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Find the equation of a line parallel to...

Find the equation of a line parallel to x-axis and passing through the origin.

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As we know that the line parallel to x-axis and passing through the origin is x-axis itself.
Let us consider that A be a point on x-axis.
Therefore, the coordinates of A are given by (a,0,0),
Direction ratios of OA are a,0,0.
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NCERT ENGLISH-THREE DIMENSIONAL GEOMETRY-MISCELLANEOUS EXERCISE
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  2. Find the equation the plane which contain the line of intersection ...

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  3. If O be the origin and the coordinates of P be(1, 2, -3), then find ...

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  5. Find the coordinate of the point where the line through (5, 1, 6) and ...

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  6. Find the equation of the plane passing through the point ( 1, 3, 2)an...

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  7. Find the coordinates of the point where the line through (3, 4, 5)a...

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  8. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are

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  9. Find the equation of the plane passing through (a, b, c) and parallel...

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  11. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2and (x-1)/(3k)=(y-1)/1=(z-6...

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  12. Find the vector equation of the line passing through (1, 2, 3) and pe...

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  13. Find the equation of a line parallel to x-axis and passing through th...

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  14. If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7),...

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  15. If l1,""""m1,""""n1 and l2,""""m2,""""n2 are the direction cosines ...

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  16. Find the angle between the lines whose direction ratios are a, b, c a...

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  17. Show that the line joining the origin to the point (2, 1, 1)is perpen...

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  18. Find the vector equation of the line passing through the point (1,2,-...

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  19. Prove that if a plane has the intercepts a ,\ b ,\ c\ a n d\ is at a ...

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  20. Distance between the two planes: 2x + 3y + 4z = 4and 4x + 6y + 8z = 12...

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