ICSE Class 10 Answered
Find the equation of LINE which is inclined at 30 degree with the negative direction of the y axis and cuts off an intercept of 2 on the x-axis in the negative direction of x-axis
Asked by siddharthjaiswal1122 | 06 Dec, 2018, 07:39: PM
Expert Answer
If the line makes 30° with negative y-axis and making intercept of length 2 with negative x-axis,
then as shown in figure, angle made by the line with negative x-axis is 60°.
Hence slope m = -tan60 = -√3 and the line passing through P(-2,0)
Equation of line y = mx + c , where m is slopeand c is y-intercept
hence equation of line, y = -√3 x + c ...............(1)
since the line passing through the point P( -2, 0), we have, 0 = -√3 (-2) + c or c = -2√3
hence equation of line is y = - √3x - 2√3 or √3x+y+2√3 = 0
Answered by Thiyagarajan K | 06 Dec, 2018, 08:31: PM
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