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A plane meets the coordinates axes in A, B and C such that the centroid of the triangle ABC is the point `(p, q, r)`, show that the eqation of the plane is `(x)/(p)+(y)/(q)+(z)/(r)=3`.

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A, B, C
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ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
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  2. Find the equation of the plane passing through (a, b, c) and parallel ...

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  3. A plane meets the coordinates axes in A, B and C such that the centroi...

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  4. Find the direction ratios of the normal to the plane, which passes thr...

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  5. Find the vector equation of the plane passing through the intersection...

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

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

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

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  9. If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...

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  10. Find the equation of the plane passing through the points (3, 4, 1), (...

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  11. Find the equations of the perpendicular from the point (3, -1, 11) to...

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  12. Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.

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  13. Find the distance between the point (7,2,4) and the plane determined b...

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  14. Find the distance between the point P(6,5,9) and the plane determined ...

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  15. Find the cartesian and vector equations of the planes passing through ...

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  16. Find the co-ordinates of the points where the line through the points ...

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  17. Find the coordinates of the point where the line through the points A ...

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  18. Find the distance of the point (3,4,5) from the plane x+y+z=2 measured...

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  19. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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  20. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

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