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 Equation are Equation . If XP is angle bisector, where P meets on YZ, then coordinates of P are ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 39

» Coordinate Geometry

MCQ▾

Question

Points Equation 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 Equation 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 Equation , then the coordinates of the vertex Z can be

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 42

» Coordinate Geometry

MCQ▾

Question

In what ratio is the line segment joining the points Equation 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 Equation is at the origin, then Equation

Choices

Choice (4) Response

a.

Equation

b.

0

c.

Equation

d.

Equation

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