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## #1 2009-01-02 17:05:13

ganesh
Registered: 2005-06-28
Posts: 24,651

### Matriculation level - #n+3

1. The base BC of an equilateral ΔABC lies on y-axis. The coordinates of C are (0, -4). If the origin is the midpoint of the base BC, find the coordinates of the points A and B.

2. Find the value of

.

3. Using similar triangles, prove that the line drawn from the mid-point of one side of a triangle parallel to another side bisects the third side.

4. Prove that

.

5. Prove that

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #2 2009-01-03 02:30:29

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

### Re: Matriculation level - #n+3

ganesh wrote:

2. Find the value of

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## #3 2009-01-03 02:46:56

Daniel123
Member
Registered: 2007-05-23
Posts: 663

### Re: Matriculation level - #n+3

4. Easy given the fact that

Last edited by Daniel123 (2009-01-03 02:47:15)

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## #4 2009-01-03 03:03:50

ganesh
Registered: 2005-06-28
Posts: 24,651

### Re: Matriculation level - #n+3

To JaneFairfax and Daniel 123:-
Both of you are perfectly right, but these were meant for 14-15 year olds

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #5 2009-01-03 03:13:42

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

### Re: Matriculation level - #n+3

I want to be 1415 years old again.

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## #6 2009-01-04 01:08:45

Daniel123
Member
Registered: 2007-05-23
Posts: 663

### Re: Matriculation level - #n+3

I wasn't sure what 'matriculation level' was

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## #7 2009-01-05 00:21:04

ganesh
Registered: 2005-06-28
Posts: 24,651

### Re: Matriculation level - #n+3

Matriculation is the tenth year of schooling (in India), then the twelfth is Higher Secondary examination or Pre-University course (16-17 years of age).

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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