Let the line \frac{x-3}{7}=\frac{y-2}{-1}=\frac{z-3}{-4} intersect the plane containing the lines \frac{x-4}{1}=\frac{y+1}{-2}=\frac{z}{1} and 4 a x-y+5 z-7 a=0=2 x-5 y-z-3, a \in \mathbb{R} at the point P(\alpha, \beta, \gamma). Then the value of \alpha+\beta+\gamma equals ________. [27-Jul-2022-Shift-1]

JEE Mains 27-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 23 of 90

Marks: +1, -0

Let the line ‌

x−3

=‌

y−2

−1

=‌

z−3

−4

intersect the plane containing the lines ‌

x−4

=‌

y+1

−2

=‌

and 4ax−y+5z−7a=0=2x−5y−z−3,a∈ℝ at the point P(α,β,γ). Then the value of α+β+γ equals ________.

[27-Jul-2022-Shift-1]

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