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Introduction To Euclid's Geometry

Question

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Given the point (1,2), can you give the equation of a line on which it lies? How many such equations are there?

Solution

Solution not provided.
Ans. x + y = 3, y – x = 1, y = 2x, etc.; Infinitely many.

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?

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