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GeometryQuestion and Answers: Page 86

Question Number 62542    Answers: 1   Comments: 1

Question Number 62523    Answers: 1   Comments: 0

Question Number 62486    Answers: 2   Comments: 1

Question Number 62456    Answers: 1   Comments: 1

Question Number 62448    Answers: 1   Comments: 1

Question Number 62380    Answers: 1   Comments: 0

$${Prove}\:{that}\:{if}\:{the}\:{lengths}\:{of}\:{a}\: \\ $$$${triangle}\:{form}\:{an}\:{arithmetic} \\ $$$${progression},\:{then}\:{the}\:{centre}\:{of} \\ $$$${incircle}\:{and}\:{the}\:{centroid}\:{of} \\ $$$${triangle}\:{lie}\:{on}\:{a}\:{line}\:{parallel}\:{to} \\ $$$${the}\:{side}\:{of}\:{middle}\:{length}\:{of}\:{the} \\ $$$${triangle}. \\ $$

Question Number 62363    Answers: 2   Comments: 0

Question Number 62124    Answers: 0   Comments: 0

Question Number 62121    Answers: 2   Comments: 0

$${A}\:{cube}\:{of}\:{unit}\:{edge}\:{length}\: \\ $$$${is}\:{held}\:{before}\:{a}\:{plane}.\:{Prove}\:{that} \\ $$$${the}\:{sum}\:{of}\:{the}\:{squares}\:{of}\:{the} \\ $$$${projected}\:{lengths}\:{of}\:{edges}\:{of}\:{the}\:{cube} \\ $$$${on}\:{the}\:{plane}\:\left({irrespective}\:{of}\right. \\ $$$$\left.{the}\:{orientation}\:{of}\:{the}\:{cube}\right)\:{is}\:\mathrm{8}. \\ $$

Question Number 62096    Answers: 0   Comments: 0

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Question Number 61994    Answers: 1   Comments: 1

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Question Number 61952    Answers: 1   Comments: 1

Question Number 61912    Answers: 0   Comments: 1

Question Number 61864    Answers: 1   Comments: 3

Question Number 61861    Answers: 3   Comments: 5

Question Number 61825    Answers: 1   Comments: 0

Question Number 61775    Answers: 0   Comments: 1

Question Number 61762    Answers: 2   Comments: 1

Question Number 61733    Answers: 0   Comments: 1

$${Find}\:{the}\:{maximum} \\ $$$${volume}\:{tetrahedron}\:{inside}\:{an} \\ $$$${ellipsoid},\:{parameters}\:\boldsymbol{{a}},\boldsymbol{{b}},\boldsymbol{{c}}\:. \\ $$

Question Number 61569    Answers: 1   Comments: 3

Question Number 61559    Answers: 2   Comments: 1

Question Number 61554    Answers: 1   Comments: 1

Question Number 61521    Answers: 1   Comments: 0

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