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NCERT Class XII Mathematics Chapter - - Solutions

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Question : 44 of 78
Marks: +1, -0
Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.
Solution:  
Clearly, the plane passes through the point (0, 3, 0). The direction cosines of the normal to the plane are < 0, 1, 0 >
∴ The equation of the plane is 0 ⋅ (x – 0) + 1 ⋅ (y – 3) + 0 ⋅ (z – 0) = 0
⇒ y – 3 = 0 ⇒ y = 3.
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