हिंदी

What is the parametric form of the line through \[(5,2,-4)\] with direction ratios \[3,2,-8\]?

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प्रश्न

What is the parametric form of the line through \[(5,2,-4)\] with direction ratios \[3,2,-8\]?

विकल्प

  • \[x=5+3\lambda,\quad y=2+2\lambda,\quad z=-4-8\lambda\]

  • \[x=3+5\lambda,\quad y=2+2\lambda,\quad z=-8-4\lambda\]

  • \[x=5+3\lambda,\quad y=2-2\lambda,\quad z=-4+8\lambda\]

  • \[x=5-3\lambda,\quad y=2-2\lambda,\quad z=-4+8\lambda\]

MCQ
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उत्तर

Use \[x=x_1+\lambda a\], \[y=y_1+\lambda b\], and \[z=z_1+\lambda c\]. Here, \[z=-4+\lambda(-8)=-4-8\lambda\].

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