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Describe the vertices and edges of the r...

Describe the vertices and edges of the rectangular parallelepiped with one vertex (3, 4, 5) placed in the first octant with one vertex at origin and edges of parallelepiped lie along x, y and z-axis.

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CBSE COMPLEMENTARY MATERIAL-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY-SHORT ANSWER TYPE QUESTIONS
  1. Whhat are the coordinates of the vertices of a cube whose edge is 2 un...

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  2. Let A, B, C be the feet of perpendiculars from point P(1, –2, –3) on t...

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  3. If a parallelopiped is formed by planes drawn through the points ( 5,8...

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  4. The length of the longest piece of a string that can be stetched strai...

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  5. Find the coordinate of the point P which is three-fourth of the way fr...

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  6. Show that points (4, –3, –1), (5, –7, 6) and (3, 1, –8) are collinear.

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  7. Find the point on y-a xi s which is equidistant from the points (3,1,2...

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  8. Determine the point in yz plane which is equidistant from three points...

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  9. The centroid of ∆ABC is at (1, 1, 1). If coordinates of A and B are (3...

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  10. Find the length of the medians of the triangle with vertices A(0, 0, 3...

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  11. If the extremities (end points) of a diagonal of a square are (1,-2,3)...

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  12. Three consecutive vertices of a parallelogram ABCD are A(6,2,4) ,B(2,...

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  13. If the points A(1, 0, –6), B(3, p, q) and C(5, 9, 6) are collinear, fi...

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  14. Show that the point A(1, 3, 0), B(–5, 5,, 2), C(–9, –1, 2) and D(–3, –...

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  15. The mid points of the sides of a triangle are (5, 7, 11), (0, 8, 5) a...

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  16. Find equation of an ellipse having vetices (0, pm5) and foc (0,pm4). F...

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  17. Prove that the points ( 0,-1,-7) , (2,1,-9) and (6,5,-13) are collinea...

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  18. Let A(3, 2, 0), B(5, 3, 2) C(-9, 6, -3) be three points forming atria...

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  19. Describe the vertices and edges of the rectangular parallelepiped with...

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  20. Find the coordinates of the point which is equidistant from the point ...

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