Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 44 - 48 of 81

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Question number: 44

» Coordinate Geometry

MCQ▾

Question

Find the area of the triangle whose vertices are (1,4),(6,1) and (6,4)

Choices

Choice (4) Response

a.

1235

b.

1212

c.

325

d.

1213

Question number: 45

» Coordinate Geometry

MCQ▾

Question

In a JKL , coordinates of J are (2,5) and the equations of the medians through K and L is x+y=6 and x=3 respectively, so the coordinates of K and L are ________

Choices

Choice (4) Response

a.

(3,4),(2,4)

b.

(4,2),(4,3)

c.

(2,4),(3,4)

d.

(4,3),(4,2)

Question number: 46

» Coordinate Geometry

MCQ▾

Question

The coordinates of the third vertex of an equilateral triangle whose two vertices are at (3,4),(2,3) are ________

Choices

Choice (4) Response

a.

(1,7)

b.

(5,1)

c.

(5,5)

d.

(1+32,7532)or(132,7+532)

Question number: 47

» Coordinate Geometry

MCQ▾

Question

The coordinates of the mid-points of the sides of a triangle are (10,1),(2,11)and(2,5) . What will be the coordinates of the centroid of the triangle?

Choices

Choice (4) Response

a.

(37,0)

b.

(0,25)

c.

(32,0)

d.

(2,53)

Question number: 48

» Coordinate Geometry

MCQ▾

Question

Area of quadrilateral formed by the vertices (2,3),(6,5),(18,9)and(0,12) is ________

Choices

Choice (4) Response

a.

289 sq. units

b.

196 sq. units

c.

310 sq. units

d.

206 sq. units

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