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Re: *** Problems***11 are coplanar. Character is who you are when no one is looking. #54 20060316 15:15:35
Re: *** ProblemsExcellent, Ikcelaks! Your solution to Problem (11) is correct! I shall solve problem 8 and let you know whether you are correct! Character is who you are when no one is looking. #55 20060316 15:17:01
Re: *** Problems***12 Character is who you are when no one is looking. #56 20060317 02:59:51
Re: *** Problems
Why did the vector cross the road? It wanted to be normal. #57 20060317 03:32:20
Re: *** Problemsmathsyperson, Character is who you are when no one is looking. #58 20060319 15:42:20
Re: *** Problems***13. If the mth, nth and rth term of an Arithmetic Progression are in Geometric Progression, and m, n, and r are in Harmonic Progression, what is a/d of the Arithmetic Progression? (1+x)(2+x)(3+x)(4+x)..............(99+x)(100+x)? Character is who you are when no one is looking. #59 20060320 14:49:43
Re: *** Problems***15 The points (1,3) and (5,1) are the two opoosite vertices of a rectangle. The other two vertices lie on the line y=2x+c. Find c and the remaining vertices. Character is who you are when no one is looking. #60 20060321 02:41:25
Re: *** Problems***15 #62 20060321 14:41:32
Re: *** Problems***16 Find the incentre of a triangle whose vertices are (4,6), (2,5), and (2,3). ***19 Prove that the complex numberx z1, z2 and the origin form an equilateral triangle only if z1²+z2²2z1z2=0 ***20 The angles of a triangle are in the ratio 1:2:3. Show that the sides are in the ratio 1:√3:2. ***21 Prove that the maximum value of is obtained when x=e. Character is who you are when no one is looking. #64 20060322 17:05:24
Re: *** ProblemsVery well done, rm! Your answers other than ***16 are correct! Character is who you are when no one is looking. #65 20060324 14:33:57
Re: *** Problems***22. In the Cartesian plane, four points have coordiantes (1,1), (4,2), (4,4),and (1,4). What is the are of the quadrilateral formed by joining the four points? Character is who you are when no one is looking. #67 20060324 16:24:18
Re: *** ProblemsExcellent, rm! You are correct! Character is who you are when no one is looking. #68 20060324 23:33:56
Re: *** Problems***23 Find the sum of all numbers from 1 to 100 which are not divisible by 3 and 5. Character is who you are when no one is looking. #70 20060325 02:36:31
Re: *** ProblemsExcellent, Ikcelaks! Character is who you are when no one is looking. #71 20060401 06:50:48
Re: *** Problems***14 IPBLE: Increasing Performance By Lowering Expectations. #72 20060415 15:57:08
Re: *** ProblemsOUTSTANDING, krassi_holmz! We know where S would be the sum of the products of 1,2,3,4...100 taken two at a time. Therefore, the required number The summation formulas for n and n² have been used above. Therefore, the coeficient of would be 12582075. Character is who you are when no one is looking. #73 20060417 14:54:44
Re: *** Problems***24. AB is the hypotenuse of a rightangled triangle ABC. If BC=x and AB+AC=y, what is the value of SinA? what is the value of tan(A)? ***26. If where a+b+c≠0 and abc≠0, what is the value of (a+b)(b+c)(c+a)? Character is who you are when no one is looking. #74 20060418 14:19:17
Re: *** Problems***27 What is the remainder obtained when is divided by 78? ***28 What is the remainder obtained when is divided by 29? Character is who you are when no one is looking. #75 20060424 02:36:13
Re: *** Problems26. so: Last edited by krassi_holmz (20060424 02:44:06) IPBLE: Increasing Performance By Lowering Expectations. 