Question

Problem 1: Which of the following equations represents a plane which is parallel to the plane

36?−18?+12?=30

and which passes through the point (3,6,1) ?

a). 6?−3?+2?=3

b). 6?+3?−2?=34

c). 36?+18?−12?=204
d). 6?−3?+2?=2
e). 36?+18?+12?=228

Problem 2: At which point(s) does the helix r (t)=〈cos??/4, sin??/4, ?〉 intersect the sphere ?2+?2+?2=5 ?

a). (0,1,2) and (0,−1,−2)

b). (−1,0,4) and (−1,0,−4)
c). (1,0,4) and (−1,0,−4)
d). (0,1,−1) and (0,1,1)
e). (0,1,−1) and (0,−1,1)

Answer 1

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