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3D Geometry question

2024 · 30 Jan · Shift 2 · Q55

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JEE Main
Mathematics
3D Geometry
2024 · 30 Jan · Shift 2 · Q55

3D Geometry question

2024 · 30 Jan · Shift 2 · Q55

JEE MainMathematics3D GeometryNumerical+4 / −1

Let a line passing through the point

(-1,2,3)

intersect the lines

L_1: \frac{x-1}{3}=\frac{y-2}{2}=\frac{z+1}{-2}

at

M(\alpha, \beta, \gamma)

and

L_2: \frac{x+2}{-3}=\frac{y-2}{-2}=\frac{z-1}{4}

at

N(a, b, c)

. Then, the value of

\frac{(\alpha+\beta+\gamma)^2}{(a+b+c)^2}

equals

\underline{\hspace{2cm}}

.

Numerical answer

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