Matric Part 2/10th Class Mathematics Chapter 6 Short Questions With Answer Preparation for Unit 6 Matrices and Determinants

What is the perpendicular bisector of the side of a triangle?

• Ans 1: A line segment which bisects any side of a triangle and make a right angle with the side at its midpoint is called the perpendicular bisector or the right bisector of the side of a triangle.

Define the angle bisector of a triangle.

• Ans 1: An angle bisector of a triangle is a line segment that bisects an angle of the triangle and has its other end on the side opposite to that angle.

What is meant by the altitude of a triangle?

• Ans 1: An altitude of a triangle is the line segment from a vertex of the triangle, perpendicular to the opposite side. Clearly, every triangle has three altitudes, one from each vertex.

Draw a rectangle whose one side is 8cm and the length of each diagonal is 10cm.

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Draw a circle of radius 2cm with center O. Draw a chord and shade the portion showing major arc.

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What are radii of the circle?

• Ans 1: All the points on the curved path are at a constant distance from the center and their distances are called radii of the circle.

Draw a circle of radius 2.5cm with center at O. Draw a chord and shade the portion showing the minor arc of the circle.

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Differentiate between the incenter and orthocenter of the triangle.

• Ans 1: Incenter:The point at which three angle-bisectors of a triangle meet, is called incenter of the triangle.
• Ans 2: Orthocenter:The point at which the altitudes of a triangle meet, is called orthocenter of the triangle.

What is meant by the median of a triangle?

• Ans 1: A median of a triangle is a line segment joining a vertex to the side to the vertex.

Draw a circle of radius 2cm with center O. Draw a chord and shade the portion showing major arc.

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Construct a rectangle with sides 10cm and 6cm.

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Define direct common tangent or external tangent.

• Ans 1: If the point of contact of a common tangent to the two circles are on the same side of the line joining their centers, then this common tangent is called direct common tangent or external tangent.

Draw an equilateral triangle with length of each side 6cm.

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Draw a circle with center O and any radius. Draw the diameter AB and shade one semicircular region.

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What is meant by the altitude of a triangle?

• Ans 1: An altitude of a triangle is the line segment from a vertex of the triangle, perpendicular to the opposite side. Clearly, every triangle has three altitudes, one from each vertex.

What are radii of the circle?

• Ans 1: All the points on the curved path are at a constant distance from the center and their distances are called radii of the circle.

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Draw a semi circle with diameter 4cm and center at O.

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