Question
What is the equation of the plane through z-axis and parallel to the linex−1cosθ=y+2sinθ=z−30?
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[b] Let equation of plane through z-axis is ax+by=0 It is given that this plane is parallel to the line x−1cosθ=y+2sinθ=z−30 Since the plane parallel to the line ∴acosθ+bsinθ=0 ⇒acosθ=−bsinθ⇒a=−btanθ ∴−btanθx+by=0 ⇒xtanθ−y=0(∴b≠0) Which is required equation of plane.
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Question Text | What is the equation of the plane through z-axis and parallel to the linex−1cosθ=y+2sinθ=z−30? |
Answer Type | Text solution:1 |
Upvotes | 150 |