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#126 2019-07-19 15:39:07
- Jai 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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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
- Jai Ganesh
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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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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
- Jai Ganesh
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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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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
- Jai Ganesh
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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
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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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#134 2019-07-22 16:08:12
- Jai Ganesh
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Re: Coordinate Geometry
Hi,
.
CG#89. Check whether (5, -2), (6, 4), and (7, -2) are the vertices of an isosceles triangle.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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
- Jai Ganesh
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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
- Jai Ganesh
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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
- Jai Ganesh
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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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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
- Jai Ganesh
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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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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
- Jai Ganesh
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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
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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
- Jai Ganesh
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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
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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
- Jai Ganesh
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- Registered: 2005-06-28
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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
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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
- Jai Ganesh
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- Registered: 2005-06-28
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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
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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
- Jai Ganesh
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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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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
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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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