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Introduction to Euclid's Geometry
Question
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Force applied on a body is directly proportional to the acceleration produced in the body. Write an equation to express the situation and plot the graph of the equation taking constant to be 5 units.

Answer

Let the force applied on a body be y units and the acceleration produced in the body be x units. Then,

y ∝ x
⇒ y = kx
Here, k = 5 units |Given
∴ y = 5x ...(1)
(1) is an equation to express the situation. Table of solutions

X

0

1

y

0

5

We plot the points (0, 0) and (1, 5) on a graph paper and join the same by a ruler to get the line which is the graph of the equation y = 5x

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Some More Questions From Introduction to Euclid's Geometry Chapter

 Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

Write the equation 2x = y in the form ax + by + c = 0 and find the values of a, b, c in the equation. How many solution this equation has?

Express the linear equation 7 = 2x in the form ax + by + c = 0 and also write the values of a, b and c

Write each of the following as an equation in two variables:

(i) x = – 5 (ii) y = 2

(iii) 2x = 3 (iv) 5y = 2.

 Which one of the following options is true, and why?

y = 3x + 5 has

(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions.

Write four solutions for each of the following equations:

2x + y = 7