Q.

If the equation of the plane passing through the point1,1,2 and perpendicular to the line x-3y+2z-1=0=4x-y+z is Ax+By+Cz=1, then 140 (C-B+A) is equal to______.

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answer is 15.

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Detailed Solution

Dr’s line: 

n1×n2=i^j^k^132411==i^+7j^+11k^

drs of normal to the plane is 1,7,11

point on the plane is (1,1,2)

 Equation of plane : 1(x1)+7(y1)+11(z2)=0

 -x+7y+11z=-1+7+22 

x+7y+11z=28

x28+7y28+1128z=1
140 (C-B+A)=140(1128728128)=15
 

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If the equation of the plane passing through the point1,1,2 and perpendicular to the line x-3y+2z-1=0=4x-y+z is Ax+By+Cz=1, then 140 (C-B+A) is equal to______.