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The equation x^(2)+y^(2)=0 in three dime...

The equation `x^(2)+y^(2)=0` in three dimension space represents

A

a point

B

empty set

C

z-axis

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Multiple Choice Questions ( MCQs)
  1. Two lines which do not lie in the same plane are called

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  2. If a line makes angles alpha,beta,gamma respectively, positive x-axis,...

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  3. The equation x^(2)+y^(2)=0 in three dimension space represents

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  4. If cos alpha , cos beta, cos gamma are the direction-cosines of a line...

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  5. The planes 2x-2y+4z+5=0 and 3x-3y+6z-1=0 are

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  6. The planes 2x+y+3z-2=0 and x-2y+5=0 are

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  7. In the following determine whether the given planes are parallel or pe...

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  8. If a line makes angles 90^(@),60^(@) and 30^(@) with the positive dire...

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  9. The angle between the two diagonals of cube is

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  10. The angle between the tines (x-5)/(2)=(y+1)/(2)=(z-6)/(-6) and (x-5)/(...

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  11. If a line makes angle 90^(@),135^(@),45^(@) with X,Y and Z-axis respec...

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  12. If a line passing through two points (-2,4,-5) and (1,2,3) then its di...

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  13. Direction casines of z-axis are

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  14. If a line has direction ratios (2,-1,-2), then its drection cosines ar...

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  15. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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  16. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

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  17. Two lines which do not lie in the same plane are called

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  18. If a line makes angles alpha,beta,gamma respectively, positive x-axis,...

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  19. The equation x^(2)+y^(2)=0 in three dimension space represents

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  20. If cos alpha , cos beta, cos gamma are the direction-cosines of a line...

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