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Q.

The coordinates of base $B C$ of an isosceles triangle $A B C$ are given by $B (0, 0)$ and $C (4, 0)$ . Then orthocentre, circumference, centroid and incentre of $Δ A B C$ lie on

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a

x = 1

b

y = 1

c

x = 2

d

y = 2

answer is C.

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Detailed Solution

Orthocentre, circumcentre, centroid and incentre of an isosceles triangle

A B C

whose base

B C

should lie on perpendicular base

$∴ i .e ., x = 2$

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The coordinates of base BC of an isosceles triangle ABC are given by B(0,0) and C(4,0) . Then orthocentre, circumference, centroid and incentre of ΔABC lie on