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ABCD is a cyclic quadrilateral. Chord DE is the external bisector of ∠BDC. Prove that AE (or produced AE) is the external…
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Prove that the perpendicular drawn to a chord which is not a diameter, from the center of the circle, bisects the chord.
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Prove that the opposite angles of a cyclic quadrilateral are supplementary.
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If = 1, then find the value of .
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If a : b = b : c, prove that = 1
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If 15 farmers can cultivate 18 bighas of land in 5 days, determine by using the theory of variation the number of…
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If a = and ab = 1 calculate ( + )
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Find the simplest value of:
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If m + = √3, then find the value of (a) m² + and (b) m³ + .
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Form the quadratic equation whose roots are −4 and 3.
