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Show that the point (0, -1, -1), (4 5, 1...

Show that the point (0, -1, -1), (4 5, 1), (3, 9, 4) and (-4, 4, 4) are coplanar and find the equation of the common plane.

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Show that the four point (0,-1,-1),(4,5,1),(3,9,4) and (-4,4,4) are coplanar and find the equation of the common plane.

(a) show that the following four points are coplanar : (i) (4,5,1), (0,-1,-1) ,(3,9,4) and (-4,4,4) (ii) (0,-1,0), (2 , 1 , -1) , (1,1,1) and (3,3,0). (b) Show that the four points : (0,-1,-1), (4,5,1), (3,9,4) and (-4,4,4) are coplanar. Also,find the equation of the plane containing them .

Show that the points A(2,1, -1), B(0, -1, 0), C(4, 0, 4) and D(2,0,1) are coplanar.

Show that the point A(4,-1,2), B(-3,5,1), C(2,3,4) and D(1,6,6) are coplanar. Also find the equation of the plane passing through these points.

Show that the points A(2, -1, 0) B(-3, 0, 4), C(-1, -1, 4) and D(0, -5, 2) are non coplanar.

Show that the points A(-1,4,-3), B(-3,2,1),C(3,2,-5) and D(-3,8,-5) are coplanar. Also find the equation of the plane passing through these points.

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

Show that the points A(0,4,3) , B(-1,-5,-3), C(-2,-2,1) and D(1,1,1) are coplanar. Also find the equation of the plane in which these points lie.

Points A(4, 5, 1), B (0, - 1, - 1), C (3 , 9, 4) and D( -4, 4, 4) are

Show that the four points A(3,2,-5, B(-1,4,-3), C(-3,8,-5) and D(-3,2,1) are coplanar. Find the equation of the plane containing them.

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Show that the point (0, -1, -1), (4 5, 1), (3, 9, 4) and (-4, 4, 4) ar...

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  2. Consider a pyramid OPQRS located in the first octant (xge0, yge0, zge0...

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  3. Let P be the image of the point (3, 1, 7) with respect to the plane x...

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  4. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

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  5. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

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  6. A line l passing through the origin is perpendicular to the lines 1:...

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  7. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

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  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

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  9. If the distance between the plane Ax-2y+z=d and the plane containing ...

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  10. Read the following passage and answer the questions. Consider the line...

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  11. Read the following passage and answer the questions. Consider the line...

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  12. Read the following passage and answer the questions. Consider the line...

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  13. Consider three planes P(1):x-y+z=1 P(2):x+y-z=-1 and " "P...

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  14. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

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  15. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

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  16. The distance of the point (1, 3, -7) from the plane passing through th...

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  17. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

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  18. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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  19. The disatance of the point (1, 0, 2) from the point of intersection of...

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  20. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  21. The angle between the lines whose direction cosines satisfy the equ...

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