Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 8 - 13 of 81

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Question number: 8

» Coordinate Geometry

MCQ▾

Question

What will be the area of the rhombus ±by±c=0 ?

Choices

Choice (4) Response
a.

4c2ab

b.

c2ab

c.

2c2ab

d.

3c2ab

Question number: 9

» Coordinate Geometry

MCQ▾

Question

In what ratio is the line segment joining the points (5,7)and(3,6) is divided by Y-axis?

Choices

Choice (4) Response
a.

3: 5

b.

3: 2

c.

5: 3

d.

2:3

Question number: 10

» Coordinate Geometry

MCQ▾

Question

If P(2,4),Q(7,a)andR(9,6) are the vertices of a right angle triangle, right angle at P, then a is ________

Choices

Choice (4) Response
a.

21.5

b.

7.5

c.

19.5

d.

13.5

Question number: 11

» Coordinate Geometry

MCQ▾

Question

XYZ is an isosceles triangle. If the coordinates of the base are X(3,1)andY(0,2) , then the coordinates of the vertex Z can be

Choices

Choice (4) Response
a.

(2,7)

b.

(4, 5)

c.

(3,1)

d.

(8,6)

Question number: 12

» Coordinate Geometry

MCQ▾

Question

The coordinates of the mid-points of the sides of a triangle are (4,15),(5,2)and(1,4) . What will be the coordinates of the centroid of the triangle?

Choices

Choice (4) Response
a.

(0,3)

b.

(3, 0)

c.

(3, 1)

d.

(3, 0)

Question number: 13

» Coordinate Geometry

MCQ▾

Question

If the Points (a,0),(0,b)and(1,1) are collinear then which of the following is true?

Choices

Choice (4) Response
a.

1a+1b=2

b.

1a1b=1

c.

1a+1b=1

d.

1a1b=2

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