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3D Geometry question

2025 · 7 Apr · Shift 2 · Q35

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JEE Main
Mathematics
3D Geometry
2025 · 7 Apr · Shift 2 · Q35

3D Geometry question

2025 · 7 Apr · Shift 2 · Q35

JEE MainMathematics3D GeometryMCQ+4 / −1

If the equation of the line passing through the point

\left( 0, -\frac{1}{2}, 0 \right)

and perpendicular to the lines

\vec{r} = \lambda \left( \hat{i} + a\hat{j} + b\hat{k} \right)

and

\vec{r} = \left( \hat{i} - \hat{j} - 6\hat{k} \right) + \mu \left( -b \hat{i} + a\hat{j} + 5\hat{k} \right)

is

\frac{x-1}{-2} = \frac{y+4}{d} = \frac{z-c}{-4}

, then

a+b+c+d

is equal to :

A
13
B
14
C
12
D
10

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