The plane through the intersection of the planes and and parallel to -axis also passes through the point

Question

The plane through the intersection of the planes  and  and parallel to -axis also passes through the point

Canvas Classes · Accepted Answer

🧠 Plane Through Line + Parallel to -Axis — -Coefficient = 0

Read the question. Plane through line of intersection of two planes, parallel to -axis. Find which option lies on it.

"Parallel to -axis" → plane's -coefficient .

First step: family + -coeff zero.

🗺️ Working It Out

Family: .

-coefficient: .

Multiply through by  to clear fractions: .

Plane: .

Test options:
- (a) : .
- (b) : .
- (c) : . ✓
- (d) : .

⚡ The Smart Move

"Plane parallel to axis "  "axis--coefficient ".

The plane

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