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Mathematics · 2021

JEE Main · 18 March 2021, Shift 2 · Q87

Let P be a plane containing the line (x-1)/3=(y+6)/4=(z+5)/2 and parallel to the line (x-3)/4=(y-2)/-3=(z+5)/7. If the point (1,-1, α) lies on the…

Let P be a plane containing the line $\displaystyle \frac{x-1}{3}=\frac{y+6}{4}=\frac{z+5}{2}$ and parallel to the line $\displaystyle \frac{x-3}{4}=\frac{y-2}{-3}=\frac{z+5}{7}$. If the point $\displaystyle (1,-1, \alpha)$ lies on the plane P, then the value of $\displaystyle |5 \alpha|$ is equal to \_\_\_\_.
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