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  1. Choice (a) is correct. The series is a G.P. with a = 8, r = 1/2, l = 1/128 The nth term lₙ from end is given by lₙ = 1/rⁿ ⁻ ¹  The fourth term l₄ from end is given by l₄ = 1/28/(1/2)³ = 8/128 = 1/16 For more please visit here: https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-8

    Choice (a) is correct.
    The series is a G.P. with a = 8, r = 1/2, l = 1/128
    The nth term lₙ from end is given by lₙ = 1/rⁿ ⁻ ¹ 
    The fourth term l₄ from end is given by l₄ = 1/28/(1/2)³ = 8/128 = 1/16

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-8

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  2. Choice (d) is correct. We have a = 1, r = -(1/3) Let nth term tₙ = -(1/243) ⇒ a.rⁿ ⁻ ¹ = -(1/243) ⇒ 1.(-1/3)ⁿ ⁻ ¹ = (-1/3)⁵ ⇒ n - 1 = 5 ⇒ n = 6  For more please visit here: https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-8

    Choice (d) is correct.
    We have a = 1, r = -(1/3)
    Let nth term tₙ = -(1/243)
    ⇒ a.rⁿ ⁻ ¹ = -(1/243) ⇒ 1.(-1/3)ⁿ ⁻ ¹ = (-1/3)⁵
    ⇒ n – 1 = 5 ⇒ n = 6 

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-8

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  3. Choice (b) is correct.  The given sequence is a G.P. with a = 8, r = 1/2 The nth term aₙ from the beginning is given by aₙ = arⁿ ⁻ ¹ The sixth term a₆ from beginning is given by a₆ = 8 × (1/2)⁵ = 8/32 = 1/4 For more please visit here: https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chaRead more

    Choice (b) is correct. 
    The given sequence is a G.P. with a = 8, r = 1/2
    The nth term aₙ from the beginning is given by aₙ = arⁿ ⁻ ¹
    The sixth term a₆ from beginning is given by a₆ = 8 × (1/2)⁵ = 8/32 = 1/4

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-8

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    • 12
  4. Choice (b) is correct The equation of line parallel to the x-axis and at a distance of 2 units below x-axis is y = -2 This question related to Chapter 9 maths Class 11th NCERT. From the Chapter 9: Straight Lines. Give answer according to your understanding. For more please visit here: https://www.tiRead more

    Choice (b) is correct
    The equation of line parallel to the x-axis and at a distance of 2 units below x-axis is y = -2
    This question related to Chapter 9 maths Class 11th NCERT. From the Chapter 9: Straight Lines. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-9

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  5. Choice (c) is correct The equation of line parallel to the y-axis and at a distance of 4 units to its right is x = 4. This question related to Chapter 9 maths Class 11th NCERT. From the Chapter 9: Straight Lines. Give answer according to your understanding. For more please visit here: https://www.tiRead more

    Choice (c) is correct
    The equation of line parallel to the y-axis and at a distance of 4 units to its right is x = 4.
    This question related to Chapter 9 maths Class 11th NCERT. From the Chapter 9: Straight Lines. Give answer according to your understanding.

    For more please visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-9

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    • 5