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  1. Choice (b) is correct. The set of all subsets of a set A is called power set of A and is denoted by P(A). If a set A has 3 elements, then number of its subsets is 2³. Hence, the power set of the set A has 8 elements.  This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. SetRead more

    Choice (b) is correct. The set of all subsets of a set A is called power set of A and is denoted by P(A). If a set A has 3 elements, then number of its subsets is 2³. Hence, the power set of the set A has 8 elements. 
    This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. Sets. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-1

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  2. The x-axis in three-dimensional space consists of all points where the y and z coordinates are zero. Therefore, the equations of the x-axis are: y = 0 and z = 0 In parametric form, the x-axis can be represented as: x = t, y = 0, and z = 0, where t is a parameter. So, the correct answer is: α Click hRead more

    The x-axis in three-dimensional space consists of all points where the y and z coordinates are zero. Therefore, the equations of the x-axis are:

    y = 0 and z = 0

    In parametric form, the x-axis can be represented as:
    x = t, y = 0, and z = 0, where t is a parameter.

    So, the correct answer is: α

    Click here for more:
    https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-11

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  3. The reflection of a point (α, β, γ) in the xy-plane involves changing the sign of the z-coordinate while keeping the x and y coordinates unchanged. Therefore, the reflection of the point (α, β, γ) in the xy-plane is: (α, β, -γ) Thus, the correct answer is: (α, β, -γ) Click here for more: https://wwwRead more

    The reflection of a point (α, β, γ) in the xy-plane involves changing the sign of the z-coordinate while keeping the x and y coordinates unchanged.

    Therefore, the reflection of the point (α, β, γ) in the xy-plane is: (α, β, -γ)

    Thus, the correct answer is: (α, β, -γ)

    Click here for more:
    https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-11

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  4. Choice (c) is correct. As A and B are disjoints sets. n(A ∪ B) = n (A) +n (B) = 17 + 8 = 25 This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. Sets. Give answer according to your understanding. For more please visit here: https://www.tiwariacademy.com/ncert-solutions/clasRead more

    Choice (c) is correct. As A and B are disjoints sets. n(A ∪ B) = n (A) +n (B) = 17 + 8 = 25
    This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. Sets. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-1

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  5. The direction cosines of a line are given as k, k, and k. The sum of the squares of the direction cosines must equal 1: k² + k² + k² = 1 3k² = 1 k² = 1/3 k = ±1/√3 Thus, the correct answer is: k = 1/√3 or -1/√3 Click here for more: https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapteRead more

    The direction cosines of a line are given as k, k, and k. The sum of the squares of the direction cosines must equal 1:

    k² + k² + k² = 1
    3k² = 1
    k² = 1/3
    k = ±1/√3

    Thus, the correct answer is: k = 1/√3 or -1/√3

    Click here for more:
    https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-11

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