In the given figure, point O is orthocentre of $Δ A B C$ and points $D, E$ and $F$ are foot of the perpendiculars, then how many sets make the $4$ cyclic points from the point $O$ ?

4

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Solution

The correct option is B $3$
Since opposite angles of a cyclic quadrilateral are supplementary, therefore there are three sets of cyclic points. Three cyclic quadrilaterals are $□ O F A E$ , $□ O D B F$ and $□ O E C D$ .

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In the given figure, point O is orthocentre of ΔABC and points D,E and F are foot of the perpendiculars, then how many sets make the 4 cyclic points from the point O ?

The correct option is B 3Since opposite angles of a cyclic quadrilateral are supplementary, therefore there are three sets of cyclic points. Three cyclic quadrilaterals are □OFAE, □ODBF and □OECD.

In the given figure, point O is orthocentre of $Δ A B C$ and points $D, E$ and $F$ are foot of the perpendiculars, then how many sets make the $4$ cyclic points from the point $O$ ?

The correct option is B $3$
Since opposite angles of a cyclic quadrilateral are supplementary, therefore there are three sets of cyclic points. Three cyclic quadrilaterals are $□ O F A E$ , $□ O D B F$ and $□ O E C D$ .