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Introduction To Euclid's Geometry

Question

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The condition that the equation ax + by + c = 0 represent a linear equation in two variables is:
a ≠ 0, b = 0
b ≠ 0, a = 0
a = 0, b = 0
a ≠ 0, b ≠ 0

Solution

D.

a ≠ 0, b ≠ 0

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.

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