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  1. Choice (b) is correct.  i¹⁰⁰² = i¹⁰⁰⁰ × i² = (i⁴ )²⁵⁰ × (-1) = 1²⁵⁰ × (-1) = -1 This question related to Chapter 4 maths Class 11th NCERT. From the Chapter 4: Complex Numbers and Quadratic Equations. Give answer according to your understanding. For more please visit here: https://www.tiwariacademy.cRead more

    Choice (b) is correct. 
    i¹⁰⁰² = i¹⁰⁰⁰ × i²
    = (i⁴ )²⁵⁰ × (-1) = 1²⁵⁰ × (-1) = -1
    This question related to Chapter 4 maths Class 11th NCERT. From the Chapter 4: Complex Numbers and Quadratic Equations. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-4

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  2. Choice (c) is correct. We know that the square root of negative number is imaginary number. This question related to Chapter 4 maths Class 11th NCERT. From the Chapter 4: Complex Numbers and Quadratic Equations. Give answer according to your understanding. For more please visit here: https://www.tiwRead more

    Choice (c) is correct. We know that the square root of negative number is imaginary number.
    This question related to Chapter 4 maths Class 11th NCERT. From the Chapter 4: Complex Numbers and Quadratic Equations. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-4

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    • 16
  3. (c) An atom with 3 protons and 4 neutrons (lithium) will have a valency of 1. https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-4/

    (c) An atom with 3 protons and 4 neutrons (lithium) will have a valency of 1.

    https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-4/

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    • 31
  4. Given the objective function Z = ax + by, the minimum value occurs at two points (3, 4) and (4, 3). 1. At point (3, 4), the objective function is Z = a(3) + b(4) = 3a + 4b. 2. At point (4, 3), the objective function is Z = a(4) + b(3) = 4a + 3b. Since both points give the minimum value of Z, the objRead more

    Given the objective function Z = ax + by, the minimum value occurs at two points (3, 4) and (4, 3).

    1. At point (3, 4), the objective function is Z = a(3) + b(4) = 3a + 4b.
    2. At point (4, 3), the objective function is Z = a(4) + b(3) = 4a + 3b.

    Since both points give the minimum value of Z, the objective function at these points must be equal:

    3a + 4b = 4a + 3b

    Solving for a and b:

    3a + 4b – 4a – 3b = 0

    -a + b = 0 ⟹ a = b

    Thus, the correct condition is a = b.

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    https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-12

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    • 26
  5. Choice (d) is correct.  Given, a + ib = c +id ⇒ a = c and b = d ⇒ a² + b² = c² + d²  This question related to Chapter 4 maths Class 11th NCERT. From the Chapter 4: Complex Numbers and Quadratic Equations. Give answer according to your understanding. For more please visit here: https://www.tiwariacadRead more

    Choice (d) is correct. 
    Given, a + ib = c +id
    ⇒ a = c and b = d
    ⇒ a² + b² = c² + d² 
    This question related to Chapter 4 maths Class 11th NCERT. From the Chapter 4: Complex Numbers and Quadratic Equations. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-4

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