Q.

 Equation of the plane passing through the line of intersection of the two planes rn1=q1 and 

rn2=q2 and parallel to the line of intersection of rn3=q3 and rn4=q4 is 

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a

 dependent on n1n3

b

 dependent on n3n4

c

 independent of q1 and q2

d

 independent of q3 and q4

answer is A, B, D.

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Detailed Solution

Equation of the required plane is

 

r¯n¯1q1+λr¯n¯2q2=0r¯n¯1+λn2=q1+λq2 Now, perpendicular to n¯3×n¯4n¯1+λn¯2n¯3×n¯4=0

 So independent on q3 and q4 only. 

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