Consider the following statements 1 The point of intersection of the perpendicular bisectors of the ...........

Quantitative Aptitude (CDS) Coordinate Geometry

Consider the following statements:

1. The point of intersection of the perpendicular bisectors of the sides of a triangle may lie outside the triangle.

2. The point of intersection of the perpendiculars drawn from the vertices to the opposite sides of a triangle may lie on two sides.

Which of the above statements is/are correct?

1 only

2 only

Both 1 and 2

Neither 1 nor 2

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Explanation:

Statement 1:
Since the point of intersection of the perpendicular bisectors of the sides of a triangle is called circumcenter and the circumcenter for an obtuse triangle lie outside the triangle.
Hence statement 1 is correct.
Statement 2:
Also, since the point of intersection of the perpendiculars drawn from the vertices to the opposite sides of a triangle is called orthocenter and orthocenter cannot lie on two sides.
Hence statement 2 is incorrect.
Hence option(1)