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A line cutting off intercept -3 from the...

A line cutting off intercept `-3` from the `Y-`axis and the tangent at angle to the `X-`axis is `(3)/(5)`, its equation is

A

`5y-3x+15=0`

B

`3y-5x+15=0`

C

`5y-3x-15=0`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Given that, c=-3and `m=(3)/(5)`
`therefore` Equation of the line is `y=mx+c`
`y=(3)/(5)x-3`
`rArr5y=3x-15`
`rArr5y-3x+15=0`
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Knowledge Check

  • The equation of the line cutting an intercept of 3 on negative y-axis and inclined at an angle tan^(-1) (3/5) to the x-axis is

    A
    5y – 3x + 15 = 0
    B
    5y – 3x = 15
    C
    3y – 5x + 15 = 0
    D
    none of these

  • What is the equation of the straight line cutting off an intercept 2 from the negative direction of y-axis and inclined at 30^(@) with the positive direction of x-axis ?

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

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