Question

# Find the value of $$x$$ and $$y$$ from the figure.

A
x=7,y=3
B
x=5,y=6
C
x=8,y=4
D
x=11,y=9

Solution

## The correct option is A $$x=7, y=3$$Perpendicular from centre to the chord bisects the chordTherefore, $$2y+1=y+4$$$$\Rightarrow 2y-y=4-1$$$$\Rightarrow y=3$$Perpendicular from centre to the chord bisrects the arc subtended by the chordTherefore, $${ (5x-18) }^{ \circ }={ (3x-4) }^{ \circ }$$$$\Rightarrow 5x-3x=-{ 4 }^{ \circ }+{ 18 }^{ \circ }\\ \Rightarrow 2x={ 14 }^{ \circ }\\ \Rightarrow x=\dfrac { { 14 }^{ \circ } }{ 2 } ={ 7 }^{ \circ }$$Option A is correct.Mathematics

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