Short Quiz

Question 1 of 5

The points \(A(1, 2, 3)\), \(B(-1, -2, -1)\), \(C(2, 3, 2)\), and \(D(4, 7, 6)\) are the vertices of a:

A Rectangle B Square C Parallelogram which is not a rectangle D Rhombus

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Question 2 of 5

The perpendicular distance of any general point \(P(x, y, z)\) from the \(x\)-axis is:

A \(|x|\) B \(\sqrt{y^2 + z^2}\) C \(\sqrt{x^2 + z^2}\) D \(\sqrt{x^2 + y^2}\)

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Question 3 of 5

The image/reflection of the point \(P(3, -4, -5)\) across the \(XY\)-plane is:

A \((-3, 4, -5)\) B \((3, -4, 5)\) C \((-3, -4, -5)\) D \((3, 4, 5)\)

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Question 4 of 5

The maximum length of a rod that can be placed inside a cuboidal container with side lengths \(a, b,\) and \(c\) aligned along coordinate axes is:

A \(a + b + c\) B \(\sqrt{a^2 + b^2 + c^2}\) C \(\sqrt{ab + bc + ca}\) D \(2\sqrt{a^2 + b^2 + c^2}\)

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Question 5 of 5

A point \(P\) lies on the \(x\)-axis and is equidistant from \((1, 2, 3)\) and \((2, 3, 4)\). The \(x\)-coordinate of \(P\) is:

A \(\frac{15}{2}\) B \(\frac{13}{2}\) C \(7\) D \(6\)

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Class 6