Rectangular Cartesian Coordinates Test

Result

Rectangular Cartesian Coordinates Test - 16

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Question 1
4 / -1

The area of the triangle formed by the lines 7x – 2y + 10 = 0, 7x + 2y – 10 = 0 and y + 2 = 0 is

A
8 sq.unit

B
12 sq.unit

C
14 sq.unit

D
None of these

Solution
Question 2
4 / -1

The area of the triangle whose vertices (1,0), (7,0) and (4,0) and (4,4) is

A
8

B
10

C
12

D
14

Solution
Question 3
4 / -1

P(2,1), Q(4,-1), R(3,2) are the vertices of triangle and if through P and R lines parallel to opposite sides are drawn to intersect in S, then the area of PQRS is

A
6

B
4

C
8

D
12

Solution
Question 4
4 / -1

The vertices of the triangle ABC are (2,1) , (4,3) and (2,5). D,E,F are the mid-points of the sides . The area of the triangle DEF is

A
1

B
1.5

C
3

D
4

Solution
Question 5
4 / -1

If the area of the triangle with vertices (x,0), (1,1) and (0,2) is 4 sq. units , then a value of x is

A
–2

B
–4

C
–6

D
8

Solution
Question 6
4 / -1

One possible condition for the three points (a,b) (b,a) and (a² – b²) to be collinear is

A
a – b = 2

B
a + b = 2

C
a = 1 + b

D
a = 1 – b

Solution
Question 7
4 / -1

The orthocentre of the triangle formed by the lines x + y = 1, 2x + 3y = 6 and 4x – y + 4 = 0 lies in quadrant

A
First

B
Second

C
Third

D
Fourth

Solution
Question 8
4 / -1

If points (5,5) , (10,k) and (-5,1) are collinear , then k =

A
3

B
5

C
7

D
9

Solution
Question 9
4 / -1

The orthocentre of triangle formed by lines 4x – 7y + 10 = 0, x + y = 5 and 7x + 4y = 15 is

A
(1,2)

B
(1,–2)

C
(–1, –2)

D
(–1,2)

Solution
Question 10
4 / -1

If equation of three sides of a triangle are x = 2, y + 1 = 0 and x + 2y = 4, then co-ordinates of circumcentre of this triangle are

A
(4,0)

B
(2,–1)

C
(0,4)

D
(–1,2)

Solution