The graph of the linear equation y – x = 0 passes through the

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Linear Equations in Two Variables

Multiple Choice Questions

171. Graph of a linear equation ax + by + c = 0, a ≠ 0, b ≠ 0 cuts x-axis and y-axis respectively at the points:

$open parentheses negative straight c over straight a comma space 0 close parentheses. open parentheses 0 comma space minus c over b close parentheses$
$open parentheses 0 comma space minus straight c over straight b close parentheses. open parentheses negative straight c over straight a comma space 0 close parentheses$
(-c, 0). (0, -c)
(-c, 0). (0, -c)

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172. Any point on the line y = x is of the form:

(a, a)
(0, a)
(a, 0)
(a, 0)

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173. The equation x = 7, in two variables can be written as:

1 · x + 1 · y = 7
1 · x + 0 · y = 7
0 · x + 1 · y = 7
0 · x + 1 · y = 7

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174. Which of the following ordered pairs is a solution of the equation x – 2y = 6?

(2, 4)
(0, 3)
(–4, 1)
(–4, 1)

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175. The equation 2x = 3 in two variables is of the form:

2 . x + 3 . y = 0
2 . x + 0 . y = 3
$2 over 3. space x space plus space 0 space. space y space equals space 3$
$2 over 3. space x space plus space 0 space. space y space equals space 3$

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176. Which of the following is the equation of a line parallel to y-axis?

y = 0
x + y = z
y = x
y = x

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177. The coordinates of the point where lines ax = by and ay = bx intersect are:

(1, 1)
(2, –2)
(–3, 3)
(–3, 3)

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178. The point of intersection of the lines intersecting the equation 3x = 2y + 1 and 2x = 3y – 1 is:

(2, 3)
(3,2)
(1, 1)
(1, 1)

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179. The graph of the linear equation y – x = 0 passes through the point:
$open parentheses 0 comma space 3 over 2 close parentheses$
$open parentheses 3 over 2 comma space minus 3 over 2 close parentheses$
$open parentheses negative 1 half comma space 1 half close parentheses$
$open parentheses negative 1 half comma space 1 half close parentheses$

D.

open parentheses negative 1 half comma space 1 half close parentheses

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180. A solution of the linear equatior

2 square root of 2 straight x minus 3 straight y plus 4 equals 0

corresponding to y = 2 is:

$2 minus 2 square root of 2$
$2 square root of 2 minus 2$
$fraction numerator 1 over denominator square root of 2 end fraction$
$fraction numerator 1 over denominator square root of 2 end fraction$

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