CBSE Class 12 Math 2020 Delhi Set 3 Solved Paper

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Question : 3
Total: 11
The distance of the origin (0,0,0) from the plane −2x+6y−3z=−7 is :___
Solution:  
Concept:
The distance of the origin (0,0,0) from the plane ax+by+cz+d=0 is given by |‌
(a)(0)+(b)(0)+(c)(0)+d
√a2+b2+c2
|

Calculation:
We know that the distance of the origin (0,0,0) from the plane ax+by+cz+d=0 is given by |‌
(a)(0)+(b)(0)+(c)(0)+d
√a2+b2+c2
|

⇒ The distance of the origin from the plane 2x+6y−3z+7=0
=|‌
(2)(0)+(6)(0)+(−3)(0)+7
√22+62+(−3)2
|

=|‌
7
√49
|

=1
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