First slide

Equation of line in Straight lines

Question

If the equations of the sides of a triangle are x + y = 2, y = x and $\sqrt{3} y + x = 0$ , then which of the following is an exterior point of the triangle?

Moderate

A

orthocentre
B

incentre
C

centroid
D

none of these

Solution

The lines y = x and $\sqrt{3} y + x = 0$ , are inclined at $45^{0}$ and $150^{0}$ , respectively, with the positive direction of x-axis. So, the angle between the two lines is an obtuse angle. Therefore, orthocentre lies outside the given triangle, whereas incentre and centroid lie within the triangle (In any triangle, the centroid and the incentre lie within the triangle).

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App