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If the equation of the plane passing through the line of intersection of the planes $a x + b y + c z + d = 0, a_{1} x + b_{1} y + c_{1} z + d_{1} = 0$ and perpendicular to the XY-plane is $p x + q y + r z + s = 0$ then S=

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dc1−d1c

dc1+d1c

dd1+cc1

aa1+bb1+cc1

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detailed solution

Correct option is A

The plane equation is (ax + by + cz + d) - cc1 (a1x+b1y+c1z+d1)=0

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If the equation of the plane passing through the line of intersection of the planes ax+by+cz+d=0,a1x+b1y+c1z+d1=0 and perpendicular to the XY-plane is px+qy+rz+s=0 then S=

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If the equation of the plane passing through the line of intersection of the planes $a x + b y + c z + d = 0, a_{1} x + b_{1} y + c_{1} z + d_{1} = 0$ and perpendicular to the XY-plane is $p x + q y + r z + s = 0$ then S=