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Introduction to Euclid's Geometry
Question
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Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?

Answer

The equations of two lines passing through (2, 14) can be taken as
x + y= 16
and 7x – y = 0.
There are infinitely many such lines because through a point an infinite number of lines can be drawn.

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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.