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Condition for two planes to be parallel

This type of question, asked 2 times: 22 Apr 2025 S1, 19 May 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    22 Apr 2025 S1

    109
    If the planes rˉ⋅(2i^−λj^+k^)=3\bar{r}\cdot (2\widehat{i}-\lambda\widehat{j}+\widehat{k}) = 3 and r‾⋅(4i^−j^+μk^)=5\overline{r}\cdot (4\widehat{i}-\widehat{j}+\mu\widehat{k}) = 5 are parallel, then λ+μ=\lambda+\mu=

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  2. Question 2

    19 May 2026 S2

    97
    The planes 5x−2y+3z=95x - 2y + 3z = 9 and 15x−6y+9z=−515x - 6y + 9z = -5 are

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