Q.

The locus of the point (rsec⁡αcos⁡β,rsec⁡αsin⁡β,rtan⁡α) is

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a

x2+y2−z2=r2

b

x2+y2+z2=r2

c

x2+y2−z2=2r2

d

x2−y2+z2=r2

answer is A.

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Detailed Solution

We have x2+y2-z2=r2sec2αcos2β+r2sec2αsin2β-r2tan2α                                      =r2
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