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

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.

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.

What is meant by transverse common tangent or internal tangent?

• Ans 1: If the center of two circle lines either side of the common tangent then it is called transverse common tangent or internal tangent.

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

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Construct a rectangle whose adjacent sides are 4cm and 3cm.

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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.

Construct a rectangle with sides 10cm and 6cm.

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Arc the angle bisectors of a triangle meet at a point?

• Ans 1: The angle bisectors of a triangle are concurrent, that is they meet at a point.

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.

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Arc the angle bisectors of a triangle meet at a point?

• Ans 1: The angle bisectors of a triangle are concurrent, that is they meet at a point.

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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.

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.

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Construct a rectangle with sides 10cm and 6cm.

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

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What is the difference between tangent line and point of tangency of a circle?

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