The points (0, -1, -1), (-4, 4, 4), (4,

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The points (0, -1, -1), (-4, 4, 4), (4, 5, 1) and (3, 9, 4) are

Options:

collinear

coplanar

forming a square

none of these

Correct Answer:

coplanar

Explanation:

Equation of the plane passing through the points (0, -1, -1), (-4, 4, 4) and (4, 5, 1) is

$\begin{vmatrix}x&(y+1)&(z+1)\\-4&5&5\\4&6&2\end{vmatrix}= 0$ …. (1)

The point (3, 9, 4) satisfies the equation (1).

Hence (B) is the correct answer.