Question

Assertion :Circumcentre of the triangle represented by the lines $x+y=0,x-y=0$ and $x-7=0$ is $(7,0)$ Reason: Circumcentre of a triangle lies inside the triangle.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

Reason is false as the circumcentre of an obtuse-angled triangle lies outside the triangle and that of a right angled triangle is the mid-point of the hypotenuse.
For assertion, the triangle is right angled,

the vertices of the hypotenuse $x-7=0$ are $(7,7)$ and $(7,-7)$ and the circumcentre is $(7,0)$.

So it is true.