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

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Let point A is on x-axis. Then coordinates of A are `(a,0,0)` where `a in R`.
The direction ratio of OA are `(a-0),0,0=a,0,0`
Equation of OA is :
`(x-0)/(a) = (y-0)/(0) = (z-0)/(0) rArr (x)/(1) = (y)/(0) = (z)/(0)`
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NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Miscellaneous Exercise
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  2. Find the angle between the lines whose direction ratios are a, b, c a...

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

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

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

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

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  7. Write the vector equation of the plane, passing through the point (a ,...

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  8. Find the shortest distance between lines vecr = 6hati+2hatj+2hatk+lam...

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

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  10. Find the coordinates of the point where the line through (5, 1, 6) ...

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  11. Find the coordinates of the point where the line through (3, -4, -5...

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  12. Find the equation of the plane passing through the point (-1, 3, 2)...

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  13. If the points (1," "1," "p)" "a n d" "(" "3," "0," "1) be equidistant ...

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  14. Find the equation of the plane passing through the line of intersectio...

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  15. If O be the origin and the coordinates of P be(1," "2," "" "3) , th...

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  16. Find the equation of the plane which contains the line of intersection...

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  17. Find the distance of the point (-1,-5,-10) from the point of the inter...

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  18. Find the vector equation o the line passing through (1,2,3) and parall...

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  19. Find the vector equation of line passing through the point (1, 2, -4) ...

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

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