Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 49 - 53 of 86

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Question number: 49

» Coordinate Geometry

MCQ▾

Question

The coordinates of the mid-points of the sides of a triangle are (17,16),(12,6)and(4,5) . What will be the coordinates of the centroid of the triangle?

Choices

Choice (4) Response

a.

(9,11)

b.

(11,9)

c.

(11,9)

d.

(11,9)

Question number: 50

» Coordinate Geometry

MCQ▾

Question

Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (1,1),(3,4),(5,2)and(4,7) .

Choices

Choice (4) Response

a.

41

b.

82

c.

20.5

d.

61.5

Question number: 51

» Coordinate Geometry

MCQ▾

Question

The two opposite vertices of a square are (3,2)and(1,2) , so the coordinates of the other two vertices are ________

Choices

Choice (4) Response

a.

(2,3)(2,1)

b.

(3,2),(4,2)

c.

(0,2),(0,2)

d.

(5,6),(2,7)

Question number: 52

» Coordinate Geometry

MCQ▾

Question

The two opposite vertices of a square are (4,6)and(1,6) , so the coordinates of the other two vertices are ________

Choices

Choice (4) Response

a.

(3,213),(425,2)

b.

(52,334),(52,154)

c.

(54,68),(211,713)

d.

(25,3)(2,17)

Question number: 53

» Coordinate Geometry

MCQ▾

Question

Four vertices of a parallelogram taken in order are (2,9),(a,b),(6,7)and(2,13) . What will be the ratio of a and b?

Choices

Choice (4) Response

a.

7: 2

b.

4:7

c.

3: 2

d.

2: 3

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