The equation of the plane which contains the line x4=y2=z1 and is perpendicular to the plane containing the lines x−41=y−54=z−92 and x+84=y+62=z−21
A
5x−8y−4z=0
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B
5x+8y−4z=0
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C
5x−8y+4z=0
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D
5x+8y+4z=0
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Solution
The correct option is A5x−8y−4z=0 Normal vector of the plane containing the lines =∣∣
∣
∣∣^i^j^k142421∣∣
∣
∣∣=7^j−14^k
So the equation of the plane ∣∣
∣∣xyz42107−14∣∣
∣∣=0⇒5x−8y−4z=0