Search found 866 matches
- by goyalsau
Sun Jan 09, 2011 10:09 pm- Forum: Problem Solving
- Topic: AB
- Replies: 14
- Views: 2509
Sir, As far as i know when two triangle are similar ratio of there sides is equal , It does not mean that there ratio is equal to 1, When its ratio is equal to one then we can say that they are congruent. Take for example A right Angle Triangle with sides 3 , 4 , 5 & 6, 8 , 10 Both these triang...
- by goyalsau
Thu Jan 06, 2011 9:59 am- Forum: Problem Solving
- Topic: AB
- Replies: 14
- Views: 2509
http://s2.postimage.org/aetxzkv8/geo.jpg For the triangles OEB and OEM,, all the corresponding angles are equal in measure. Thus they are similar. Which means (EB/EM) = (OB/OM) = (OE/OE) = 1. Sir, As far as i know when two triangle are similar ratio of there sides is equal , It does not mean that t...
- by goyalsau
Thu Jan 06, 2011 9:43 am- Forum: Problem Solving
- Topic: AB
- Replies: 14
- Views: 2509
I think i got it, It like drawing a Circle with Center E, and Radius of the Circle is EM or EB , & OA and OB are tangents on the circle from the same point. In that case there length will also be equal............... When we join a tangent and the radius of the circle, Angle is always and Always...
- by goyalsau
Thu Jan 06, 2011 8:27 am- Forum: Problem Solving
- Topic: AB
- Replies: 14
- Views: 2509
Hats off to your approach Sir, But i would like to ask one thing. Here is another approach without assuming anything. http://s2.postimage.org/aetxzkv8/geo.jpg Refer to the image above. A perpendicular EM on AO is drawn from E. Now triangle OEB is congruent to triangle OEM. Thus, EM = EB = 2 cm and, ...
- by goyalsau
Thu Jan 06, 2011 8:21 am- Forum: Problem Solving
- Topic: AB
- Replies: 14
- Views: 2509
- by goyalsau
Thu Jan 06, 2011 4:50 am- Forum: Problem Solving
- Topic: AB
- Replies: 14
- Views: 2509
Solution: The two radii and the line joining the centres form a triangle with sides as 10, 17 and 21. So semi perimeter s = 1/2(10+17+21) = 24. Or area of triangle is sqrt(s(s-10)(s-17)(s-21)) = sqrt(24*14*7*3) = sqrt(3^2 * 4^2 * 7^2) = 84. Also area of triangle is 1/2*(height over side which is 21...
- by goyalsau
Wed Jan 05, 2011 10:53 pm- Forum: Problem Solving
- Topic: circle
- Replies: 17
- Views: 13847
circle
Two circles have their centres 21 cm apart. The radii of the circles are 10 cm and 17 cm. Find the length (in cm) of the common chord of the two circles.
8
12
16
18
24
- by goyalsau
Wed Jan 05, 2011 9:03 pm- Forum: Problem Solving
- Topic: circle
- Replies: 17
- Views: 13847
so answer should be 33.anshumishra wrote:Also, the only reason that 1 is treated separately is that sequence 6x+-1 will also include -1 when x=0.
- by goyalsau
Wed Jan 05, 2011 9:12 am- Forum: Problem Solving
- Topic: 24
- Replies: 9
- Views: 1355
n^2 =(24x + 1) where x is an integer. (n^2 -1) = 24x (n+1)(n-1) =24x 1/thus n has to be an odd number 2/ either n+1 or n-1 should be a multiple of 3 now start plugging in numbers... we for sure know n=1 n=5 n=7 n=13 n=17 n=19 n=23 n=25 n=29 now we see the repitition as n=31 n=35 n=37 thus we should...
- by goyalsau
Wed Jan 05, 2011 6:05 am- Forum: Problem Solving
- Topic: 24
- Replies: 9
- Views: 1355
24
How many natural numbers less than 100 when squared and then divided by 24 leave a remainder of 1?
- by goyalsau
Wed Jan 05, 2011 5:18 am- Forum: Problem Solving
- Topic: 24
- Replies: 9
- Views: 1355
I may be asking too many questions. But i have already spent by full day and still not sure whether i will be able to solve a different problem on this pattern..... :( First we got the value of x as (11x + 1), which was a multiple of 2, But we did not solve it beyond that In second case we got the v...
- by goyalsau
Wed Jan 05, 2011 4:55 am- Forum: Problem Solving
- Topic: N is the smallest Number.
- Replies: 11
- Views: 5031
if n is the smallest number that leaves respective remainders of 4, 6 and 9 when divided successively by 13, 11 and 15. The number should be written in the following ways, 1. n = 11a + 6 2. n = 13b + 4 3. n = 15c + 9 Where a, b, and c are non-negative integers. Our job is to combine all these three...
- by goyalsau
Tue Jan 04, 2011 11:38 pm- Forum: Problem Solving
- Topic: N is the smallest Number.
- Replies: 11
- Views: 5031
Note: I believe the original question belongs to CAT and it looks something like " Find the sum of the remainders obtained when a number n is divided by 9 and 7 successively, if n is the smallest number that leaves respective remainders of 4, 6 and 9 when divided successively by 13, 11 and 15....
- by goyalsau
Tue Jan 04, 2011 10:46 pm- Forum: Problem Solving
- Topic: N is the smallest Number.
- Replies: 11
- Views: 5031
N is the smallest Number.
I am not able to recall the technique by which by which we solve such problems........ Please Help Guys........
if n is the smallest number that leaves respective remainders of 4, 6 and 9 when divided successively by 13, 11 and 15. 
- by goyalsau
Tue Jan 04, 2011 8:47 pm- Forum: Problem Solving
- Topic: N is the smallest Number.
- Replies: 11
- Views: 5031