Rectangular Cartesian Coordinates Test

Result

Rectangular Cartesian Coordinates Test - 14

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Question 1
4 / -1

The line x + y = 4 divides the line joining the points (-1,1) and (5,7) in the ratio

A
2 : 1

B
1 : 2

C
1 : 2 externally

D
None of these

Solution
Question 2
4 / -1

Three vertices of a parallelogram taken in order are (–1 , –6) , (2,–5) and (7,2) . The fourth vertex is

A
(1,4)

B
(4,1)

C
(1,1)

D
(4,4)

Solution
Question 3
4 / -1

The points (1,2), (2,3) and (3,4) form the vertices of a triangle . The centroid of the triangle has co-ordinates

A
(4,5)

B
(3,2)

C
(2,3)

D
(6,9)

Solution
Question 4
4 / -1

If the point (a,a) are placed in between the lines |x + y| = 4, then

A
|a| = 2

B
|a| = 3

C
|a| < 2

D
|a| < 2

Solution
Question 5
4 / -1

The line joining points (2,–3) and (–5,6) is divided by y-axis in the ratio

A
2 : 5

B
2 : 3

C
3 : 5

D
1 : 2

Solution
Question 6
4 / -1

If P(1,2) , Q(4,6) , R(5,7) and S(a,b) are the vertices of a parallelogram PQRS , then

A
a = 2,b = 4

B
a = 3,b = 4

C
a = 2,b = 3

D
a = 3,b = 5

Solution
Question 7
4 / -1

The triangle joining the points P(2,7), Q(4,–1), R(–2,6) is

A
Equilateral triangle

B
Right-angled triangle

C
Isosceles triangle

D
Scalene triangles

Solution
Question 8
4 / -1

A
An equilateral triangle

B
An isosceles triangle

C
A right-angled triangle

D
None of these

Solution
Question 9
4 / -1

A
An equilateral triangle

B
An isosceles triangle

C
A right angled triangle

D
None of these
Question 10
4 / -1

The points (3a, 0), (0, 3b) and (a,2b) are

A
Vertices of an equilateral triangle

B
Vertices of an isosceles triangle

C
Vertices of a right-angled isosceles triangle

D
Collinear

Solution