Question

In the given figure if AB||CD then the value of 'x' is DO=2x-1 AO=5 BO=2x+4 CO=4x-2 a) 2 units

b) 4 units

c) 3 units

d) 5units​

Answer 1

Answer:

In the given figure if AB||CD then the value of 'x' is DO=2x-1 AO=5 BO=2x+4 CO=4x-2 a) 2 u

d) 5units

Answer 2

Given :- In the given figure if AB||CD then the value of 'x' is DO=2x-1 AO=5 BO=2x+4 CO=4x-2

a) 2 units

b) 4 units

c) 3 units

d) 5units

Solution :-

since AB is parallel to CD . so, ABCD must be a trapezium .

we know that, in trapezium ,

• The diagonals of a trapezium divide each other proportionally .

so,

→ AO/CO = BO/DO

putting given values we get,

→ 5/(4x - 2) = (2x + 4)/(2x - 1)

→ 5(2x - 1) = (4x - 2)(2x + 4)

→ 10x - 5 = 8x² + 16x - 4x - 8

→ 8x² + 2x - 3 = 0

→ 8x² - 4x + 6x - 3 = 0

→ 4x(2x - 1) + 3(2x - 1) = 0

→ (4x + 3)(2x - 1) = 0

→ x = (-3/4) and (1/2) .

given options are not correct or data is not correctly written .

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