Home
Class 11
MATHS
Prove that the slope of a line is invari...

Prove that the slope of a line is invariant under the translation of the axes.

Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|145 Videos
  • TRANSFORMATION FORMULAE

    RD SHARMA ENGLISH|Exercise All Questions|145 Videos

Similar Questions

Explore conceptually related problems

Prove that the area of a triangle is invariant under the translation of the axes.

Name two invariant points under reflection in the x-axis.

Verify that the area of the triangle with vertices (4,6), (7,10) and (1,-2) remains invariant under the translation of axes when the origin is shifted to the point (-2,1).

Calculate slope of shown line

Find the slope of a line whose inclination is 150^@

Find the slope of a line whose inclination is 150^@

Find the slope of a line whose inclination is 60^(@)

Find the slope of a line whose inclination is 45^(@)

Find the slope of a line whose inclination is 15^(@)

Find the slope of a line whose inclination is 30^(@)

RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Find the values of k for which the line (k-3)x-(4-k^2) y+k^2-7k+6=0 ...

    Text Solution

    |

  2. Find the equation of a line with slope 2 and the length of the perpe...

    Text Solution

    |

  3. Prove that the slope of a line is invariant under the translation of t...

    Text Solution

    |

  4. The line 2x-y = 5 turns about the point on it, whose ordinate and absc...

    Text Solution

    |

  5. Reduce the equation sqrt(3)x+y+2=0 to: (a) Slope intercept form and fi...

    Text Solution

    |

  6. Reduce the following equations to the normal form and find p\ a n d\ a...

    Text Solution

    |

  7. Reduce the following equations to the normal form and find p\ a n d\ a...

    Text Solution

    |

  8. Reduce the following equations to the normal form and find p\ a n d\ a...

    Text Solution

    |

  9. Reduce the following equations to the normal form and find p\ a n d\ a...

    Text Solution

    |

  10. Reduce the following equations to the normal form and find p\ a n d\ a...

    Text Solution

    |

  11. Put the equation x/a+y/b=1 to the slope intercept form and find its...

    Text Solution

    |

  12. Reduce the lines 3x-4y+4=0\ a n d\ 2x+4y-5=0 to the normal form and he...

    Text Solution

    |

  13. Show that the origin is equidistant from the lines 4x + 3y + 10 = 0; 5...

    Text Solution

    |

  14. Find the values of theta and p, if the equation xcostheta+ysintheta...

    Text Solution

    |

  15. Reduce the equation 3x-2y+6=0 to the intercept form and find the x\ a ...

    Text Solution

    |

  16. The perpendicular distance of a line from the origin is 5 units and it...

    Text Solution

    |

  17. Find the coordinates of the point of intersection of the lines 2x-y+3=...

    Text Solution

    |

  18. Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

    Text Solution

    |

  19. Find the equations of the medians of a triangle, the equations of whos...

    Text Solution

    |

  20. Show that the area of the triangle formed by the lines y=m1x+c1,""...

    Text Solution

    |