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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?
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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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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 |
How long will the spring be when 6 kilograms of weight on it?
A point on the straight line, 3x + 5y = 15 which is equidistant from the coordinate, axes will lie only in ______.
The locus of the point of intersection of the lines xcosα + ysinα = α and xsinα – ycosα = b(where α is a variable) is ______.
The number of possible tangents which can be drawn to the curve 4x2 – 9y2 = 36, which are perpendicular to the straight line 5x + 2y – 10 = 0 is ______.
