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Q.

If the points (1, 1, –3) and (1, 0, –3) lie on opposite sides of the plane x + y + 3z + d = 0 then

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a

d > 8

b

d < 7 or d > 8

c

d < 7

d

7 < d < 8

answer is C.

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Detailed Solution

π111 and π222 have opposits signs

⇒d–7 and d–8 must have opposite signs 

⇒(d−7)(d−8)<0⇒7<d<8

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