Coordinate Geometry [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 65 - 71 of 88

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Question 65

Question MCQ▾

The area of a triangle is 5 square units, two of its vertices are . The third vertex lies on . What will be the third vertex?

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 66

Question MCQ▾

The distance between the points is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 67

Question MCQ▾

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

Choices

Choice (4)Response

a.

29 sq. units

b.

44 sq. units

c.

55 sq. units

d.

35 sq. units

Edit

Question 68

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 69

Question MCQ▾

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

Choices

Choice (4)Response

a.

3

b.

2

c.

4

d.

None of the above

Edit

Question 70

Question MCQ▾

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

Choices

Choice (4)Response

a.

8

b.

7

c.

14

d.

11

Edit

Question 71

Question MCQ▾

XYZ is an isosceles triangle. If the coordinates of the base are , then the coordinates of the vertex Z can be

Choices

Choice (4)Response

a.

b.

c.

d.

Edit