1. Choice (a) is correct. We know that if ⁿCᵣ = ⁿCₛ,  then r = s or r + s = n Given, ⁿC₁₂ = ⁿC₈  n = 12 + 8 ⇒ n = 20 This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding. For more please visit here: httRead more

    Choice (a) is correct.
    We know that if ⁿCᵣ = ⁿCₛ,  then r = s or r + s = n
    Given, ⁿC₁₂ = ⁿC₈ 
    n = 12 + 8 ⇒ n = 20
    This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-6

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    • 14
  2. Choice (b) is correct.  Putting n = 11 and r = 3 in n!/(n - r)! r! , we get 11! / (11 - 3)! 3! = 11 × 10 × 9 × 8!/ 8! × 3 × 2 × 1 = 11 × 5 × 3 = 165 This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understandiRead more

    Choice (b) is correct. 
    Putting n = 11 and r = 3 in n!/(n – r)! r! , we get
    11! / (11 – 3)! 3! = 11 × 10 × 9 × 8!/ 8! × 3 × 2 × 1 = 11 × 5 × 3 = 165
    This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-6

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    • 5
  3. Choice (c) is correct.  Given, ∣ x -1 ∣ > 5  ⇒ (x - 1) 5 ⇒ x 5 + 1  ⇒ x 6  ⇒ x ∈ ( -∞, -4) ∪ (6, ∞) This question related to Chapter 5 maths Class 11th NCERT. From the Chapter 5: Linear Inequalities. Give answer according to your understanding. For more please visit here: https://www.tiwariacademRead more

    Choice (c) is correct. 
    Given, ∣ x -1 ∣ > 5 
    ⇒ (x – 1) 5
    ⇒ x 5 + 1  ⇒ x 6 
    ⇒ x ∈ ( -∞, -4) ∪ (6, ∞)
    This question related to Chapter 5 maths Class 11th NCERT. From the Chapter 5: Linear Inequalities. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-5

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    • 17
  4. Choice (b) is correct. Given ∣ x ∣ < 3 ⇒ -3 < x < 3  This question related to Chapter 5 maths Class 11th NCERT. From the Chapter 5: Linear Inequalities. Give answer according to your understanding. For more please visit here: https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chaRead more

    Choice (b) is correct.
    Given ∣ x ∣ < 3 ⇒ -3 < x < 3 
    This question related to Chapter 5 maths Class 11th NCERT. From the Chapter 5: Linear Inequalities. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-5

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    • 7
  5. Choice (c) is correct.  Let x cm be the breadth of the rectangle.  Length of the rectangle = 3x cm and perimeter of the rectangle = 2 ( length + breadth) = 2(3x + x) = 8x cm Given, minimum perimeter = 160 cm 8x ≥ 160 ⇒ x ≥ 20 Hence, breadth ≥ 20 cm. This question related to Chapter 5 maths Class 11tRead more

    Choice (c) is correct. 
    Let x cm be the breadth of the rectangle. 
    Length of the rectangle = 3x cm
    and perimeter of the rectangle = 2 ( length + breadth) = 2(3x + x) = 8x cm
    Given, minimum perimeter = 160 cm
    8x ≥ 160 ⇒ x ≥ 20
    Hence, breadth ≥ 20 cm.
    This question related to Chapter 5 maths Class 11th NCERT. From the Chapter 5: Linear Inequalities. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-5

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    • 6