Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 26 - 31 of 81

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Question number: 26

» Coordinate Geometry

MCQ▾

Question

A(1,2),B(4,1)andC(7,6) is three vertices of the parallelogram ABCD. The coordinates of fourth vertex is ________

Choices

Choice (4) Response
a.

(7,2)

b.

(7,2)

c.

(2,7)

d.

(2,7)

Question number: 27

» Coordinate Geometry

MCQ▾

Question

The coordinates of the centre of a circle passing through (1,6),(2,1)and(5,2) is ________

Choices

Choice (4) Response
a.

(5,3)

b.

(3,5)

c.

(3,5)

d.

(5,3)

Question number: 28

» Coordinate Geometry

MCQ▾

Question

Orthocenter of the triangle formed by the lines xy=0 and x+y=1 is ________

Choices

Choice (4) Response
a.

(0,1)

b.

(1,0)

c.

(0,0)

d.

(1,1)

Question number: 29

» Coordinate Geometry

MCQ▾

Question

In what ratio is the line segment joining the points (2,6)and(3,2) is divided by X-axis?

Choices

Choice (4) Response
a.

17:8

b.

3:1

c.

10:11

d.

5: 17

Question number: 30

» Coordinate Geometry

MCQ▾

Question

Area of quadrilateral formed by the vertices (1,6),(3,9),(5,8)and(3,9) is ________

Choices

Choice (4) Response
a.

96 sq. units

b.

18 sq. units

c.

25 sq. units

d.

50 sq. units

Question number: 31

» Coordinate Geometry

MCQ▾

Question

If D(2,7),E(3,5)andF(6,9) are the midpoints of the sides of ABC , the area of the triangle is ________

Choices

Choice (4) Response
a.

20 sq. units

b.

50 sq. units

c.

30 sq. units

d.

60 sq. units

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