Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 60 - 65 of 81

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Question number: 60

» Coordinate Geometry

MCQ▾

Question

Four vertices of a parallelogram taken in order are (15,2),(a,b),(15,14)and(10,6) . What will be the ratio of a and b?

Choices

Choice (4) Response
a.

4:7

b.

3: 1

c.

2: 1

d.

3: 4

Question number: 61

» Coordinate Geometry

MCQ▾

Question

Points (6,8),(3,7),(2,2)and(1,1) are joined to form a quadrilateral. What will be the structure of quadrilateral?

Choices

Choice (4) Response
a.

Parallelogram

b.

Rectangle

c.

Square

d.

Rhombus

Question number: 62

» Coordinate Geometry

MCQ▾

Question

If D(3,1),E(2,6)andF(5,7) are the midpoints of the sides of ABC , the area of the triangle is ________

Choices

Choice (4) Response
a.

96 sq. units

b.

24 sq. units

c.

48 sq. units

d.

50 sq. units

Question number: 63

» Coordinate Geometry

MCQ▾

Question

If P(0,3),Q(2,a)andR(1,4) are the vertices of a right angle triangle, right angle at P, then a is ________

Choices

Choice (4) Response
a.

3

b.

4

c.

2

d.

1

Question number: 64

» Coordinate Geometry

MCQ▾

Question

The coordinates of the mid-points of the sides of a triangle are (4,2),(3,3)and(2,2) . What will be the coordinates of the centroid of the triangle?

Choices

Choice (4) Response
a.

(3,73)

b.

(3,73)

c.

(3,73)

d.

(3,73)

Question number: 65

» Coordinate Geometry

MCQ▾

Question

The area of a triangle is 5 square units, two of its vertices are (2,1)and(3,2) . The third vertex lies on y=x+3 . What will be the third vertex?

Choices

Choice (4) Response
a.

(72,132)

b.

(53,133)

c.

(1,2)

d.

(3,4)

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