0 are perpendicular find k.

    Text Solution

    |

  9. The angle between the lines 3x-y-1=0 and 2x+ky+5=0 is 45^(@) find k

    Text Solution

    |

  10. Find the angles of the triangle whose sides are x+y-4=0, 2x+y-6=0, 5x+...

    Text Solution

    |

  11. If the four straight lines ax+by+p=0, ax+by+q=0, cx+dy+r=0 and cx+dy+s...

    Text Solution

    |

  12. Find the foot of the perpendicular drawn from (-1,3) on the line 5x-y-...

    Text Solution

    |

  13. Show that the feet of the perpendicular from (-2,-8) to the lines x-2y...

    Text Solution

    |

  14. Find the image of (1-2) in the line 2x-3y+5=0.

    Text Solution

    |

  15. x+y=4 is the perpendicular bisector of bar(AB) where A=(3,-3) Find B.

    Text Solution

    |

  16. Find the product [{:(0,c,-b),(-c,0,a),(n,-a,0):}][{:(a^2,ab,ac),(ab,b^...

    Text Solution

    |

  17. The hypotenuse of a right angled isosceles triangle has its ends at th...

    Text Solution

    |

  18. A line is such that its segment between the lines 5x-y+4=0 and 3x+4y-4...

    Text Solution

    |

  19. An equilateral triangle has its incentre at the origin and one side as...

    Text Solution

    |

  20. A ray of light coming from the point (1,2) is reflected at a point A o...

    Text Solution

    |