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 | |
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a. | ||
b. | ||
c. | ||
d. |
Question 66
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 |
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 | |
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a. | ||
b. | ||
c. | ||
d. |
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 |
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 |
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 | |
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a. | ||
b. | ||
c. | ||
d. |