Class 10 · ICSE · Mathematics

Constructions

Constructing tangents to a circle, circumscribing and inscribing circles on a triangle and a regular hexagon.

Questions: 13
PYQs: 0
Topics: 0

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Questions

13 questions in this chapter.

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Class 10 · Mathematics · Constructions
Construct a triangle ABC with BC = 6 cm, angle B = 60° and AB = 5 cm, then construct the perpendicular from A to BC.
3 marksMediumDiagram based
Answer available
Class 10 · Mathematics · Constructions
Construct a triangle ABC with AB = 6 cm, BC = 7 cm and CA = 5 cm, and then construct its circumcircle. State how the centre is found.
3 marksMediumDiagram based
Answer available
Class 10 · Mathematics · Constructions
Construct a triangle with sides 5 cm, 6 cm and 7 cm and then construct its incircle. State how the centre and the radius are found.
3 marksMediumDiagram based
Answer available
Class 10 · Mathematics · Constructions
Explain why the circumcentre of an obtuse-angled triangle lies outside the triangle.
3 marksMediumShort answer
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Class 10 · Mathematics · Constructions
Construct a circle of radius 4 cm and, from a point 7 cm from its centre, construct the two tangents to the circle. State the length of each tangent.
3 marksMediumDiagram based
Answer available
Class 10 · Mathematics · Constructions
The number of tangents that can be drawn to a circle from a point on the circle is:
1 markMediumMCQ
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Class 10 · Mathematics · Constructions
Construct a circle of radius 3 cm and mark a point P on it. Construct the tangent to the circle at P and justify the construction.
3 marksMediumDiagram based
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Class 10 · Mathematics · Constructions
In constructing tangents from an external point P to a circle with centre O, why is a circle drawn on OP as diameter?
3 marksMediumShort answer
Answer available
Class 10 · Mathematics · Constructions
Construct a triangle ABC in which AB = 5 cm, BC = 6 cm and AC = 7 cm, then locate the point inside it that is equidistant from all three sides. Name this point.
4 marksMediumDiagram based
Answer available
Class 10 · Mathematics · Constructions
Why can a tangent not be constructed from a point inside a circle?
3 marksMediumShort answer
Answer available
Class 10 · Mathematics · Constructions
Construct a regular hexagon inscribed in a circle of radius 5 cm and state the length of each side.
4 marksHardDiagram based
Answer available
Class 10 · Mathematics · Constructions
Construct a regular hexagon of side 4 cm and draw its circumscribed circle. State the radius of that circle.
4 marksMediumDiagram based

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