In the given diagram, O is the origin and P is the mid-point of AB. The equation of OP is : 1. y = x 2. 2y = x 3. y = 2x 4. y = -x

From graph, A = (4, 0) and B = (0, 2). Given, P is the mid-point of AB. P = = (2, 1). By two-point form, ⇒ y - y 1 = ⇒ y - 1 = ⇒ y - 1 = ⇒ 2(y - 1) = x - 2 ⇒ 2y - 2 = x - 2 ⇒ 2y = x - 2 + 2 ⇒ 2y = x. Hence, Option 2 is the correct option.

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In the adjoining diagram, G is the centroid of △ ABC. A(3, -3), B(2, -6), C(x, y) and G(5, -5). The coordinates of point D are :
(2, -6)
(3, -6)
(6, -6)
(10, -6)

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In the given figure line l₁ is a parallel to line l₂. If line l₃ is perpendicular to line l₁, then the slopes of lines l₂ and l₃ respectively are :
1, 1
-1, -1
1, -1
-1, 1

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Which of the following lines cut the positive x-axis and positive y-axis at equal distances form the origin?
3x + 3y = 6
5x + 10y = 10
-x + y = 1
10x + 5y = 5

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Mathematics

In the given diagram, O is the origin and P is the mid-point of AB. The equation of OP is :
y = x
2y = x
y = 2x
y = -x

Straight Line Eq

Related Questions

In the adjoining diagram, G is the centroid of △ ABC. A(3, -3), B(2, -6), C(x, y) and G(5, -5). The coordinates of point D are :
(2, -6)
(3, -6)
(6, -6)
(10, -6)

In the given figure line l₁ is a parallel to line l₂. If line l₃ is perpendicular to line l₁, then the slopes of lines l₂ and l₃ respectively are :
1, 1
-1, -1
1, -1
-1, 1

Which of the following lines cut the positive x-axis and positive y-axis at equal distances form the origin?
3x + 3y = 6
5x + 10y = 10
-x + y = 1
10x + 5y = 5

Mathematics

In the given diagram, O is the origin and P is the mid-point of AB. The equation of OP is :y = x2y = xy = 2xy = -x

Straight Line Eq

Related Questions

In the adjoining diagram, G is the centroid of △ ABC. A(3, -3), B(2, -6), C(x, y) and G(5, -5). The coordinates of point D are :(2, -6)(3, -6)(6, -6)(10, -6)

In the given figure line l1 is a parallel to line l2. If line l3 is perpendicular to line l1, then the slopes of lines l2 and l3 respectively are :1, 1-1, -11, -1-1, 1

Which of the following lines cut the positive x-axis and positive y-axis at equal distances form the origin?3x + 3y = 65x + 10y = 10-x + y = 110x + 5y = 5

In the given diagram, O is the origin and P is the mid-point of AB. The equation of OP is :
y = x
2y = x
y = 2x
y = -x

In the adjoining diagram, G is the centroid of △ ABC. A(3, -3), B(2, -6), C(x, y) and G(5, -5). The coordinates of point D are :
(2, -6)
(3, -6)
(6, -6)
(10, -6)

In the given figure line l₁ is a parallel to line l₂. If line l₃ is perpendicular to line l₁, then the slopes of lines l₂ and l₃ respectively are :
1, 1
-1, -1
1, -1
-1, 1

Which of the following lines cut the positive x-axis and positive y-axis at equal distances form the origin?
3x + 3y = 6
5x + 10y = 10
-x + y = 1
10x + 5y = 5