Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 38 - 43 of 86

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Question number: 38

» Coordinate Geometry

MCQ▾

Question

The vertices of XYZ are X(3,2,0),Y(5,3,2),Z(9,6,3) . If XP is angle bisector, where P meets on YZ, then coordinates of P are ________

Choices

Choice (4) Response

a.

(1516,3316,1916)

b.

(3816,5716,1716)

c.

(4316,4716,1116)

d.

(916,516,716)

Question number: 39

» Coordinate Geometry

MCQ▾

Question

Points (5,0),(2,6),(2,6),(5,0),(2,6)and(2,6) are joined to form a quadrilateral. What will be the structure of quadrilateral?

Choices

Choice (4) Response

a.

Square

b.

Pentagon

c.

Cross

d.

Hexagon

Question number: 40

» Coordinate Geometry

MCQ▾

Question

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

Choices

Choice (4) Response

a.

5: 7

b.

1: 1

c.

7: 8

d.

3: 10

Question number: 41

» Coordinate Geometry

MCQ▾

Question

XYZ is an isosceles triangle. If the coordinates of the base are X(11,16)andY(18,14) , then the coordinates of the vertex Z can be

Choices

Choice (4) Response

a.

(7,2)

b.

(7, 2)

c.

(2,7)

d.

(2,7)

Question number: 42

» Coordinate Geometry

MCQ▾

Question

In what ratio is the line segment joining the points (4,6)and(1,7) is divided by X-axis?

Choices

Choice (4) Response

a.

6: 7

b.

7: 6

c.

3: 1

d.

1: 3

Question number: 43

» Coordinate Geometry

MCQ▾

Question

If the centroid of the triangle formed by the points (p,q),(q,r)and(r,p) is at the origin, then p3+q3+r3=_____

Choices

Choice (4) Response

a.

pqr

b.

0

c.

3pqr

d.

p+q+r

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