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You are not logged in. #276 20090305 15:43:04
Re: *** ProblemsAnswer to #238: Character is who you are when no one is looking. #277 20090306 02:51:19
Re: *** Problems#242. What is the coefficient of in the expansion of? #243. If the coefficient of x in the exapnsion of is 270, then what is the value of k? #244. What is the number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines? #245. What is the value of r if ? Character is who you are when no one is looking. #278 20090306 03:07:38
Re: *** Problems#246. What is the argument of #247. What is the value of if ? Character is who you are when no one is looking. #279 20090306 17:12:12
Re: *** Problems#248. Find the least positive integer n such that #249.Find the equation of the ellipse whose foci are (1,0) and (1,0) and whose eccentricity is . #250. A ladder 10 meters long rests against a vertical wall. If the bottom of the ladder slides away from the wall at the rate of 1 meter/second, how fast is the top oif the ladder sliding down the wall when the bottom of the wall is 6 meters from the wall? Character is who you are when no one is looking. #280 20090306 19:43:37
Re: *** Problems#251. If the polynomials and leave the same remainder when divided by (x3), what is the value of a?#252. If the quotient on dividing by (x+3) is , find the value of a. #253. Find the Greatest Common Divisor of and . #254. Simplify: . Character is who you are when no one is looking. #281 20090306 19:50:52
Re: *** Problems#255. Find the 5^{th} term of the Geometric Progression whose 3^{rd} term is and 7^{th} term is .#256. The sum of a Geometric Progression to infinite terms is 2 and the sum of their squares to infinite terms is . Find the series. #257. Three numbers are in Arithmetic Progression and their sum is 15. If 1, 3, and 9 are added to them, the numbers form a Geometric Progression. Find the numbers. Character is who you are when no one is looking. #282 20090307 01:32:50
Re: *** Problems#258. If the first, second, and last terms of an Arithmetic Progression are a, b, and c respectively, then what is the number of terms in the Arithmetic progression? Character is who you are when no one is looking. #283 20090308 01:30:25
Re: *** Problems#260. If and , then what is the value of ?#261. What is the value of k for which (x+2) is a factor of ? #262. Let f(n) denote the sum of the first n terms of an Arithmetic Progression. Then, what is f(n+3) 3f(n+2) + 2f(n+1) equal to? Character is who you are when no one is looking. #284 20090308 18:02:18
Re: *** Problems#263. A water tank has the shape of an inverted circular cone with radius 2 meters at the top and height 4 meters. If water is be pimped into the tank at the rate of 2 meter³/minute, find the rate at which the water level is rising when the water is 3 meters deep. Determine (i) the speed of the vehicle in Kilometers/hour at the instant the brakes are applied. (ii) the distance travelled by the vehicle before it stops. #265. Two sides of a triangle have lengths 12 meters and 15 meters. The angle between them is increasing at the rate of 2°/minute. How fast is the length of the third side increasing when the angle between the sdies of fixed lengths is 60°? Character is who you are when no one is looking. #285 20090309 00:43:54
Re: *** Problems#266. A watermelon is cut into two pieces in the ratio 3:5 by weight. The bigger of the two is further cut in the ratio of 5:7 by weight. Find the ratio of each of the three pieces. Character is who you are when no one is looking. #286 20090310 01:35:02
Re: *** Problems#268. If p:q = r:s = t:u = 2:3, then what is (mp+nr+ot) : (mq+ns+ou) equal to? Character is who you are when no one is looking. #287 20090312 07:01:53
Re: *** Problems#271. If , then what is the value of. #272. What is the value of k for which (x+2) is a factor of ? #273. What is the value of x if sin²x  2sinx + 1 = 0? #274. What is the Least Common Multiple of 3x²x, 3x²+x, and 9x²1? #275. Let f(n) denote the sum of first n terms of an Arithmetic Progression. What is f(n+3)  3f(n+2) + 2f(n+1) equal to? #276. If p and q are the roots of the equation , what is the value of p^{2}+q^{2}? #277. what is the logarithm of 19683 to the bases 3√3? #278. What are the values of A and B if ? #279. Simplify: . #280. If x and y are acute angles, then what is the value of x + y if ? Character is who you are when no one is looking. #288 20090312 07:17:50#289 20090312 16:08:55
Re: *** ProblemsAnswer to #276: and 90° < θ < 180°. #282. If a(cos 45°cos15°  sin45°sin15°) = 1, what is the value of a? #283. Given , what is the value of θ? Character is who you are when no one is looking. #290 20090314 01:15:24
Re: *** Problems#284. What is the value of #285. If tan θ + sin θ = m and tan θ  sin θ =n, then what is the value of m^{2}n^{2} in terms of m and n? Character is who you are when no one is looking. #291 20090315 20:48:34
Re: *** Problems#286. Solve: #287. Solve for x: . Character is who you are when no one is looking. #292 20090315 20:53:35
Re: *** Problems#288. If the n^{th} term of an Arithmetic Progression is (2n+1), find the sum of the first n terms of the Arithmetic Progression. Character is who you are when no one is looking. #293 20090315 23:16:45
Re: *** Problems#290. Find all the zeros of the polynomial if two of its zeros are √2 and √2. #291.If the polynomial is divided by another polynomial , the remainder obtained is x+a. Find k and a. Character is who you are when no one is looking. #294 20090318 06:34:37
Re: *** Problems#292. If x²  1 is a factor of show that a + c + e = b + d = 0. #293. Deceompose into partial fractions: . #294. The area of the curved surface of a cylinder is 4,400 square centimeters and the circumference of its base is 110 centimeters. Find the volume of the cylinder. #295. A hollow sphere of internal and external diameters 4 cm and 8 cm respectivelyis melted and cast into a cone of diamter 8 cm. Find the height of the cone. #296. Find the four numbers in Geometric Progression whose sum is 85 and their product is 4096. Character is who you are when no one is looking. #295 20090319 21:33:03
Re: *** Problems#297. Find the values of a and b if is a perfect square. #298. Find the values of a and b if is divisible by (x + 2) and (x  1). #299. Simplify: . #300. If p, q are the roots of the equation x^{2}  3x  4 = 0, form the equation whose roots are . Character is who you are when no one is looking. #296 20090320 07:49:10
Re: *** Problems#301. Divide the polynomial by the polynomial and give the quotient and the remainder. Character is who you are when no one is looking. #297 20090323 02:03:36
Re: *** Problems#302. Solve the following nonhomogeneous system of linear equations by determinant method: . #303. Solve by matrix inversion method: x + y + z = 9 2x + 5y + 7z = 52 2x + y  z = 0. Character is who you are when no one is looking. #298 20090326 03:12:44
Re: *** Problems#304. What is teh value of r if #305. What is the value of x if ? Character is who you are when no one is looking. #299 20090326 04:06:37
Re: *** Problems#306. What is the value of #307. If the coefficients of the (2r+1)^{th} and the (r + 2)^{th} terms in the expansion of are equal, what is the value of r? Character is who you are when no one is looking. #300 20090328 06:42:10
Re: *** Problems#308. Find the area of the quadrilateral whose vertices are (1, 6), (3, 9), (5, 8), and (3, 9). Character is who you are when no one is looking. 