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Consider the three planes P_{1}:3x+15y+21z=9 P_{2}:x-3y-z=5, and P_{3}:2x+10y+14z=5 Then, which one of the following is true ?  
Option: 1 P_{2} and P_{3} are parallel
 
Option: 2 P_{1}\; \text {and}\; P_{2} are parallel
Option: 3 P_{1}\; \text {and}\; P_{3} are parallel  
Option: 4 P_{1},P_{2}\; \text {and}\; P_{3} all are parallel.

Answers (1)

best_answer

Given equation od planes are

\\P_{1}: x+5 y+7 z=3 \\ P_{2}: x-3 y-z=5 \\ P_{3}: x+5 y+7 z=\frac{5}{2}

P1 and P3 are parallel.

Posted by

himanshu.meshram

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