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Tamil Nadu Board of Secondary EducationHSC Science Class 11

A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown - Mathematics

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Question

A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table

Weight (kg) 2 4 5 8
Length (cm) 3 4 4.5 6

If the spring has to stretch to 9 cm long, how much weight should be added?

Sum

Solution

If the spring stretch to 9 cm long,

To find the required weight

Put y = 9, in equation (1)

(1) ⇒ x – 2(9) + 4 = 0

⇒ x – 18 + 4 = 0

⇒ x = 14

Weight to be added is 14 kg.

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Chapter 6: Two Dimensional Analytical Geometry - Exercise 6.2 [Page 260]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 6 Two Dimensional Analytical Geometry
Exercise 6.2 | Q 13. (iv) | Page 260

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