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Intersecting the x-axis at a distance of...

Intersecting the x-axis at a distance of 3 units to the left of origin with slope `-2`.

Text Solution

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The correct Answer is:
`2x + y + 6 = 0 `
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Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^(@) with positive direction of the x-axis.

Find the equation of the line which intersects the y-axis at a distance of 2 units above the origin and makes an angle of 30^0 with the positive direction of the x-axis.

Knowledge Check

  • The equations of the circel which touch the x axis at a distance of 3 unit from the origin and intercepts a chord of length 6 unit on the y-axis, aer-

    A
    `x ^(2) +y^(2) pm 6sqrt2 -6y+9=0`
    B
    `x ^(2) +y^(2) +6x pm 6 sqrt2 y +9=0`
    C
    `x ^(2) +y^(2) pm 6x+6 sqrt2y +9=0`
    D
    `x ^(2) +y^(2) -6xpm6 sqrt2y +9=0`

    • Similar Questions

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    Find equation of the line through the point(0, 2) making an angle (2pi)/3 with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

    Find the equation of the circle which touches the positive y-axis at a distance of 4 units from the origin cuts off an intercept 6 units from the x-axis.

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    The line parallel to the x-axis and passing through the intersection of the lines a x+2b y+3b=0 and b x-2y-3a=0 where (a , b)!=(0,0) , is (a)above the x-axis at a distance of 3/2 units from it (b)above the x-axis at a distance of 2/3 units from it (c)below the x-axis at a distance of 3/2 units from it (d)below the x-axis at a distance of 2/3 units from it

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    Find the direction in which a straight line must be drawn through the point (-1, 2) so that its point of intersection with the line x + y = 4 may be at a distance of 3 units from this point.

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