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Maths Intro to Three Dimensional Geometry Class 11 Assertion and Reason Questions

Assertion Reasoning Quiz · Class 11 · Maths · CBSE

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Chapter 11 Class 11 - Intro to Three Dimensional Geometry | 7 questions | about 6 minutes

Practise Intro to Three Dimensional Geometry Class 11 with Teachoo's Assertion Reasoning Quiz (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 7
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Question 1 of 7
Assertion (A): The point \((-2, 3, -4)\) lies in Octant VI.
Reason (R): The point \((2, -3, 4)\) lies in Octant IV.
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Question 2 of 7
Assertion (A): The points \(A(1, 2, 3)\), \(B(2, 3, 1)\), and \(C(3, 1, 2)\) are vertices of an equilateral triangle.
Reason (R): All three side lengths \(AB\), \(BC\), and \(CA\) are equal to \(\sqrt{6}\text{ units}\).
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Question 3 of 7
Assertion (A): The distance between points \(P(1, 2, 3)\) and \(Q(1, 2, 7)\) is \(4\text{ units}\).
Reason (R): The distance between any two distinct points in 3D Euclidean space is always a positive real number.
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Question 4 of 7
Assertion (A): The distance between \(P(1, -3, 4)\) and \(Q(-4, 1, 2)\) is \(3\sqrt{5}\text{ units}\).
Reason (R): The origin \((0,0,0)\) lies at equal distance from \((1,0,0)\) and \((-1,0,0)\).
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Question 5 of 7
Assertion (A): If \(P(1, 2, 3)\) and \(Q(3, 4, 5)\) are two points, then the midpoint of segment \(PQ\) is \((2, 3, 4)\).
Reason (R): The midpoint of a line segment joining \((x_1, y_1, z_1)\) and \((x_2, y_2, z_2)\) is given by \((x_1+x_2, y_1+y_2, z_1+z_2)\).
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Question 6 of 7
Assertion (A): The perpendicular distance of the point \(P(3, 4, 12)\) from the \(z\)-axis is \(5\text{ units}\).
Reason (R): The perpendicular distance of any point \((x, y, z)\) from the \(z\)-axis is given by \(|z|\).
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Question 7 of 7
Assertion (A): The locus of a point moving in space such that its distance from the \(XY\)-plane is \(4\text{ units}\) consists of two parallel planes \(z = 4\) and \(z = -4\).
Reason (R): The perpendicular distance of any point \((x, y, z)\) from the \(XY\)-plane is \(|z|\).
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