Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 1 - 7 of 81

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Question number: 1

» Coordinate Geometry

MCQ▾

Question

If 0.234343434=pq , then p+q is equal to ________

Choices

Choice (4) Response

a.

1542

b.

1222

c.

1352

d.

1333

Question number: 2

» Coordinate Geometry

MCQ▾

Question

Four vertices of a parallelogram taken in order are (15,17),(a,b),(11,13)and(13,16) . What will be the ratio of a and b?

Choices

Choice (4) Response

a.

12: 13

b.

13: 12

c.

14: 17

d.

13: 14

Question number: 3

» Coordinate Geometry

MCQ▾

Question

The area of triangle formed by the points (3p,2+4p),(3p,5p)and(4p,3p) is 60 units. How many values of p are possible?

Choices

Choice (4) Response

a.

74

b.

1128

c.

2811

d.

47

Question number: 4

» Coordinate Geometry

MCQ▾

Question

Find the area of the triangle whose vertices are (a,b+c),(a,bc) and (a,c)

Choices

Choice (4) Response

a.

b(a+c)

b.

2bc

c.

c(ab)

d.

2ac

Question number: 5

» Coordinate Geometry

MCQ▾

Question

Four vertices of a parallelogram taken in order are (6,4),(a,b),(2,2)and(5,8) . What will be the ratio of a and b?

Choices

Choice (4) Response

a.

4:5

b.

5:2

c.

2:3

d.

3:2

Question number: 6

» Coordinate Geometry

MCQ▾

Question

In what ratio is the line segment joining the points (3,2)and(6,1) is divided by Y-axis?

Choices

Choice (4) Response

a.

2: 1

b.

1: 3

c.

1: 2

d.

3: 1

Question number: 7

» Coordinate Geometry

MCQ▾

Question

In a ABC , coordinates of A are (1,2) and the equations of the medians through B and C are x+y=5 and x=4 respectively, so the coordinates of B and C are ________

Choices

Choice (4) Response

a.

(5,0),(4,2)

b.

(4,3),(7,2)

c.

(8,3),(4,5)

d.

(7,2),(4,3)

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