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NCERT Class XII Mathematics Chapter - - Solutions

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Exercise - 11.3
(Question 25 - 28): In each of the following cases, determine the direction cosines of thenormal to the plane and the distance from the origin.
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Question : 29 of 78
Marks: +1, -0
5y + 8 = 0
Solution:  
The given plane is 5y + 8 = 0 ...(1)
Direction ratios of the normal to the plane are < 0, 5, 0 >
∴ Direction cosines of the normal to the plane are < 0, 1, 0 >
And distance of (1) from the origin =0+80+25+0=85=\frac{\left|0+8\right|}{\sqrt{0+25+0}}=\frac{8}{5}
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