Answer available
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
ICSE question bank
Every question in the vault, filterable by class, subject, chapter, topic, year, marks, difficulty, type and source. The filters live in the URL, so any view you build can be shared.
13 questions
- 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
- Answer available
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
- Answer available
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
- Answer available
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
- Answer available
Class 10 · Mathematics · Constructions
Construct a circle of radius 4 cm. Mark a point P at a distance of 7 cm from the centre and construct a pair of tangents from P to the circle. Measure and record the length of a tangent.
3 marksMediumDiagram based