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Re: *** Problems#311. Two dice are rolled once. Find the probability of getting an even number on the second die or the total of the face numbers being 10. Character is who you are when no one is looking. #302 20090330 04:04:18
Re: *** Problems#312. If verify . #313. Show that if . #314. Two dice are thrown together. What is the probability of getting a total of 8 or a product of 12? #315. Prove that . Character is who you are when no one is looking. #303 20090331 05:04:50
Re: *** Problems#316. Prove that #317.If a line passes through the midpoint of AB where A is (3,0) and B is (5,4) and makes an angle of 60° with tehe xaxis, find its equation. #318. The angle of elevation of a tower at a point is 45° . After going 20 meters towards the foot of the tower, the angle of elevation of the tower becomes 60° . Claculate the height of the tower. #319. Find the equation of the straight line joining the point of intersection of 3x  y + 9 = 0 and 2y = x  4 = 0 to the point of intersection of 2x + y = 4 and 2y = x + 3. #320.The vertices of a triangle are A(1,8), B(2,4), and C(8, 5). m and N are the midpoints of AB and AC. Show that MN is parallel to BC and . Character is who you are when no one is looking. #304 20090403 03:02:12
Re: *** Problems#321. In an Arithmetic progression, Find the first term and the common difference. #322. A cylndrical pillar is 3.5 meters in diameter and 20 meters high. Find its volume. #323. Find the point which divides the line joining the points (2, 6) and (3, 6) internally in the ratio 3:2. #324. Prove that the points (9,0), (1,4), and (11,1) are collinear. #325. If sin θ = cos θ, where θ is an acute angle, find the value of 2tan² θ  sin² θ  1. #326. The mean of 100 items is 48 and their standard deviation is 10. Find the sum of all the items and also the sum of the squares of all the items. #327. The sum of the three digits in a three digit number is 24. Twice the tenth digit is equal to the sum of the digits in the other two places. if 198 is added to the number, then the digits would be in the reversed order. Find the number. #328 : Factorize: . #329. If find . #330. The midpoints of three sides of a triangle are (5, 3), (5, 3), and (6, 6). Find the equations of the sides of the traingle. Character is who you are when no one is looking. #305 20090407 03:05:02
Re: *** Problems331. Find a and b if is a factor of . #332. Find the values of a and b if 9x2) is a common factor of . #333. If (x7) and (x4) are factors of , find the values of p and q. #334. If (x1), (x+2), and (x2) are the factors of , find a, b, and c. Character is who you are when no one is looking. #306 20090608 17:50:38
Re: *** Problems#335, Two dices contain the numbers from 1 to 6 and 1 to 6. By using these 6 numbers all calendar dates from 01 to 31 must be displayed by rearranging the dices in any way. What are the six numbers each dice contains? Character is who you are when no one is looking. #307 20090608 19:28:31
Re: *** Problems# 328 Can only have these rational roots {1/1,1/2,2/2,2/1,1,1/2,2} plugging them in we get roots of 2,1/2 and 1 Which means the factorization is of the form Last edited by bobbym (20091019 00:51:17) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #308 20090608 21:44:11
Re: *** ProblemsOutststading!!! Character is who you are when no one is looking. #309 20090612 23:32:22
Re: *** ProblemsHi ganesh; Last edited by bobbym (20090613 18:58:49) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #310 20090614 17:08:07
Re: *** ProblemsI shall let you know soon! Character is who you are when no one is looking. #311 20090618 11:14:11
Re: *** ProblemsThank you for the interesting and challenging puzzles Ganesh. Last edited by Fruityloop (20090619 04:01:04) The eclipses from Algol (an eclipsing binary star) come further apart in time when the Earth is moving away from Algol and closer together in time when the Earth is moving towards Algol, thereby proving that the speed of light is variable and that Einstein's Special Theory of Relativity is wrong. #312 20090622 23:17:55
Re: *** Problems
Last edited by bobbym (20090622 23:19:21) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #313 20111229 02:19:13
Re: *** Problemshi ganesh The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment 