exam Maths Puzzle Numerical Ability

prove that if two tangents TP and TQ are drawn to a circle with centre O from an external point T, then anglePTQ=2*angleOPQ

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exam Other Question

the length of a rectangle is 3 times the width. If the width were increased by 4 and the length remains the same the resulting rectangle would have an area of 231 sq.inches. find the dimension of the original. one positive integer is 7 less than twice another. the sum of their squares is 346. find the integers

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