Science Examination PapersH.M. Stationery Office, 1899 - Examinations |
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Page 6
... parabola , and P , P2 are points on the curve . Calling A the vertex of the parabola , draw the curve such , that the area bounded by the double ordinate PP , and the portion of the curve PAP2 shall be 4 square inches in area . ( 20 ...
... parabola , and P , P2 are points on the curve . Calling A the vertex of the parabola , draw the curve such , that the area bounded by the double ordinate PP , and the portion of the curve PAP2 shall be 4 square inches in area . ( 20 ...
Page 58
... parabola intersect on the directrix . ( 55. ) 87. PQ is any diameter of a given conic , and D a fixed point on the conic ; the circle described about PQD cuts the conic again in R ; show that the locus of the intersection of PQ and RD ...
... parabola intersect on the directrix . ( 55. ) 87. PQ is any diameter of a given conic , and D a fixed point on the conic ; the circle described about PQD cuts the conic again in R ; show that the locus of the intersection of PQ and RD ...
Page 61
... parabola bisects all chords parallel to the tangent at its extremity , and passes through the point of intersection of tangents at the ends of any one of these chords . TP , TQ are tangents at P and Q to a parabola whose focus is S ...
... parabola bisects all chords parallel to the tangent at its extremity , and passes through the point of intersection of tangents at the ends of any one of these chords . TP , TQ are tangents at P and Q to a parabola whose focus is S ...
Page 63
... parabola intersect each other ? Give reasons for your answer , and draw diagrams illustrating the different cases possible . QM , PN are two ordinates of a parabola . If MN equal QM , and P ' be the point where PN meets the curve again ...
... parabola intersect each other ? Give reasons for your answer , and draw diagrams illustrating the different cases possible . QM , PN are two ordinates of a parabola . If MN equal QM , and P ' be the point where PN meets the curve again ...
Page 71
... parabola y2 = 4ax touches the parabola y2 4bx , the tangents at its extremities meet on the parabola by2 = 4a2x , and the normals on the curve- ( 4a - b ) 3 y2 = 462 ( x — 2a ) 3 . -- ( 50. ) 46. A point P describes an ellipse whose ...
... parabola y2 = 4ax touches the parabola y2 4bx , the tangents at its extremities meet on the parabola by2 = 4a2x , and the normals on the curve- ( 4a - b ) 3 y2 = 462 ( x — 2a ) 3 . -- ( 50. ) 46. A point P describes an ellipse whose ...
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acid Advanced Stage answer only eight answers strictly axis cancelled centre circle confine your answers copper cubic cubic foot curve cylinder D.Sc Describe descriptive geometry determine diagram diameter Draw eight questions Elementary Stage equal equation Explain F.R.S. GENERAL INSTRUCTIONS feet forbidden to write formula galvanometer Give an account given heat HONOURS-PART horizontal plane incomplete or inexact inexact answer INORGANIC CHEMISTRY Instructions on page larger number lasts for three length magnetic metal method nitric acid NOTE.-No Candidate number of marks obtained paper parabola permitted to answer plate poundals PRACTICAL EXAMINATION pressure Put the number question is shown questions proposed radius Read refractive index right angles shaft shown in brackets six questions sketches specific gravity square inch steam straight line subject lasts sulphuric acid surface take the Elementary tangent temperature three hours value attached velocity vertical vessel weight
Popular passages
Page 245 - ... subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle, Let ABC be an obtuse-angled triangle, having the obtuse angle ACB; and from the point A, let AD be drawn perpendicular to BC produced.
Page 46 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
Page 243 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles.
Page 158 - The value attached to each question is shown in brackets after the question. But a full and correct answer to an easy question will in all cases secure a larger number of marks than an incomplete or inexact answer to a more difficult one.
Page 50 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 315 - GENERAL INSTRUCTIONS. — If the rules are not attended to the paper will be cancelled. — You may take the Elementary, or the Advanced, or the Honours paper, but you must confine yourself to one of them.
Page 248 - Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides.
Page 44 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Page 148 - Put the number of the question before your answer. You are to confine your answers strictly to the questions proposed. Your name is not given to the Examiner, and you are forbidden to write to him about your answers.
Page 243 - Prove that parallelograms on the same base and between the same parallels are equal in area.