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Find the equation of a plane that cuts t...

Find the equation of a plane that cuts the coordinate axes at `(a, 0, 0)`, (0,b,0) and (0, 0,c).

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The correct Answer is:
`(x)/(a) + (y)/(b) + (z)/(c ) = 1`.
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ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -CHAPTER TEST
  1. If the x-coordinate of a point P on the join of Q(2,2,1) and R(3,8,11)...

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  2. Find the equation of a line parallel to X - axis and passing through ...

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  3. Find the equation of a plane that cuts the coordinate axes at (a, 0, 0...

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  4. Find the distance of the point whose position vector is (2hat(i) + hat...

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  5. Find the ratio in which the line segment through (2,4,5),(3,5,-4) is d...

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  6. State true or False .The planes 2x +4y -z + 1 = 0 and x - 2y - 6z + 3 ...

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  7. Find the equation of the plane .Passing through the point (2,3-1) and ...

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  8. State which of the following statements are true (T) or false(F) The...

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  9. Find the coordinates of the point, where the line passing through (5, ...

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  10. A plane meets the coordinate axes at A, B and C respectivély. If the c...

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  11. Find the perpendicular distance of point (1,0,0) in from the lines (x-...

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  12. Show that the shortest distance between the lines x+a=2y=-12z and x=y+...

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  13. Find the equation of two planes through the origin, parallel to the li...

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  14. If a line makes angles alpha, beta  and gamma  with the positive direc...

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  15. Find the angle between the lines whose dcs. L, m, n are connected by t...

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  16. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

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  17. Find the equation of the plane through the points (2, 2,1)and (9, 3, 6...

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  18. If the edges of a rectangular parallelopiped are of lengths a, b, c, t...

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  19. Find the distance of the point (-1, 5, -10) form the point of intersec...

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  20. Find the equation of the straight line perpendicular to the line (x-2)...

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