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Question

Find the value of $$x$$ and $$y$$ from the figure.
705867_366ab732575042c586b23fd833940575.png


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

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

Mathematics

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