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Answer the following.
There are two solar panels, A and B placed parallel to each other on the terrace of a building. The…
There are two solar panels, A and B placed parallel to each other on the terrace of a building. The equation of the surface of the panel A is $2x + 2y - z + 9 = 0$.
Find the equation of the panel B if the point $(3, 2, -4)$ lies on it.
Answer
Answer
AIPanel B is parallel to A, so its equation is $2x + 2y - z + k = 0$.
It passes through $(3, 2, -4)$: $6 + 4 + 4 + k = 0$, so $k = -14$.
Equation of panel B: $2x + 2y - z - 14 = 0$.
From ISC 2025 Improvement Mathematics Paper 1, question 15(ii)(c).
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