Rectangular Cartesian Coordinates Test

Result

Rectangular Cartesian Coordinates Test - 13

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Weekly Quiz Competition

Question 1
4 / -1

One of the vertices of a square is origin and adjacent sides of the square are coincident with positive axes.If side is 5 then which will not be its one of the vertex.

A
(0,5)

B
(5,0)

C
(–5, –5)

D
(0,0)
Question 2
4 / -1

The straight line x + y = 0, 3x + y – 4 = 0 and x + 3y – 4 = 0 form a triangle which is

A
Right angled

B
Equilateral

C
Isosceles

D
None of these

Solution
Question 3
4 / -1

If the distance between the points (a,2) and (3,4) be 8, then a =

A

B

C

D

Solution
Question 4
4 / -1

The point whose abscissa is equal to its ordinate and which is equidistant from the points (1,0) and (0,3) is

A
(1,1)

B
(2,2)

C
(3,3)

D
(4,4)

Solution
Question 5
4 / -1

A point equidistant from the point (2,0) and (0,2) is

A
(1,4)

B
(2,1)

C
(1,2)

D
(2,2)

Solution
Question 6
4 / -1

The length of altitude through A of the triangle ABC, where A ≡ (–3,0) ; B ≡ (4,–1) ; C ≡ (5,2) , is

A

B

C

D

Solution
Question 7
4 / -1

The distance of the middle point of the line joining the points (a sin θ, 0) and (0, a cos θ) from the origin is

A

B

C
a (sin θ + cos θ)

D
a

Solution
Question 8
4 / -1

The distance between the points (-115,105) and (100,105) is

A
– 215

B
– 15

C
15

D
215

Solution
Question 9
4 / -1

The ratio in which x-axis divides the join of the points (2,-3) and (5,6) is

A
2 : 1

B
1 : 2

C
2 : –1

D
None of these

Solution
Question 10
4 / -1

The points which trisect the segment joining the points (0,0) and (9,12) are

A
(3,4), (6,8)

B
(4,3), (6,8)

C
(4,3), (8,6)

D
(3,4), (8,6)

Solution