Introduction to Euclid's Geometry
From the choices given below, choose the equation whose graphs are given in Fig. (1) and Fig. (2).
For Fig. 1 For Fig. 2
(i) y = x (i) y = x + 2
(ii) x + y = 0 (ii) y = x – 2
(iii) y = 2x (iii) y = – x + 2
(iv) 2 + 3y = 7x (iv) x + 2y = 6
Fig. 1
Fig. 2
For Fig. (1). The correct equation is
(ii) x + y = 0.
For Fig. (2). The correct equation is
(iii) y = – x + 2.
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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.
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