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Find the direction ratios of a straight ...

Find the direction ratios of a straight line which makes equal angles with the coordinate axes. How many such straight line are there?

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The correct Answer is:
1, 1, 1; Two
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Find the direction cosines of the straight line which makes equal angles with the coordinate axes.

Find the direction cosines of the straight line which makes equal angles with the coordinate axes.

Knowledge Check

  • The direction cosines of a line equally inclined with the coordinates axes are-

    A
    `1/sqrt(3), -1/sqrt(3), 1/sqrt(3)`
    B
    `1/sqrt(3), -1/sqrt(3), -1/sqrt(3)`
    C
    `-1/sqrt(3), -1/sqrt(3), 1/sqrt(3)`
    D
    `1/sqrt(3), 1/sqrt(3), 1/sqrt(3)`

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    Let l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) be the direction ratios of two given straight lines. Find the direction ratios of a straight line which is perpendicular to both the given straight lines.

    Can the numbers 1, 2, 3 be the direction ratios of a straight line?

    (x) Find the area of the triangle formed by the straight line 2sqrt(ax)+y=a with the co-ordinates axes.

    Find the equation of the straight line which passes through the point of intercestion of the straight lines 3x-4y+1=0 and 5x+y=0 and makes equal intercepts upon the coordinate axes .

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