Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 72 - 76 of 86

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Question number: 72

» Coordinate Geometry

MCQ▾

Question

Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (12,6),(3,5),(9,2)and(10,11) .

Choices

Choice (4) Response

a.

712

b.

146

c.

115

d.

184

Question number: 73

» Coordinate Geometry

MCQ▾

Question

W(2,1),X(3,4)andY(2,3) is three vertices of the parallelogram WXYZ. The coordinates of fourth vertex is ________

Choices

Choice (4) Response

a.

(5,2)

b.

(3,2)

c.

(3,2)

d.

(2,3)

Question number: 74

» Coordinate Geometry

MCQ▾

Question

If the Points (a,1),(1,b)and(2,2) are collinear then which of the following is true?

Choices

Choice (4) Response

a.

b+aab=3

b.

ab+ab=3

c.

ba+ab=3

d.

abab=3

Question number: 75

» Coordinate Geometry

MCQ▾

Question

The vertices of ABC are A(2,1),B(6,2),C(8,9) . If AD is angle bisector, where D meets on BC, then coordinates of D are ________

Choices

Choice (4) Response

a.

(4,3)

b.

(5,2)

c.

(203,53)

d.

(143,73)

Question number: 76

» Coordinate Geometry

MCQ▾

Question

The two opposite vertices of a square are (1,2)and(3,2) , so the coordinates of the other two vertices are ________

Choices

Choice (4) Response

a.

(1,0),(1,4)

b.

(0,2),(2,4)

c.

(6,2),(4,2)

d.

Question does not provide sufficient data or is vague

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