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Find the equation of a straight line whi...

Find the equation of a straight line which makes acute angle with positive direction of x-axis, passes through point `(-5, 0)` and is at a perpendicular distance of 3 units from origin.

Text Solution

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The correct Answer is:
`3x-4y+15=0`
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Find the equation of a line through the origin which makes an angle of 45^0 with the positive direction of x-axis.

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Knowledge Check

  • The equation of a line which makes an angle of 135^@ with the positive direction of X-axis and passes through the point (3,5) is

    A
    x-y-8=0
    B
    x-y+8=0
    C
    x+y+8=0
    D
    x+y-8=0

  • Find the equation of a line making an angle 2pi//3 with positive direction of x-axis and passing through a point (0,2) .

    A
    `sqrt(3)x+y-2=0`
    B
    `sqrt(3)x-y-2=0`
    C
    `sqrt(3)x+y+2=0`
    D
    None

  • The equation of a line which passes through (2,3) and makes an angle of 30^(@) with the positive direction of x-axis is

    A
    `x-sqrt3y+3sqrt3-2=0`
    B
    `x-sqrt3y=2`
    C
    `x+sqrt3y+3sqrt3-2=0`
    D
    `x-sqrt3y-3sqrt2-2=0`

    • Similar Questions

    Explore conceptually related problems

    Find the equation of the straight line passing through (3,-2) and making an angle of 60^(@) with the positive direction of y-axis.

    A straight line makes an angle with positive direction of x -axis measured in anti clock direction and makes positive intercept on y- axis and the line is at a distance of 5units from origin then its equation is

    Find the equation of a straight line which passes through the point of intersection of the straight lines x+y-5=0 and x-y+3=0 and perpendicular to a straight line intersecting x-axis at the point (-2,0) and the y-axis at the point (0,-3).

    Find the equation of the straight line which passes through the point (1,2) and makes such an angle with the positive direction of x-axis whose sine is (3)/(5)

    A straight line cuts off an intercept of 2 units on the positive direction of x-axis and passes through the point (-3, 5). What is the foot of the perpendicular drawn from the point (3, 3) on this line ?

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