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ABC is a triangle formed by the lines xy...

ABC is a triangle formed by the lines xy = 0 and x + y = 1 .
Statement - 1 : Orthocentre of the triangle ABC is at the origin .
Statement - 2 : Circumcentre of `Delta`ABC is at the point (1/2 , 1/2) .

A

Statement -1 is True , Statement - 2 is true , Statement- 2 is a correct explanation for statement - 12

B

Statement-1 is True , Statement-2 is True , Statement -2 is not a correct explanation for Statement - 1 .

C

Statement-1 is True , Statement - 2 is False .

D

Statement - 1 is False , Statement -2 is True .

Text Solution

Verified by Experts

The correct Answer is:
B
The equation of the sides of `DeltaABC` are x = 0 , y = 0 and x + y = 1 . Clearly , `DeltaABC` is right angled triangle with right angle at the origin and coordinates the end-points of hypotenuse as (1,0) and (0,1) . So , orthocentre of the triangle is at the origin and circumcentre at the mid-point of its hypotenuse i.e. at (1/2 , 1/2) .
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