Let the equation of the plane P containing the line x+10=\frac{8-y}{2}=z be a x+b y+3 z=2(a+b) and the distance of the plane {\P} from the point (1,27,7) be c. Then {\a}^2+ {\b}^2+ {\c}^2 is equal to ________. [29-Jan-2023 Shift 1]

JEE Mains 29-Jan-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 82 of 90

Marks: +1, -0

Let the equation of the plane P containing the line x+10=‌

8−y

=z be ax+by+3z=2(a+b) and the distance of the plane P from the point (1,27,7) be c. Then a2+b2+c2 is equal to ________.

[29-Jan-2023 Shift 1]

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