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  • Please solve RD Sharma class 12 chapter 28 The Plane exercise Fill in the blank question 1 maths textbook solution

Please solve RD Sharma class 12 chapter 28 The Plane exercise Fill in the blank question 1 maths textbook solution

Answers (1)

Answer:

 10

Hint:

 Use vector dot product

Given:

 x + 2y - 2z = d, d>0

Solution:

Perpendicular distance of the plane ax  +by + cz + d = 0

(x,y,z) \text { is } d = \left | \frac{ax_{1}+by_{1}+cz_{1}+d}{a^{2}+b^{2}+c^{2}} \right |

Equation of plane parallel to x + 2y - 2z = d  is

x + 2y -2z - d = 0                                    …………………………(1)

Perpendicular distance from (1,-2,1)  is S

\text { S } = \left | \frac{1-4-2+d}{\sqrt{1+4+4}} \right |\Rightarrow d=10

Posted by

Gurleen Kaur

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