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0.000027^(2/3)=? ...
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Why do distant hills covered with trees appear blue? ...
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can someone geometrically prove... tan (-A) = -tan A ...
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Write a 2-digit number ab and the number obtained by reversing its digits i.e., ba. Find their sum. Let the sum be a 3-digit number dad.Find the values of a and d. ...
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Q) Find the maximum radius of a semi-circle that can be placed inside a square of side 'a' ...
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I've got a problem which I am not sure of the method of solving. 3x + 36 x 2 = 37 3x + 729 x 2 = 36 x 3 3x + 1458 = 729 x 3 3x = 2187 - 1458 3x = 729 3x = (3)6 x = 6 But isnt there any other method of solving? Please help ...
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*Image* Let a ΔABC with <BAC=60°. Bisectors of angles <ABC and <ACB be BE and CF respectively. Let BE and CF intersect at I(Incentre). So, we get <BIC=90°+1/2(<BAC) =120° So, <BIC=2<BAC. Therefore I i ...
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find x such that 1+ 1/1+ 1/1+ =x . . 1+ 1/x ...
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Given two straight lines. Can you show a bijective mapping of one onto the other? ...
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*Image* In the given figure, a chord AB of a circle of 10cm radius subtends a rt. angle at the centre O.Find the area of the sector OABC & of the major segment.(pie=3.14) ...
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This is a good prob from my Xth mathematika... and so i thought of sharing it with u all... *Image* ABCD is a square with each sides equal to 10 cm and in which ABC and BCD are the quadrants where arcs BD and AC intersect at ...
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Here an Isosceles triangle is inscribed in a square. The angle A is given by 15 degree... prove that the triangle formed below is an equilateral triangle. *Image* ...
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A lighthouse, facing north, sends out a fan-shaped beam of light extending fron north-east to north-west. An observer on a steamer, sailing due west, first sees the light when he is 5 km awayfrom the lighthouse, and continues ...
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1.Prove that the number between a pair of twin prime numbers is always divisible by 2. Twin prime numbers are prime numbers whose difference is 2. ...
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You people in 9th and 10th might find this really useful :) http://library.thinkquest.org/20991/alg2/graphs.html ...
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A man started from his home at 14:30 hrs and drove to a village, arriving there when the village clock indicated 15:15 hours. After staying for 25 minutes he drove back by a different route of length (5/4) times the 1st route ...
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If a number n can be expressed as sum of two perfect squares prove that 2^{17^{17^{17^{17}}}}n can also be expressed as sum of two squares. ...
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find all positive integers n for which n! + 5 is a perfect cube. ...
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let m and n be positive integers such that lcm(m,n) + gcd(m,n) = m+n. then prove one of the number is divisible by the other. ...
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How do you decide if or not a fraction is terminating? ...
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On a chessboard, the positive real numbers are entered into the squares in such a way that every number is the arithmetic mean of its neighboring squares . Is this possible? If possible then prove it. ...
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is 2.222...........= 10*(0.2222........) because 2.2222.... contains some infinite digits and 0.222.... contains another infinite digits also so, some infinite value = another infinite value ...
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In an A.P. the fourth and the seventh terms are 17 and 23 respectively. Now find 'd' and 'a'. ...
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Is 0 = 0? ...
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1/1+ 2 + 1/ 2 + 3 + 1/ 3 + 4 + 1/ 4 + 5 +.........................till + 1/ 15 + 16 . simplify this problem. ...
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2x2-7x+3=0 solve this quad. equation by completing the square method ...
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Help me prove that a} xo=1 b}If two triangles are equiangular ,then their corresponding sides are proportional. ...
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Is zero both +ve & -ve? Why can't any number be divided by 0? ...
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Prove that 2 is a rational or an irrational ...
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Find the least number which when divided by 24,32 and 36 leaves the remainder 19,27,31 respectively. can it be done using Euclid's division lemma. If yes then how? ...