Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 14 - 19 of 86

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Question number: 14

» Coordinate Geometry

MCQ▾

Question

If x(1,2),y(6,1)andz(3,5) are the midpoints of the sides of PQR , the area of the triangle is ________

Choices

Choice (4) Response

a.

69 sq. units

b.

74 sq. units

c.

42 sq. units

d.

84 sq. units

Question number: 15

» Coordinate Geometry

MCQ▾

Question

In what ratio is the line segment joining the points (5,6)and(1,4) is divided by Y-axis?

Choices

Choice (4) Response

a.

2: 3

b.

5: 1

c.

7: 2

d.

3: 4

Question number: 16

» Coordinate Geometry

MCQ▾

Question

The values of t, if the area of the pentagon PQRST be 30 sq. units where P=(2,3),Q=(3,1),R=(2,4),S=(0,1)andT=(3,t) are ________

Choices

Choice (4) Response

a.

(38.5,32.5)

b.

(38.5,32.5)

c.

(38.5,32.5)

d.

(38.5,32.5)

Question number: 17

» Coordinate Geometry

MCQ▾

Question

Points (3,4),(6,4),(6,4)and(3,4) are joined to form a quadrilateral. What will be the structure of quadrilateral?

Choices

Choice (4) Response

a.

Trapezoid

b.

Diamond

c.

Plaque

d.

Pentagon

Question number: 18

» Coordinate Geometry

MCQ▾

Question

If P(1,3),Q(5,a)andR(3,1) are the vertices of a right angle triangle, right angle at P, then a is ________

Choices

Choice (4) Response

a.

5

b.

9

c.

2

d.

7

Question number: 19

» Coordinate Geometry

MCQ▾

Question

The coordinates of the centre of a circle passing through (1,2),(3,4)and(5,6) is ________

Choices

Choice (4) Response

a.

(2,11)

b.

(11,2)

c.

(2,11)

d.

(11,2)

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