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Find the Value of X So that the Line Passing Through (3, 4) and (X, 5) Makes an Angle 135° with Positive Direction of X-axis. - Mathematics

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प्रश्न

Find the value of x so that the line passing through (3, 4) and (x, 5) makes an angle 135° with positive direction of X-axis.

योग

उत्तर

Slope of the line which makes an angle 135° with X-axis,
m = tan 135°
= -1.
Also slope m = `(5 - 4)/(x - 3) = (1)/(x - 3)`
Then, `(1)/(x - 3)` = -1
⇒ x - 3 = -1
∴ x = 2.

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अध्याय 11: Coordinate Geometry - Determine the Following

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आईसीएसई Mathematics [English] Class 10
अध्याय 11 Coordinate Geometry
Determine the Following | Q 4

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