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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 $2x + 2y - z + 9 = 0$.
(a)[1.0]
The direction cosines of the plane are:
- (1)$\left(\frac{2}{3}, \frac{2}{3}, -\frac{1}{3}\right)$
- (2)$\left(\frac{2}{3}, \frac{2}{3}, \frac{1}{3}\right)$
- (3)$\left(-\frac{2}{3}, -\frac{2}{3}, \frac{1}{3}\right)$
- (4)$\left(-\frac{2}{3}, \frac{2}{3}, \frac{1}{3}\right)$
(b)[1.0]
A fly is sitting on panel A. The position of the fly is $(2, m, 3)$. Find the value of '$m$'.
(c)[1.0]
Find the equation of the panel B if the point $(3, 2, -4)$ lies on it.
(d)[1.0]
Find the distance between the panels.
Answer
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From ISC 2025 Improvement Mathematics Paper 1, question 15(ii).