Question

the point (-2,-1),(1,0),(4,3)and(1,2)are the vertices of a
A) rectangle
B) parallelogram
C) Square
D) Rhombus​

Answer 1

Answer:

For a rectangle, the opposite sides need to be equal and diagonals also have to be equal.

Now by using

Distance Formula =

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Here coordinates of A are x

1

and y

1

and coordinates of B are x

2

and y

2

Similarly for other coordinates also.

Length AB=

(−2+4)

2

+(−4+1)

2

=

13

Length BC=

(4+2)

2

+(0+4)

2

=

52

Length CD=

(2−4)

2

+(3−0)

2

=

13

Length DA=

(−4−2)

2

+(−1+3)

2

=

52

Diagonal AC=

(4+4)

2

+(0+1)

2

=

65

Diagonal BD=

(2+2)

2

+(3+4)

2

=

65

ABCD are the vertices of a rectangle since AB=DC and AD=BC, also diagonal AC=BD.

Answer 2

Step-by-step explanation:

$\rm : \implies {\lim_{x \to 0}\ \dfrac{\sqrt{x\ +\ 1}\ -\ 1}{x}}$