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Show that the following four points are ...

Show that the following four points are coplanar :(0,-1,0),(2,1,-1),(1,1,1),(3,3,0)

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Show that the following four points are coplanar : (4,5,1),(0,-1,-1),(3,9,4),(-4,4,4)

Show that the four points S(0,-1,0), B(2,1,-1), C(1,1,1) and D(3,3,0) are coplanar. Find the equation of the plane containing them.

Evaluate the following determinant |(2,-1,0,1),(-3,0,1,-2),(1,1,-1,1),(2,-1,5,0)|

Taking 0.5 cm as 1 unit, plot the following points on the graph paper: A(1,3),B(-3,-1),C(1,-4),D(-2,3),E(0,-8),F(1,0)

Using distance formula, check whether the following points are collinear or not. :- (- 4, 3), (0, 1), (2, 0) and (4,-1).

Show that the four points : (0,-1,1),(4,5,1),(3,9,4),(-4,4,4) are coplanar. Also find the equation of the plane containing them.

Which of the following points lie on y-axis? a(1,1),B(1,0),C(0,1),D(0,0),E(0,-1),F(-1,0),G(0,5),H(-7,0),I(3,3)

Find the equation of the plane through the points (0,-1,0),(2,1,-1) and (1,1,1).

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equation of the plane through the point (0,0,0) and (3,-1,2) ...

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  2. Show that the following four points are coplanar : (4,5,1),(0,-1,-1),(...

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  3. Show that the following four points are coplanar :(0,-1,0),(2,1,-1),(1...

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  4. Show that the four points : (0,-1,1),(4,5,1),(3,9,4),(-4,4,4) are copl...

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  5. The foot of the perpendicular drawn from the origin to the plane is : ...

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  6. Find the foot and length of the perpendicular from the point (3,4,5) t...

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

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

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  9. Find the distance between two parallel planes : 2x+3y+4z=4 and 4x+6y+8...

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  10. Find the equation passing throught the intersection of the planes : 2x...

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  11. Find the equation of the plane throught he intersection of the planes ...

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  12. Find the vector equation of the plane through the intersection of the ...

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  13. Find the equation of the plane passing through the intersection of the...

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  14. Find the equation of the plane through the intersection of the planes ...

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

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  16. Find the equation of the plane through the intersection of the planes ...

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

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

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  19. Find the equation of the plane through the line of intersection of the...

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

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