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

Find the equation of a line which makes a triangle of area `96sqrt(3)` square from co-ordinate axes and the perpendicular drawn from origin to this line makes an angle `60^(@)` from `X`-axis.

Text Solution

Verified by Experts

The correct Answer is:
`x+ysqrt(3)=+-24`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line which makes a triangle of area 96sqrt(3) with the axes and perpendicular from the origin to it makes an angle of 30^0 with y-axis.

Find the equation of a line which is at a perpendicular distance of sqrt(2) units from origin and the perpendicular from origin to this line makes an angle of 135^(@) from positive direction of X -axis.

Knowledge Check

  • Find the equation of a line which is at a distance of 5 units from origin and the perpendicular from origin to this line makes an angle alpha from the positive direction of X -axis where tan alpha=(4)/(3) .

    A
    ` 3x+4y=25` or `3x+4y+25=0`
    B
    `4x+3y=25` or `4x+3y+25=0`
    C
    `3x-4y=25` or `3x-4y+25=0`
    D
    `4x-3y=25` or `4x-3y+25=0`

    • Similar Questions

    Explore conceptually related problems

    Find the equation of a line which is at a distance of 5 units from origin and the perpendicular from origin to this line makes an angle of 30^(@) from the positive direction of X -axis.

    Find the equation of a line which is at a distance of 2 units from origin and the perpendicular from origin to this line makes an angle tan^(-1)"(12)/(5) from positive direction of X -axis.

    A line forms a triangle of area 54sqrt(3) square units with the coordinate axes.Find the equation of the line if the perpendicular drawn from the origin to the line makes an angle of 60^(@) with the X -axis.

    Find the equation of a line which is at a distance of 4 units from origin and the slope of perpendicular from origin to this line is (1)/(sqrt(3)) .

    If the area of the triangle formed by a line with coordinates axes 54sqrt3 square units and the perpendicular drawn from the origin to the line makes an angle 60^(@) with the x-axis, find the equation of the line.

    Find the equation of the line which is at a distance 5 from the origin and the perpendicular from the origin to the line makes an angle 60^0 with thepositive direction of the x-axis.

    Find the equation of the straight line which is at a distance 3 from the origin and perpendicular from the origin to the line makes an angle of 30^(0) with the positive direction of the x-axis.

    Home
    Profile