Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 20 - 25 of 81

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 889 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 400.00 or

Question number: 20

» Coordinate Geometry

MCQ▾

Question

Find the area of triangle if the coordinates of vertices are (10,5),(8,4)and(6,6) is ________

Choices

Choice (4) Response

a.

9 sq. units

b.

5 sq. units

c.

2 sq. units.

d.

3 sq. units

Question number: 21

» Coordinate Geometry

MCQ▾

Question

Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (3,2),(4,8),(2,1)and(3,5) .

Choices

Choice (4) Response

a.

8

b.

6

c.

12

d.

10

Question number: 22

» Coordinate Geometry

MCQ▾

Question

Find the area of triangle if the coordinates of vertices are (9,5),(2,7)and(6,3) is ________

Choices

Choice (4) Response

a.

20.5 sq. units.

b.

19.3 sq. units

c.

33.5 sq. units

d.

45.2 sq. units

Question number: 23

» Coordinate Geometry

MCQ▾

Question

If the centroid of the triangle formed by the points (a,b),(b,c)and(c,a) is at the origin, then a2+b2+c2=_____

Choices

Choice (4) Response

a.

2(ab+bc+ca)

b.

3ab+3bc+3ca

c.

2ab+bc+ca

d.

2abc+2ab+2bc+2ca

Question number: 24

» Coordinate Geometry

MCQ▾

Question

Find the area of the triangle whose vertices are (3,4),(4,3) and (8,6)

Choices

Choice (4) Response

a.

3525

b.

5352

c.

3552

d.

5325

Question number: 25

» Coordinate Geometry

MCQ▾

Question

XYZ is an isosceles triangle. If the coordinates of the base are X(5,9)andY(2,5) , then the coordinates of the vertex Z can be

Choices

Choice (4) Response

a.

(8,16)

b.

(14,5)

c.

(6,15)

d.

(7,14)

Sign In