Coordinate Geometry (IMO- Mathematics Olympiad Class 10): Questions 32 - 37 of 86

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Question number: 32

» Coordinate Geometry

MCQ▾

Question

If P(6,3),Q(9,a)andR(12,5) are the vertices of a right angle triangle, right angle at P, then a is ________

Choices

Choice (4) Response

a.

11

b.

6

c.

10

d.

12

Question number: 33

» Coordinate Geometry

MCQ▾

Question

Find the area of triangle if the coordinates of vertices are (3,1),(1,3)and(1,1) is ________

Choices

Choice (4) Response

a.

3 sq. units

b.

5 sq. units

c.

9sq. units

d.

8sq. units.

Question number: 34

» Coordinate Geometry

MCQ▾

Question

Find the area of triangle if the coordinates of vertices are (2,1),(3,2)and(72,132) is ________

Choices

Choice (4) Response

a.

3 sq. units

b.

5 sq. units

c.

4 sq. units

d.

7 sq. units

Question number: 35

» Coordinate Geometry

MCQ▾

Question

P(1,2),Q(4,3)andR(6,6) is three vertices of the parallelogram PQRS. The coordinates of fourth vertex is ________

Choices

Choice (4) Response

a.

(3,5)

b.

(5,3)

c.

(3,5)

d.

(5,3)

Question number: 36

» Coordinate Geometry

MCQ▾

Question

Four vertices of a parallelogram taken in order are (5,8),(a,b),(3,6)and(3,5) . What will be the ratio of a and b?

Choices

Choice (4) Response

a.

7:3

b.

2: 9

c.

3: 7

d.

1: 9

Question number: 37

» Coordinate Geometry

MCQ▾

Question

PQR is an isosceles triangle. If the coordinates of the base are Q(1,3)andR(2,7) , then the coordinates of the vertex P can be

Choices

Choice (4) Response

a.

(4,72)

b.

(2,5)

c.

(56,6)

d.

None of the above

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