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Question
The equation of the plane passing through the point (4,5,1),(0,−1,−1) and (−4,4,4), is
The equation of the plane passing through the point (4,5,1),(0,−1,−1) and (−4,4,4), is
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Solution
The correct option is B 5x−7y+11z+4=0
Given points :
(4,5,1),(0,−1,−1) and (−4,4,4),
Equation of plane is :
∣∣
∣∣x−x1y−y1z−z1x2−x1y2−y1z2−z1x3−x1y3−y1z3−z1∣∣
∣∣=0
⇒∣∣
∣∣x−4y−5z−1−4−6−2−8−13∣∣
∣∣=0
⇒5x−7y+11z+4=0
Given points :
(4,5,1),(0,−1,−1) and (−4,4,4),
Equation of plane is :
∣∣ ∣∣x−x1y−y1z−z1x2−x1y2−y1z2−z1x3−x1y3−y1z3−z1∣∣ ∣∣=0
⇒∣∣ ∣∣x−4y−5z−1−4−6−2−8−13∣∣ ∣∣=0
⇒5x−7y+11z+4=0
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