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Let the line l:x=(1-y)/-2=(z-3)/lamda ,l...

Let the line `l:x=(1-y)/-2=(z-3)/lamda ,lamda in RR` meet the plane `P:x +2 y+3z=4` at the point `(alpha, beta, gamma)`. If the angle between the line `l` and the plane P is `cos^-1(sqrt(5/14))` then `alpha + 2beta + 6gamma` is equal to _______

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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  2. For k in NN , if the sum of the series 1+4/k+8/k^2+13/k^2+19/k^4+. . ....

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