Question

The points (–a, – b), (0, 0), (a, b) and (a², ab) are :
(a) Collinear
(b) Vertices of a parallelogram
(c) Vertices of a rectangle
(d) None of these

Answer 1

a and c are correct.....

Answer 2

Answer:

Step-by-step explanation:

Let the points be A(−a,−b),O(0,0),B(a,b) and C(a  

2

,ab)

Slope

of the line passing through points (x  

1

​  

,y  

1

​  

)

and (x  

2

​  

,y  

2

​  

) =  

x  

2

​  

−x  

1

​  

 

y  

2

​  

−y  

1

​  

 

​  

 

So, slope of the line joining OA =  

−a−0

−b−0

​  

=  

a

b

​  

 

Slope of the line joining OB =  

a−0

b−0

​  

=  

a

b

​  

 

Slope of the line joining OC =  

a  

2

−0

ab−0

​  

=  

a

b

​  

 

Since slopes of the lines, OA, OB, OC are equal, they are all collinear.