Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 66 - 71 of 86

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Question number: 66

» Coordinate Geometry

MCQ▾

Question

The distance between the points (acosθ+bsinθ,0)and(0,asinθbcosθ) is ________

Choices

Choice (4) Response

a.

a2+b2

b.

a2+b2

c.

a+b

d.

a2b2

Question number: 67

» Coordinate Geometry

MCQ▾

Question

If J(3,0),K(4,1)andL(5,2) are the midpoints of the sides of MNO , the area of the triangle is ________

Choices

Choice (4) Response

a.

55 sq. units

b.

35 sq. units

c.

29 sq. units

d.

44 sq. units

Question number: 68

» Coordinate Geometry

MCQ▾

Question

The coordinates of the mid-points of the sides of a triangle are (2,7),(5,5)and(8,9) . What will be the coordinates of the centroid of the triangle?

Choices

Choice (4) Response

a.

(7,5)

b.

(5,7)

c.

(5,7)

d.

(5,7)

Question number: 69

» Coordinate Geometry

MCQ▾

Question

The area of triangle formed by the points (p,22p),(1p,2p)and(4p,62p) is 70 units. How many integral values of p are possible?

Choices

Choice (4) Response

a.

2

b.

4

c.

3

d.

None of the above

Question number: 70

» Coordinate Geometry

MCQ▾

Question

Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (4,7),(2,6),(2,5)and(3,7) .

Choices

Choice (4) Response

a.

14

b.

7

c.

8

d.

11

Question number: 71

» Coordinate Geometry

MCQ▾

Question

XYZ is an isosceles triangle. If the coordinates of the base are X(1,1)andY(2,3) , then the coordinates of the vertex Z can be

Choices

Choice (4) Response

a.

(8,5)

b.

(3,2)

c.

(3,1)

d.

(4,8)

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