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Mathematics: Post your doubts here!

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B) i) cyclic ii) since tc and bo are parallel, alt. interior angles are equal so x = 40 . OA and OB are both radii so AOB is an isosceles triangle. Both base angles are equal and so 130 + 2y = 180 , y = 25 . Angle Z is supplementary to x + y becuase they are on a cyclic quadrilateral so, 180 - 25 - 40 = z , z = 115.

iii) angle oct is equal to 90 because angle between radius and a tangent is always 90.

iv) angle Aoc = 2 x z because they are on the same segment so Aoc = 230.
 
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B) i) cyclic ii) since tc and bo are parallel, alt. interior angles are equal so x = 40 . OA and OB are both radii so AOB is an isosceles triangle. Both base angles are equal and so 130 + 2y = 180 , y = 25 . Angle Z is supplementary to x + y becuase they are on a cyclic quadrilateral so, 180 - 25 - 40 = z , z = 115.

iii) angle oct is equal to 90 because angle between radius and a tangent is always 90.

iv) angle Aoc = 2 x z because they are on the same segment so Aoc = 230.
This is part A) I asked B) , thanks anyways
 
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Can anyone help me solve the graph question in oct/nov 2011 paper 41. Question 5. Much appreciated
 
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