Articoli correlati a Analytical Geometry for Beginners; Part I. the Straight...
Sinossi
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1894 edition. Excerpt: ...x = y, x + y = 0. 9. The'straight line x + y = c cuts the circle a? + y2 = 2 (x + y) in P and Q, find the value of c (i) when OPQ is an equilateral triangle; (ii) when P and Q coincide. 10. Find the equation to the lines joining the origin to the points of intersection of x + y = 8x + Qy and j + = c and hence the value of c when the straight line touches the circle. 11. Find the equation to the lines joining the origin to the intersection of x +--2m (ax + by) + c = 0 and % +-= 1, o a and the value of m when the line touches the circle. 12. Find the value of c when the straight line whose equation is 5x + 12y = 150 touches the circle a? + yt-2x+4y + c = 0. 13. Find the equation to the circle which is inscribed in the triangle whose sides have for their equations x = 0, y--0, y = (x + a) tan 2a. 14. Find the relation between g and f, when the straight line ax + by = 0 touches the circle Xs + y + 2gx + 2fy = 0. 15. What is the value of g when the straight line 3-3y+ 2 = 0 touches the circle xt + y+ 2gx--iy + 6 = 01 16. Find the condition that x cos a + y sin a=p should touch the circle Xs + y2 + 2gx + %fy = 0. 17. The circles x2 + y + 2ax + 2by = 0, x2 + y2 + 2bx + 2ay = 0, cut orthogonally. 18. If += 1 touch x? + y2 + Ax + By + C = 0, 19. Find the equation to the circle which touches Ax + By + C = 0 and has its centre at (A, k). 20. Find the equation to the circle which has its centre on the axis of x, and cuts a? + y = 9, 5(x2 + y) = 9x, orthogonally. 21. Find the equation to the circle which passes through the points (a, b)-a,-and touches the axis of x. 22. Prove that the#straight line r cos (6--a) = a, touches the circle r = oat the point a, a. 23. Prove that the equation to the tangent to r = l cos (0--a), at the point for which 0 = /J,...
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
(nessuna copia disponibile)
Cerca: Inserisci un desiderataNon riesci a trovare il libro che stai cercando? Continueremo a cercarlo per te. Se uno dei nostri librai lo aggiunge ad AbeBooks, ti invieremo una notifica!
Inserisci un desiderata
