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Find the co-ordinates of the foot of the...

Find the co-ordinates of the foot of the perpendicular Q drawn from P (3,2,1) so that plane 2x - y + z + 1 = 0. Also, find the distance PQ and the image of the point P treating this plane as a mirror.

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The correct Answer is:
(1,3,0) ; `sqrt(6)` ; (-1, 4,-1).
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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -EXERCISE 11 (E) (LONG ANSWER TYPE QUESTIONS (II) )
  1. (i) Find the distance of the point (-2,3,-4) from the line : (x + 2)...

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  2. Find the ratio in which the line-segment joining the points : (i) (2...

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  3. Find the equation of the plane passing through the point (1,2,1) and p...

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  4. Find the image of the point : (i) (2,-3,2) in the plane 2x + y - 3z ...

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  5. (i) Find the co-ordinates of foot of perpendicular drawn from the poin...

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  6. The foot of the perpendicular drawn from origin to a plane is (4,-2,5)...

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  7. Find the co-ordinates of the foot of the perpendicular Q drawn from P ...

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  8. Find the length and the foot of the perpendicular from the point P(7,1...

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  9. Find the distance of the point P (1,2,3) from its image in the plane x...

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  10. Find the coordinates of the point where the line through (3,-4,-5) and...

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  11. (i) A variable plane, which remains at a constant distance '3p' from t...

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  12. If a plane has intercepts a,b,c on axes and is at a distance of p unit...

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  13. A variable plane passes through a fixed point (a,b,c) and meets the co...

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  14. A variable plane moves in such a way that the sum of the reciprocals o...

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  15. Differentiate e^tanx cosx

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  16. Find the equations of the bisectors of the angles between the plane...

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  17. In the following determine whether the given planes are parallel or pe...

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