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  Item Reference: KCLCAL-1881-1882-641

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642 GENERAL LITERATURE AND SCIENCE 18 The tangent at any point Ρ of parabola meets the directrix and latus rectum in points equally distant from the focus 19 To draw pair of tangents to parabola from an external point 20 If QVbe an ordinate to the diameter P7 then QV2 4&P PF 21 If from the point of contact of tangent to parabola chord be drawn and another line be drawn parallel to the axis meeting the chord tangent and curve this line will be divided by them in the same ratio in which it divides the chord 22 Find the equation to the tangent at any point of an ellipse and express it in terms of the tangent of the angle which the straight line makes with the major axis of the ellipse Hence find the point in an ellipse at which the tangent is equally inclined to the axes 23 Find the equation to the ellipse referred to axes passing through the extremities of the minor axis and meeting at one extremity of the major axis 24 If an ellipse and hyperbola have the same foci their tangents at the points of intersection are at right angles XVIII -ffingluty £ang uaeje Give some account of the origin of the English language What are the languages in Europe nearest akin to it Mention some of the changes that have taken place in our grammar since the time of Chaucer By what foreign languages has our vocabulary been most affected Briefly describe the present condition of our language in respect both of grammar and vocabulary Mention as many words as you can that have come into English in the course of the present century
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