Question

24. ପ୍ରଶ୍ନ ଚିହ୍ନ ସ୍ଥାନରେ କେଉଁ ସଂଖ୍ୟା ରହିବ ? """ 13 3 (127719 57gY6) (8X5Y 2 X2 4 21 5 X12X? 3 12 7 16 (A) 4 (B) 6 (D) 12 (C) 8​

Answer 1

Answer:

Let A(1,2), B(4,y),C(x,6) and D(3,5) are the vertices of a parallelogram ABCD

.AC and BD are the diagonals .

O is the midpoint of AC and BD.

If O is the mid-point of AC ,then the coordinates of O are =(

2

1+x

​

,

2

2+6

​

)=(

2

x+1

​

,4)

If O is the mid-point of BD then coordinates of O are (

2

4+3

​

,

2

5+y

​

)=(

2

7

​

,

2

5+y

​

)

Since both coordinates are of the same point O

∴

2

1+x

​

=

2

7

​

⇒1+x=7

⇒x=7−1=6

∴

2

5+y

​

=4

⇒5+y=8

⇒y=8−5=3

Hence x=6 and y=3.

Step-by-step explanation: