Online Short Questions Preparations

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Define circum-centre of a triangle.

• Ans 1: The point of intersection of the perpendicular bisectors of the sides of a triangle is called its circum-centre.

The xy-coordinate axes are translated through the point O' (4, 6). The coordinates of the point P are (2, -3) referred to new axes. Find the coordinates of P referred to the original axes.

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Define ortho-centre of a triangle.

• Ans 1: The ortho-centre of a triangle is the point of intersection of the lines through the vertices and perpendicular to the opposite sides (altitudes) of the triangle.

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Define centroid of a triangle.

• Ans 1: The centroid of a triangle is the point of intersection of its medians (the line joining a vertex to the middle point of the opposite side).

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Define translation of axes.

• Ans 1: in translation of axes, origin is shifted to another point in the plane but the axes remain parallel to the old axes.

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Define slope-intercept form of a line.

• Ans 1: The line y = mx + c is the slope-intercept form of a non-vertical straight line with slope m and y-intercept is c.

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Define translation of axes.

• Ans 1: in translation of axes, origin is shifted to another point in the plane but the axes remain parallel to the old axes.

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Define in-centre of a triangle.

• Ans 1: The point of intersection of the internal bisectors of the angles of the triangle is called its in-centre.

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Define ortho-centre of a triangle.

• Ans 1: The ortho-centre of a triangle is the point of intersection of the lines through the vertices and perpendicular to the opposite sides (altitudes) of the triangle.

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Define Trapezium.

• Ans 1: A quadrilateral having two parallel and two non-parallel sides is called Trapezium.

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Define translation of axes.

• Ans 1: in translation of axes, origin is shifted to another point in the plane but the axes remain parallel to the old axes.

Find the slope and inclination of the x-axis.

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