Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 54 - 59 of 81

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Question number: 54

» Coordinate Geometry

MCQ▾

Question

Points (4,4),(2,4),(5,2),(5,4)and(4,4) are joined to form which shape?

Choices

Choice (4) Response
a.

Pentagon

b.

Snip single corner Rectangle

c.

Chord

d.

Snip round corner Rectangle

Question number: 55

» Coordinate Geometry

MCQ▾

Question

Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (16,15),(12,9),(10,6)and(14,6) .

Choices

Choice (4) Response
a.

22

b.

25

c.

28

d.

24

Question number: 56

» Coordinate Geometry

MCQ▾

Question

The values of t, if the area of the pentagon ABCDE be 452 sq. units where A=(1,3),B=(2,5),C=(3,1),D=(0,2)andE=(2,t) are ________

Choices

Choice (4) Response
a.

1, 99

b.

-1, 89

c.

1, 100

d.

-1, 100

Question number: 57

» Coordinate Geometry

MCQ▾

Question

If D(4,16),E(5,12)andF(7,8) are the midpoints of the sides of ABC , the area of the triangle is ________

Choices

Choice (4) Response
a.

8 sq. units

b.

9 sq. units

c.

6 sq. units

d.

7 sq. units

Question number: 58

» Coordinate Geometry

MCQ▾

Question

Four vertices of a parallelogram taken in order are (3,1),(a,b),(3,3)and(4,3) . What will be the ratio of a and b?

Choices

Choice (4) Response
a.

1:2

b.

1:3

c.

4:1

d.

3:1

Question number: 59

» Coordinate Geometry

MCQ▾

Question

Area of quadrilateral formed by the vertices (1,2),(4,3),(6,6)and(3,5) is ________

Choices

Choice (4) Response
a.

8 sq. units

b.

10 sq. units

c.

9 sq. units

d.

7 sq. units

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