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Show that , if x^(2)+y^(2)=1, then the p...

Show that , if `x^(2)+y^(2)=1`, then the point ` (x,y,sqrt(1-x^(2)-y^(2)))` is at is distance 1 unit form the origin.

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To show that the point \((x, y, \sqrt{1 - x^2 - y^2})\) is at a distance of 1 unit from the origin, given that \(x^2 + y^2 = 1\), we will follow these steps: ### Step 1: Identify the points We have two points: - The origin \(O(0, 0, 0)\) - The point \(P(x, y, \sqrt{1 - x^2 - y^2})\) ### Step 2: Use the distance formula ...
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NCERT EXEMPLAR ENGLISH-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-Fillers
  1. Show that , if x^(2)+y^(2)=1, then the point (x,y,sqrt(1-x^(2)-y^(2))...

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  2. The three axes OX, OY and OZ determine ………….

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  3. The three planes, determine a rectangular parallelopiped which has ………...

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  4. The coordiantes of a point are the perpendicular distance from the ….....

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  5. The Three coordiantes planes divide the space into ……. Parts.

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  6. If a point P lies in YZ- plane , then the coordinates of a point on YZ...

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  7. The equation of YZ- plane is ………

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  8. If the point P lies on Z - axis , then coordinates of p are of the for...

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  9. The equation of Z - axis , are…………..

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  10. A line is parallel to XY- plane if all the points on the line have equ...

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  11. A line is parallel to X-axis,if all the points on the line have equal…...

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  12. 45x=a represent a plane parallel to ………..

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  13. A plane is parallel to YZ-plane , so it is perpendicular tio

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

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  15. If the distance between the points P(a ,2,1)a n d\ Q(1,-1,1) is 5 unit...

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  16. The coordinates of the mid points of sides AB, BC and CA of A B C are...

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  17. Match each item given under the column I to its correct answer given u...

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