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TS ICET 2016 Question Paper with Solutions for online practice
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© examsnet.com
Question : 5
Total: 200
Can we find the orthocentre of ΔABC ?
I.
A
B
2
=
A
C
2
−
B
C
2
II. AB + BC + CA = 100 cms
a
b
c
d
Validate
Solution:
Orthocentre is the point of intersection of the three altitudes of the triangle
I. Given :
A
B
2
=
A
C
2
–
B
C
2
⇒
A
B
2
+
B
C
2
=
A
C
2
Δ ABC is right angled at B and
AC is its hypotenuse
Hence, B is the orthocentre
∴ I alone is sufficient
© examsnet.com
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