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Need solution for RD Sharma maths Class 12 Chapter 28 The Plane Exercise 28.9 Question 7 textbook solution.

Answers (1)

Answer : The answer of the given question is 5 Unit

Hint :

           P=\left|\frac{a x_{1}+b y_{1}+c z_{1}+d}{\sqrt{a^{2}+b^{2}+c^{2}}}\right|

Given : 

          Points : A(2,3,5)

          Plane : z = 0

Solution :

We know, the distance of point  \left(x_{1}, y_{1}, z_{1}\right) from the plane

p: a x+b y+c z+d=0  Is given by

P=\left|\frac{a x_{1}+b y_{1}+c z_{1}+d}{\sqrt{a^{2}+b^{2}+c^{2}}}\right|

Putting the values

P=\left|\frac{0 \times 2+0 \times 3+1 \times 5+0}{\sqrt{0^{2}+0^{2}+1^{2}}}\right|=5 \text { Unit }

The distance of the point (2,3,5) from the xy-plane is 5 unit

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