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The plane uniquely determined by x-axis ...

The plane uniquely determined by x-axis and y-axis
is known as

A

XY-plane

B

YZ-plane

C

XZ-plane

D

None of these

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The correct Answer is:
To solve the question, we need to identify the plane that is uniquely determined by the x-axis and y-axis. ### Step-by-Step Solution: 1. **Understanding Axes**: - The x-axis is the horizontal line in a three-dimensional coordinate system where the y-coordinate and z-coordinate are both zero. - The y-axis is the vertical line in a three-dimensional coordinate system where the x-coordinate and z-coordinate are both zero. 2. **Defining the Plane**: - A plane in three-dimensional space can be defined by two lines (axes in this case). The plane formed by the x-axis and y-axis will include all points where the z-coordinate is constant. 3. **Identifying the Plane**: - The plane that includes all points (x, y, 0) where z is equal to zero is known as the xy-plane. This means that for any point on this plane, the z-coordinate is always zero. 4. **Conclusion**: - Therefore, the plane uniquely determined by the x-axis and y-axis is the **xy-plane**. ### Final Answer: The plane uniquely determined by the x-axis and y-axis is known as the **xy-plane**. ---
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AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. A line is parallel to YZ-plane, if all the points on the line have e...

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  2. The equation of a plane parallel to x-axis is

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  3. The plane uniquely determined by x-axis and y-axis is known as

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

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  5. The intersection of XY-plane and YZ-plane is known as

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  6. It the mid-points of the sides of triangle are (1, 2, -3), (3, 0, 1)...

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  7. The shortest distance of the point (a, b, c) from y-axis is

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  8. Values of a for which the distance between the points (3, -5, 4) and...

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  9. The graph of the equation x^2+y^2=0 in the three dimensional space is ...

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  10. The coordinates of the point equidistant from the points A(0, 0, 0), ...

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  11. The plane-XY divides the join of (1, -1, 5) and (2, 3, 4) in the rat...

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  12. A parallelopiped is formed by planes drawn through the points (1, 2, ...

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  13. Find the angle between the lines 2x=3y=-z and 6x=-y=-4z.

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  14. A line makes the same angle theta with X-axis and Z-axis. If the angle...

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  15. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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  16. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

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

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  18. The coordinates of the point in which the line joining the points (2,...

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  19. Find the angle between the planes 2x - y + 3z = 6 and x + y +2z =7.

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  20. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2)a n d(x-1)/(3k)=(y-5)/1=(z...

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