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Determine x so that the line passing t...

Determine `x` so that the line passing through `(3,4) and (x ,5)` makes an angle of `135^0` with the positive direction of the x-axis.

Text Solution

Verified by Experts

Slope of line passing through (3,4) and (x,5) is `(5-4)/(x-3)`. Also, inclination of line is `135^@`.
`therefore tan 135^@=(5-4)/(x-3)`
`rArr-1=(5-4)/(x-3)`
`rArr-x+3=1`
`rArrx=2`
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Knowledge Check

  • A square of side a lies above the x-axis and has one vertex at the origin. The side passing throuhg the origin makes an angle alpha (0 lt alpha lt (pi)/(4)) with the positive direction of x-axis. Then the equation of its diagonal not passing through the origin is-

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    B
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    D
    `y(cos alpha + sin alpha ) +x (sin alpha + cos alpha )=a`

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