# Coordinate Geometry (IMO- Mathematics Olympiad (SOF) Class 10): Questions 43 - 49 of 86

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## Question number: 43

» Coordinate Geometry

MCQ▾

### Question

If the centroid of the triangle formed by the points is at the origin, then

### Choices

Choice (4) Response

a.

b.

0

c.

d.

## Question number: 44

» Coordinate Geometry

MCQ▾

### Question

Find the area of the triangle whose vertices are and

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 45

» Coordinate Geometry

MCQ▾

### Question

In a , coordinates of J are and the equations of the medians through K and L is and respectively, so the coordinates of K and L are ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 46

» Coordinate Geometry

MCQ▾

### Question

The coordinates of the third vertex of an equilateral triangle whose two vertices are at are ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 47

» Coordinate Geometry

MCQ▾

### Question

The coordinates of the mid-points of the sides of a triangle are. What will be the coordinates of the centroid of the triangle?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 48

» Coordinate Geometry

MCQ▾

### Question

Area of quadrilateral formed by the vertices is ________

### Choices

Choice (4) Response

a.

289 sq. units

b.

196 sq. units

c.

310 sq. units

d.

206 sq. units

## Question number: 49

» Coordinate Geometry

MCQ▾

### Question

The coordinates of the mid-points of the sides of a triangle are. What will be the coordinates of the centroid of the triangle?

### Choices

Choice (4) Response

a.

b.

c.

d.

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