Question
Mathematics Question on integral
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
A
(A) x + 2y + 3z - 6 = 0
B
(B) x + 2y + 3z - 1 = 0
C
(C) x + 2y + 3z - 8 = 0
D
(D) x + 2y + 3z - 3 = 0
Answer
(A) x + 2y + 3z - 6 = 0
Explanation
Solution
Explanation:
ax+by+cz˙+d1=0ax+by+cz+d2=0Also formula for the distance between two parallel planes =|d1−d2a2+b2+c2|All the given planes are parallel to each other, but only x+2y+3z−6=0 is equidistant from the planes x+2y+3z−5=0 and x+2y+3z−7=0 having the distance 114