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#126 2019-07-19 15:39:07

ganesh
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Re: Coordinate Geometry

Hi,

CG#85. Find the value of k for which the points (7, -2), (5, 1), and (3, k) are collinear.


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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#127 2019-07-19 18:58:09

Monox D. I-Fly
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Re: Coordinate Geometry


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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#128 2019-07-20 00:31:53

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

The solution CG#85 is correct. Excellent, Monox D. I-Fly!

CG#86. Find the value of k for which the points (8, 1), (k, -4), and (2, -5) are collinear.


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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#129 2019-07-21 14:31:23

Monox D. I-Fly
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From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: Coordinate Geometry


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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#130 2019-07-21 15:48:56

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

The solution CG#86 is correct. Excellent, Monox D. I-Fly!

CG#87. Find the distance between the points (0, 0) and (36, 15).


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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#131 2019-07-21 18:57:00

Monox D. I-Fly
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From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: Coordinate Geometry


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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#132 2019-07-21 22:16:27

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

The solution CG#87 is correct. Neat work, Monox D. I-Fly!

CG#88. Determine whether the points (1, 5), (2, 3), and (-2, -11)are collinear or not.


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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#133 2019-07-22 14:22:42

Monox D. I-Fly
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From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: Coordinate Geometry


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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#134 2019-07-22 16:08:12

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

.

CG#89. Check whether (5, -2), (6, 4), and (7, -2) are the vertices of an isosceles triangle.


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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#135 2019-07-24 00:40:16

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

CG#90. Find the values of y for which the distance between the points P(2, -3) and Q(10, y) is 10 units.


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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#136 2019-07-25 14:56:26

ganesh
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Posts: 30,847

Re: Coordinate Geometry

Hi,

CG#91. Find the area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4), and (-2, -1) taken in order. (Hint : Area of a rhombus =  ½ x (product of its diagonals)).


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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#137 2020-01-05 03:12:18

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

CG#92. Find the coordinates of a point A, where AB is the diameter of a circle whose center is (2,-3) and B is (1,4).


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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#138 2020-01-18 00:51:39

666 bro
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From: Flatland
Registered: 2019-04-26
Posts: 328

Re: Coordinate Geometry

Hi
Solution of CG#92 is A(3, -10).


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#139 2020-01-18 02:34:02

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

Excellent! The solution CG#92 is correct!

CG#93. Find the area of a triangle whose vertices are (-5, -1), (3, -5), and (5, 2).


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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#140 2020-03-30 18:43:24

666 bro
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From: Flatland
Registered: 2019-04-26
Posts: 328

Re: Coordinate Geometry

Cg#93 is 32 sq units


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#141 2020-03-31 00:57:31

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

The solution CG#93 is correct. Neat work!

CG#94. Find a relation between x and y if the points (x,y), (1,2), and (7,0) are collinear.


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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#142 2020-04-07 15:52:24

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 328

Re: Coordinate Geometry

Cg#94 is :x+3y=7.


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#143 2020-04-07 17:43:19

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

Neat work!

CG#95. Find the ratio in which the point (-3,p) divides the line segment joining the points (-5,-4) and (-2,3). Hence, find the value of p.


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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#144 2020-06-16 02:01:24

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 328

Re: Coordinate Geometry

CG#95. ∴ the ratio is 2:1 and the value of p =(2/3)


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#145 2020-06-16 13:46:42

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

Neat work!

CG#96. Find the value of k if the points A(2,3), B(4,k), and C(6,-3) are collinear.


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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#146 2020-06-17 02:09:44

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 328

Re: Coordinate Geometry

CG#96 The value of k=0


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#147 2020-06-17 14:33:37

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

Hi,

Good work!

CG#97. The vertices of a triangle are (8,-4), (9,5), and (0,4). Prove that the triangle is an isosceles triangle.


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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#148 2020-06-18 02:02:21

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 328

Re: Coordinate Geometry

let the vertices of the triangle be labeled as A,B and C where
A =(8,-4)
B= (9,5)
and C=(0,4)
now ,distance of AB =
   using distance formula  = √( (x₂-x₁))^(2)+( (y₂-y₁) )^(2) )⃗, we get
                                               =√(  (9-8)^(2) )+(5+4)^(2) )
                                                =√(82) units.

distance of BC   =    √( (0-9)^(2)+(4-5)^(2) )
                             =  √(82) units

distance of AC    =   √( (8-0)^(2)+(4+4)^(2) )
                              =  (8√(2)) units

∴   distance of ab = distance of bc = √(82) units
     ∆ABC is an isosceles triangle.

Last edited by 666 bro (2020-06-18 02:02:57)


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#149 2020-06-18 12:44:27

ganesh
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Registered: 2005-06-28
Posts: 30,847

Re: Coordinate Geometry

The solution CG#97 is correct. Neat work!

CG#98. Find the co-ordinates of the mid-point of 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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#150 2020-06-19 02:37:27

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 328

Re: Coordinate Geometry

Let the line joining points will be AB, where
A=(-3,10)
B=(6,-8)
let the coordinates of the mid point(m) will be =m(x,y)
now, midpoint of AB(m) =
using midpoint formula   (m(x,y)) =   (  (x₁+x₂)/2 , (y₁+y₂)/2  ) , we get
                                                            =  (   (-3+6)/2 , ( 10-8)/2  )
                                           m(x,y)      =   ( 3/2 , 1 )
                     ∴   the coordinates of the midpoint (m) =  ( 3/2 , 1)

Last edited by 666 bro (2020-06-19 02:39:41)


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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