X coordinate of incentre of a triangle that has coordinates of midpoint of its sides as (0,1)(1,1) (1,0) is :
ashwini , 11 Years ago
Grade
IIT JEE Entrance Exam> X coordinate of incentre of a triangle th...
2 AnswersSunil Kumar FP
thanks and regards
sunil kr
askIItian faculty
Kushagra Madhukar
Dear student,
Please find the solution to your problem.
The coordinates of the triangle using the mid points of sides are
A : (0, 0)
B : (0, 2)
C : (2, 0)
Let the length of opposite sides be a, b, c.
Length of side of triangle
a = √[(0 – 2)2 + (2 – 0)2] = 2√2
b = √[(0 – 2)2 + (0 – 0)2] = 2
c = √[(0 – 0)2 + (0 – 2)2] = 2
x co-ordinate of incenter = (axa + bxb + cxc)/(a + b + c)
= 2√2.0 + 2.0 + 2.2/(4 + 2√2)
= 4/(4 + 2√2)
= 2/(2 + √2)
= 2(2 – √2)/(4 – 2)
= 2 – √2
Thanks and regards,
Kushagra
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on iit jee entrance exam
Let S={x:x belongs to R(√3+√2)^(x^2-4) - (√3-√2)^(x^2-4)=10}. Then n(S) is equal to-
Let S={x:x belongs to R(√3+√2)^(x^2-4) - (√3-√2)^(x^2-4)=10}. Then n(S) is equal to-
iit jee entrance exam
1 Answer Available
Last Activity: 5 Months ago
My rank is 29k, General, should I opt for any state college cse branch or some Nits in which in which I am getting ECE , chemical, mechanics etc....
My rank is 29k, General, should I opt for any state college cse branch or some Nits in which in which I am getting ECE , chemical, mechanics etc....
iit jee entrance exam
1 Answer Available
Last Activity: 3 Years ago
How is Ranquer Eduzone,comparing, Akash,Fitjee,Resonance,Naryana
How is Ranquer Eduzone,comparing, Akash,Fitjee,Resonance,Naryana
iit jee entrance exam
1 Answer Available
Last Activity: 3 Years ago
Can class 9th students study syllabus class of 11th
Can class 9th students study syllabus class of 11th
iit jee entrance exam
3 Answers Available
Last Activity: 3 Years ago