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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 29,276

Hi,

651. Find the distance between the origin and the point

(a) (-6, 8)

(b)5, 12).

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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**666 bro****Member**- Registered: 2019-04-26
- Posts: 21

Hi, #651 solutions are

(a) 10 units

(b) 13 units

*Last edited by 666 bro (2019-10-19 04:17:27)*

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**seercalf****Member**- From: Kenya
- Registered: 2019-10-13
- Posts: 17

That's awesome Ganesh! I love mathletics. I'll be adding my exercises too.

Trust in God and do the right!

Trust in the Lord with all your heart and lean not on your own understanding; in all your ways submit to him, and he will make your paths straight. (**Proverbs 3 : 5-6**)

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 29,276

Hi 666 bro and seercalf,

666 bro: The solutions 10 units and 13 units respectively is correct. Neat work!

seercalf: Carry on!

652. Find the perimeter of a triangle whose vertices have the coordinates (3, 10), (5, 2), and (14, 12).

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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**666 bro****Member**- Registered: 2019-04-26
- Posts: 21

Hi

#652 solution is 32.89units

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 29,276

Hi,

The solution 652 is correct. Excellent, 666 bro!

653. Find the ratio in which the point (-1,k) divides the line joining the points (-3,10) and (6,-8).

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****Administrator**- Registered: 2005-06-28
- Posts: 29,276

Hi,

.

654. In what ratio does the point (-2,3) divide the line segment joining the points (-3,5) and (4,-9)?

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

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**666 bro****Member**- Registered: 2019-04-26
- Posts: 21

Hi

#654 solution is 1:6

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 29,276

Hi,

655. If the point C(1,1) divides the line segment joining A(-2,7) and B in the ratio 3 : 2, find the coordinates of B.

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

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**666 bro****Member**- Registered: 2019-04-26
- Posts: 21

#655 solution is ((-4/5) , (23/5)) .

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 29,276

Hi,

Good attempt!

656. Find the point on the x-axis which is equidistant from (2,-5) and (-2,9).

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

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 1,950

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 29,276

Hi,

657. Find the coordinates of the points of trisection of the line segment joining (4,-1) and (-2,-3).

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

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 29,276

Hi,

658. If

is divisible by , find the values of a and b.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 29,276

Hi,

659. Solve the equation by using formula.

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

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