Q. 224.7( 15 Votes )
Distance be A. 2 units
B. 4 units
C. 8 units
D.
units
Answer :
Distance between two parallel planes Ax + By + Cz = d1 and Ax + By + Cz = d2 is
⇒
Given -
First Plane is
2x + 3y + 4z = 4
Comparing with Ax + By + Cz = d1, we get -
A = 2, B = 3, C = 4, d1 = 4
Second Plane is
4x + 6y + 8z = 12
After Dividing by 2,
2x + 3y + 4z = 6
Comparing with Ax + By + Cz = d1, we get -
A = 2, B = 3, C = 4, d2 = 6
So,
Distance between two planes
= 2/√29
Hence, (D) is the correct option.
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