Home
Class 11
MATHS
Find the equation of the line whose perp...

Find the equation of the line whose perpendicular distance from the origin is 4 units and the angle which the normal makes with positive direction of x -axis is 15°.

Text Solution

Verified by Experts

The correct Answer is:
`x cos 15^(@) + y sin 15^(@) = 4`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|12 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|9 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Latest Exam MCQs|1 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the perpendicular drawn from the origin to the plane 2x+4y-5z=10 .

Obtain Equation of line which satisfy given condition : Perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive X -axis is 30°.

Find the equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of 120° with the positive direction of X -axis. Thinking Process : Equation of line which makes an angle alpha with positive side of X axis and whose length of perpendicular from origin p is given by x cos alpha+ y sin alpha = p .

Find equation of line L whose length of perpendicular from origin is 2 unit with slope (5)/(12) .

L : 3x + 2y-7 =0 (1) Reduce the above equation in slope intercept from. Find their slope and y -intercept. (2) Reduce the equation into intercept from. Find their intercepts on axis. (3) Reduce the equation in normal form and find perpendicular distance from origin and measure of an angle made by perpendicular with positive side of X -axis.

Find the equation of a line parallel to X- axis and passing through the origin.

Reduce the following equation in normal form. Find their perpendicular distances from origin and between perpendicular distance with positive side of X- axis : (iii) x-y=4

KUMAR PRAKASHAN-STRAIGHT LINES-Textbook Illustrations for Practice Work
  1. Write the equation of the lines for which tan theta = (1)/(2), where t...

    Text Solution

    |

  2. Find the equation of the line, which makes intercepts -3 and 2 on the ...

    Text Solution

    |

  3. Find the equation of the line whose perpendicular distance from the or...

    Text Solution

    |

  4. The fahrenheit temperature F and absolute temperature K satisfy the li...

    Text Solution

    |

  5. Equation of a line is 3x-4y+ 10 =0. Find its (i) slope,

    Text Solution

    |

  6. Equation of a line is 3x-4y+ 10 =0. Find its (ii) x -intercepts and ...

    Text Solution

    |

  7. Reduce the equation sqrt(3) x + y- 8=0 into normal form. Find the valu...

    Text Solution

    |

  8. Find the angle between the lines y- sqrt(3) x - 5 = 0 and sqrt(3) y - ...

    Text Solution

    |

  9. Show that two lines a(1) x + b(14) y + c(1) = 0 and a(2) x + b(2) y + ...

    Text Solution

    |

  10. Show that two lines a(1) x + b(14) y + c(1) = 0 and a(2) x + b(2) y + ...

    Text Solution

    |

  11. Find the equation of a line perpendicular to the line x-2y+ 3=0 and pa...

    Text Solution

    |

  12. Find the distance of the point (3, -5) from the line 3x - 4y - 26 = 0.

    Text Solution

    |

  13. Find the distance between the parallel lines 3x-4y+7=0 and 3x - 4y + 5...

    Text Solution

    |

  14. Find the equation of line parallel to the Y- axis and drawn through th...

    Text Solution

    |

  15. Find the new coordinates of point (3,-4) if the origin is shifted to (...

    Text Solution

    |

  16. Find the transformed equation of the straight line 2x - 3y + 5 = 0, wh...

    Text Solution

    |

  17. If the lines 2x+ y-3 = 0, 5x+ky - 3=0 and 3x -y -2 =0 are concurrent, ...

    Text Solution

    |

  18. Find the distance of the line 4x - y = 0 from the point P (4, 1) meas...

    Text Solution

    |

  19. Assuming that straight lines work as the plane mirror for a point, fin...

    Text Solution

    |

  20. Show that the area of the triangle formed by the lines y= m(1) x + c(1...

    Text Solution

    |