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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

The solution #6089 is correct. Neat work, bobbym!

#6090. In an infinite Geometric Progression, each term is equal to three times the sum of all the terms that follow it and the sum of the first two terms is 15. Find the sum of the series to infinity.

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

#6091. What is the lateral surface area of a cone whose slant height is 10 cm and base diameter is 14 cm?

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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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

The solution #6091 is correct. Good work, bobbym!

#6092. Solve:

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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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

The solutions in #6092 are correct. Neat work, bobbym!

#6093. Find the area of the quadrilateral ABCD given A(1,2), B(-3,4), C(-5,-6), and D(4,-1) (points are taken in order anticlockwise).

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

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

The solution #6093 is correct. Keep it up, bobbym!

#6094. Find the area of the quadrilateral PQRS given P(5,-2), Q(3,4), R(4,-7), and S(1,1) (points are not in order).

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

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

The solution #6094 is correct. Marvelous, bobbym!

#6095. Determine the value of 'a' such that (a,a), (2,3), and (4,-1) are collinear.

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

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

The solution #6095 is correct. Neat work, bobbym!

#6096. Without using distance formula, show that the points P(3,2), Q(0,-1), R(-3,-2), and S(0,1) are the vertices of a parallelogram.

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

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

The solution #6096 is correct. Neat work, bobbym!

#6097. Find the perimeter of the circular sector obtained by opening out a cone of base radius 5 cm and height 12 cm.

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

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

The solution #6097 is correct. Neat work, bobbym!

#6098. A cone of radius 5 cm and height 12 cm is opened out into a sector of circle. Find the central angle of the sector.

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

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

The solution #6098 is correct. Excellent, bobbym!

#6099. A(-2,1), B(2,1), and C(0,4) are the vertices of a triangle ABC. Find the slope of the altitude of AB.

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

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

Amended problem : #6099. A(-1,2), B(2,1), and C(0,4) are the vertices of a triangle ABC. Find the slope of the altitude of AB.

(Sorry for the inconvenience)

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

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

#6100. Find the equation of the perpendicular bisector of the line joining the points A(-1,2) and B(3,-4).

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

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,496

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

The solution #6100 is correct. Neat work, bobbym!

#6101. Find the quotient and remainder when

is divided by (x - 3).Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,604

Hi;

#6102. Find the range and coefficient of range of the following data:

59, 46, 30, 23, 27, 40, 52, 35, 29.

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

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