Home
Class 11
MATHS
Find the equation of line which makes a ...

Find the equation of line which makes a triangle with area `(50)/( sqrt(3) )` unit with axis and perpendicular from origin makes an angle `(pi)/(6)` with positive side of X-axis.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(3) x + y=10`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Text based MCQs|25 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Latest Exam MCQs|1 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise : 10|26 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

Obtain the equation at the line in Ex. (1) to (10) satisfying given condition : Length of perpendicular from origin is 7 unit and makes an angle (pi)/(6) with positive side of X-axis.

Find the equation of a line which makes an angle of 135^(@) with the x-axis and passes through the point (3,5).

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 .

........... is the equation of line which makes an angle pi/3 with X - axis having y- intersept 3.

If line makes an angle of 45° with the positive side of X -axis then write its slope.

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.

Write down a unit vector in XY-plane, making an angle of 30^(@) with the positive direction of x-axis.

Find the equation of the straight line which passes through the point (2,-3) and is (i) parallel to the X-axis , (ii) perpendicular to the X - axis

KUMAR PRAKASHAN-STRAIGHT LINES-Practice Work
  1. Find equation of line passes from point P(1,-7) which intersects axis ...

    Text Solution

    |

  2. A(1, 4), B(2, -3) and C(-1, -2) are the verticies at Delta ABC then f...

    Text Solution

    |

  3. Find the equation of line which makes a triangle with area (50)/( sqr...

    Text Solution

    |

  4. A ray of light passing through the point (1,2) reflects on the X -axis...

    Text Solution

    |

  5. Prove that line segment joining mid points of the two sides of the tri...

    Text Solution

    |

  6. The Fahrenheit remperature F and absolute temperature K satisfy a line...

    Text Solution

    |

  7. L : 3x + 2y-7 =0 (1) Reduce the above equation in slope intercept fr...

    Text Solution

    |

  8. Find points on line x + y + 3 = 0 whose distance from line x+2y+2=0 is...

    Text Solution

    |

  9. Length of perpendicular from origin to the line (x)/(a) + (y)/( b) = 1...

    Text Solution

    |

  10. Find perpendicular distance from point (3,-1) to the line 12 x -5y-7=0...

    Text Solution

    |

  11. If two sides of the quadrilateral are along the lines x+2y+3=0 and x+2...

    Text Solution

    |

  12. Find equation of parallel line to line 2x+3y+11=0 and whose sum of int...

    Text Solution

    |

  13. Find equation of line at the distance 3 from origin and perpendicular ...

    Text Solution

    |

  14. Find equation of line whose y- intercept is (4)/(3) and perpendicular ...

    Text Solution

    |

  15. Prove that lines 3x + y + 4 = 0, 3x + 4y = 20 and 24x - 7y + 5 = 0 are...

    Text Solution

    |

  16. One side and are vertex of the equilateral triangle is 2x+2y-5=0 and (...

    Text Solution

    |

  17. Find equation of lines which bisects the quadrents.

    Text Solution

    |

  18. Prove that the product of the lengths of the perpendiculars drawn from...

    Text Solution

    |

  19. Find equation of line passes from middle of two parallel lines 9x + 6y...

    Text Solution

    |

  20. Find length of perpendicular from origin to the lines passes from poin...

    Text Solution

    |