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The sides of a triangle are the straight lines `x+y=1,7y=x ,` and `sqrt(3)y+x=0` . Then which of the following is an interior point of the triangle? Circumcenter (b) Centroid Incenter (d) Orthocenter

A

Circumcenter

B

Centroid

C

Incenter

D

Orthocenter

Text Solution

Verified by Experts

The correct Answer is:
B, C

Clearly, from the figure, the triangle is obtuse-angled. Hence, the centroid and incenter lie inside the triangle. The orthcenter and circumcenter lie outside the triangle.
Therefore, it is an obtuse-angled triangle.
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CENGAGE-STRAIGHT LINES-Exercise (Multiple)
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  18. Let u-=a x+b y+a b3=0,v-=b x-a y+b a3=0,a ,b in R , be two straight l...

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