Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 67 - 72 of 86

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Question number: 67

» Coordinate Geometry

MCQ▾

Question

If Equation are the midpoints of the sides ofEquation , the area of the triangle is ________

Choices

Choice (4) Response

a.

55 sq. units

b.

35 sq. units

c.

29 sq. units

d.

44 sq. units

Question number: 68

» Coordinate Geometry

MCQ▾

Question

The coordinates of the mid-points of the sides of a triangle areEquation . What will be the coordinates of the centroid of the triangle?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 69

» Coordinate Geometry

MCQ▾

Question

The area of triangle formed by the points Equation is 70 units. How many integral values of p are possible?

Choices

Choice (4) Response

a.

2

b.

4

c.

3

d.

None of the above

Question number: 70

» Coordinate Geometry

MCQ▾

Question

Find the area of the quadrilateral, the coordinates of whose angular points taken in order areEquation .

Choices

Choice (4) Response

a.

14

b.

7

c.

8

d.

11

Question number: 71

» 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: 72

» Coordinate Geometry

MCQ▾

Question

Find the area of the quadrilateral, the coordinates of whose angular points taken in order areEquation .

Choices

Choice (4) Response

a.

712

b.

146

c.

115

d.

184

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