Question:

The equation of the plane parallel to the planes x + 2y + 3z – 5 = 0 and x + 2y + 3z – 7 = 0 and equidistant from them is

Updated On: Apr 27, 2024
  • (A) x + 2y + 3z - 6 = 0
  • (B) x + 2y + 3z - 1 = 0
  • (C) x + 2y + 3z - 8 = 0
  • (D) x + 2y + 3z - 3 = 0
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The Correct Option is A

Solution and Explanation

Explanation:
ax+by+cz˙+d1=0ax+by+cz+d2=0Also formula for the distance between two parallel planes =|d1d2a2+b2+c2|All the given planes are parallel to each other, but only x+2y+3z6=0 is equidistant from the planes x+2y+3z5=0 and x+2y+3z7=0 having the distance 114
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