Examination Papers |
Din interiorul cărții
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... triangle , having given its three medians . 7. Prove that the sum of the perpendiculars from any point within an equilateral triangle to the sides is constant . Explain the truth of the theorem when the point is without the triangle . 8 ...
... triangle , having given its three medians . 7. Prove that the sum of the perpendiculars from any point within an equilateral triangle to the sides is constant . Explain the truth of the theorem when the point is without the triangle . 8 ...
Pagina
... triangle is equal to the rectangle contained by the hypothenuse and the projection of the side on it . ( b ) From ( a ) deduce common expressions for ( i ) the square on the hypothenuse , ( ii ) the square on the altitude to the ...
... triangle is equal to the rectangle contained by the hypothenuse and the projection of the side on it . ( b ) From ( a ) deduce common expressions for ( i ) the square on the hypothenuse , ( ii ) the square on the altitude to the ...
Pagina
... triangle in terms of the sides . ( b ) The sides of a triangle are 14 , 21 , 27. Find the largest angle , using ( i ) natural functions , ( ii ) logarithmic functions . 6. Show that 2 tan − 1 } + tan14 = 7 . 7. ( a ) The homologous ...
... triangle in terms of the sides . ( b ) The sides of a triangle are 14 , 21 , 27. Find the largest angle , using ( i ) natural functions , ( ii ) logarithmic functions . 6. Show that 2 tan − 1 } + tan14 = 7 . 7. ( a ) The homologous ...
Pagina
... triangle with multiples proportional to the opposite sides is the incentre . 3. ( a ) Invert ( i ) two given circles , ( ii ) three given circles , into equal circles ; and point out a case where your method fails . ( b ) Give a ...
... triangle with multiples proportional to the opposite sides is the incentre . 3. ( a ) Invert ( i ) two given circles , ( ii ) three given circles , into equal circles ; and point out a case where your method fails . ( b ) Give a ...
Pagina
... quadrilateral , ( iii ) triangle . ( b ) State the polar reciprocal of the theorem of ( a ) ( iii ) . 9. The sides and diagonals of a normal quadrilateral cut any line in a six - point involution . PRELIMINARY HONORS . 1. If f ( x ) is.
... quadrilateral , ( iii ) triangle . ( b ) State the polar reciprocal of the theorem of ( a ) ( iii ) . 9. The sides and diagonals of a normal quadrilateral cut any line in a six - point involution . PRELIMINARY HONORS . 1. If f ( x ) is.
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