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Explain solution RD Sharma class 12 chapter 28 The Plane exercise Fill in the blank question 8 maths
Answers (1)
Answer:
ax + by + cz = a2 + b2 + c2
Hint:
Firs find the co-ordinates
Given:
p(a,b,c) perpendicular to op
Solution:
The coordinates of the points o and p ,are (0,0,0) and (a,b,c) respectively. Therefore the direction rahos of op are (a-0)=a,(b-0) = b, and (c - 0) = c
It is known that the equation of the plane passing through the point (x,y,z) is
a(x - x1) + b(y - y1)+ c(z - z1) = 0
∴ the required equation will be
a(x - a) + b(y - b) + c(z - c) = 0
ax - a2 + by - b2 + cz - c2 = 0
ax + by + cz = a2 + b2 + c2
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