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NCERT Class XII Mathematics Chapter - - Solutions
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Question 49 - 54: In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them.
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Question : 50 of 78
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7x + 5y + 6z + 30 = 0 and 3x – y – 10z + 4 = 0
Solution:
The given planes are7x + 5y + 6z + 30 = 0 ...(1)and 3x – y – 10z + 4 = 0 ...(2)These are neither parallel nor perpendicular [∵ (7) (3) + (5) (–1) + 6 (– 10) ≠ 0]If ‘θ’ be the angle between (1) and (2), then
Hence
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