Rectangular Cartesian Coordinates Test

Result

Rectangular Cartesian Coordinates Test - 15

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Weekly Quiz Competition

Question 1
4 / -1

A triangle with vertices (4,0) , (–1,–1), (3,5) is

A
Isosceles and right – angled

B
Isosceles but not right – angled

C
Right angled but not isosceles

D
Neither right-angled nor isosceles

Solution
Question 2
4 / -1

A
Equilateral

B
Right – angled

C
Isosceles

D
None of the above

Solution
Question 3
4 / -1

The points A(–4, –1) , B(–2, –4) , C(4,0) and D(2,3) are the vertices of

A
Parallelogram

B
Rectangle

C
Rhombus

D
None of these

Solution
Question 4
4 / -1

If vertices of any quadrilateral are (0, –1), (2,1) , (0,3) and (–2,1), then it is a

A
Parallelogram

B
Square

C
Rectangle

D
Collinear

Solution
Question 5
4 / -1

If the vertices of a triangle be (a,b – c) , (b,c – a) and (c,a – b), then the centroid of the triangle lies

A
At origin

B
On x-axis

C
On y-axis

D
None of these

Solution
Question 6
4 / -1

If the vertices of a triangle be ((a,1), (b,3) and (4,c)) then the centroid of the triangle will lie on x-axis , if

A
a + c = –4

B
a + b = –4

C
c = –4

D
b + c = –4

Solution
Question 7
4 / -1

The vertices of triangle are (6,0) , (0,6) and (6,6) . The distance between its circumcentre and centroid is

A
1

B

C
2

D

Solution
Question 8
4 / -1

If two vertices of a triangle are (6,4) , (2,6) and its centroid is (4,6), then the third vertex is

A
(4,8)

B
(8,4)

C
(6,4)

D
None of these

Solution
Question 9
4 / -1

Orthocentre of the triangle formed by the lines x + y = 1 and xy = 0 is

A
(0,0)

B
(0,1)

C
(1,0)

D
(-1,1)

Solution
Question 10
4 / -1

If the co-ordinates of the points A,B,C be (4,4), (3,–2) and (3,–16) respectively, then the area of the triangle ABC is

A
27

B
15

C
18

D
7

Solution