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Find a point on the circle from which perpendiculars to the chords are proportional to the lengths of the chords . 1 9. In any quadrilateral , skew or plane , Queen's University Examinations : April , 1911 .
Find a point on the circle from which perpendiculars to the chords are proportional to the lengths of the chords . 1 9. In any quadrilateral , skew or plane , Queen's University Examinations : April , 1911 .
psl.
( a ) Show how to obtain the inverse of a figure in relation to the circle x2 + y2 = a2 . ( b ) Prove that lx + my + n = 0 inverts into a circle through the origin . 5. The area of the triangle formed by three tangents to a parabola is ...
( a ) Show how to obtain the inverse of a figure in relation to the circle x2 + y2 = a2 . ( b ) Prove that lx + my + n = 0 inverts into a circle through the origin . 5. The area of the triangle formed by three tangents to a parabola is ...
psl.
A straight line APQ cuts a circle in A and P. Find the locus of Q when A is fixed , and AP.AQ constant . 2. ( a ) For a system of complanar points with multiples , ( a . AL ) = ( a . AM ) = 0 for two lines L and M. Prove that for a ...
A straight line APQ cuts a circle in A and P. Find the locus of Q when A is fixed , and AP.AQ constant . 2. ( a ) For a system of complanar points with multiples , ( a . AL ) = ( a . AM ) = 0 for two lines L and M. Prove that for a ...
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( b ) Prove that the area of a quadrilateral inscribed in a circle is ( s - a ) ( s b ) ( s c ) ( s d ) . 5. The distance between centres of two circles is 18 inches and their radii are 6 in . and 3 in .
( b ) Prove that the area of a quadrilateral inscribed in a circle is ( s - a ) ( s b ) ( s c ) ( s d ) . 5. The distance between centres of two circles is 18 inches and their radii are 6 in . and 3 in .
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Three points are taken at random on the circumference of a circle . Find the probability that they are the vertices of an acute - angled triangle . INTERMEDIATE HONOURS . DETERMINANTS AND THEORY OF EQUATIONS . 1.
Three points are taken at random on the circumference of a circle . Find the probability that they are the vertices of an acute - angled triangle . INTERMEDIATE HONOURS . DETERMINANTS AND THEORY OF EQUATIONS . 1.
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Bibliografinė informacija
| Pavadinimas | Examination Papers |
| Autorius | Queen's University (Kingston, Ont.) |
| Išleista | 1911 |
| Originalas iš | Harvardo universitetas |
| Pakeista skaitmenine forma | 31 gegužės 2007 |
| Eksportuoti šaltinį | BiBTeX EndNote RefMan |