Lec14 ( X G what ar X Lewis S X PF5 Lev X Lewis [ X G ammor X Edmon X Assign X G inverse X Desmo X Course X How to X + X F - C prod19.assign2.uofa.edufide.com/public/20221002/index.html#/le5vHLvvzMy6dhn_168688/online-assessment-submission * A Update Assessment : Assignment 5 - written component at the point ( 1, 4). 2 2 202 b) [8 pts] Let a, b, c, and d be some nonzero numbers. Show that the ellipse + y2 = 1 and the hyperbola yz 1 2 2 = 1 intersect at right angles whenever a2 - 62 = c2 + d2. Hints: (i) In terms of a and y, find the slopes mi and m2 of the tangent lines to the ellipse and hyperbola, respectively. (ii) if (x, y) is a point of intersection of the two given curves, then find an expression for 2. (iii) Using parts (i) and (ii), show that m1 . m2 = -1 is equivalent to a2 - b2 = c2 + d2. Uploaded files Drag & drop files here or click to upload (pdf, jpg and png files are supported. Max file size is 10mb) Q: 2 - 15 marks. a) [7 pts] Find y' in terms of a and y if 7 C ENG 10:53 PM Clear US 2022-10-15 3