Given: AO = 2 CO #160; AOCO = 2 .........(1)And, BO = 2 DO #160; BODO = 2 ..........(2)Equating both the equations, we getHence, OA ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Quadrilaterals

OA x OD = OB ...

Question

OA x OD = OB x OC

Open in App

Solution

Given: $A O = 2 C O$
$\frac{A O}{C O} = 2$ .........(1)
And, $B O = 2 D O$
$\frac{B O}{D O} = 2$ ..........(2)
Equating both the equations, we get
Hence, $\frac{O A}{O C} = \frac{O B}{O D}$
$O A \times O D = O B \times O C$

Suggest Corrections

Similar questions

O A = O B, O C = O D

∠ A O B = ∠ C O D

A C = B D

A B C D

O

O D = 9 c m, O B = x + y c m, O A = x - y

O C = 5 c m

x

y

A B

D C .

O A = (3 x - 4) c m, O B = (x + 3) c m, O C = 6 c m

O D = 3 c m,

x .

Join BYJU'S Learning Program