Q.
The equation of the plane passing through a point with position vector i^+2j^+3k^ and parallel to the plane r→.(3i^+4j^+5k^)=0 is
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a
3x+4y−5z+26=0
b
3x+4y+5z−26=0
c
3x−4y+5z−26=0
d
3x+4y−5z−26=0
answer is B.
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Detailed Solution
Equation of the plane parallel to r¯.(3i¯+4j¯+5k¯)=0 is given by (xi¯+yj¯+zk¯)(3i¯+4j¯+5k¯)+λ=0It passes through (1,2,3)∴λ=−26
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