Home
Class 12
MATHS
Show that the lines x-7y-22=0, 3x+4y+9=0...

Show that the lines `x-7y-22=0, 3x+4y+9=0` and `7x+y-54=0` form a right angled isosceles triangle.

A

form an equilateral triangle

B

are concurrent

C

form an isosceles triangle

D

form a right angled isosceles triangle

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • 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-2)|7 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|119 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

Show that the straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form an isosceles triangle.

The straight line x+y=0, 3x+y-4=0 and x+3y-4=0 from a triangle which is

Find radical centre of three circles discribed on the three sides 4x-7y+10=0, x+y-5=0 and 7x+4y-15=0 of triangle as diameters .

Find the angle between the lines 2x+y+4=0 and y-3x=7

Find the angle between the lines 2x + y + 4 = 0 and y - 3x = 7

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.

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. The lines (a+b)x+(a-b)y=2ab, (a-b)x +(a+b)y=2ab , and x+y=0 form an is...

    Text Solution

    |

  2. Show that the straight lines (a-b)x+(b-c)y=c-a,(b-c)x+(c-a)y=a-b and (...

    Text Solution

    |

  3. Show that the lines x-7y-22=0, 3x+4y+9=0 and 7x+y-54=0 form a right an...

    Text Solution

    |

  4. The lines 2x-y-1=0, 3x-y-7=0, 3x-2y+4=0

    Text Solution

    |

  5. The straight lines 2x+3y=5 and 6x-4y+k=0, k in R are the sides of [if ...

    Text Solution

    |

  6. The equation of the line passing through (1, 1) and makes an angle pi/...

    Text Solution

    |

  7. The equation of a straight line passing through the point (1, 2) and i...

    Text Solution

    |

  8. The equations of the lines passing through (-10, 4) and making an angl...

    Text Solution

    |

  9. The equation of the straight line through the origin, whose intercept ...

    Text Solution

    |

  10. The equation of a straight line passing through (1, 2) and having inte...

    Text Solution

    |

  11. The equations of the lines passing through (4, 5) and making equal ang...

    Text Solution

    |

  12. ABCD is a parallelogram. Equations of overset(" "harr)(AB) and overset...

    Text Solution

    |

  13. The equation to the diagonal through the origin of the quadrilateral f...

    Text Solution

    |

  14. The points A(1,2),B(3,-4) are two vertices of the rectangle ABCD. The ...

    Text Solution

    |

  15. The diagonal of a square is 8x- 15y =0 and one vertex of the square is...

    Text Solution

    |

  16. If the opposite vertices of a square are (-2, 3) and (8, 5), then the ...

    Text Solution

    |

  17. The ends of the base of an isoceles triangle are at (2a, 0) and (0, a)...

    Text Solution

    |

  18. The foot of the perpendicular of the point (3, -5) in y-axis is

    Text Solution

    |

  19. The foot of the perpendicular of the point (-2, 5) in y+3=0 is

    Text Solution

    |

  20. If (2, -3) is the foot of the perpendicular from (-4, 5) on a line, th...

    Text Solution

    |