Constructions — Important Questions
ICSE · Class 10 · Mathematics
38 important questions from Constructions for ICSE Class 10 Mathematics, with answers. Includes multiple choice, multiple correct and true false questions.
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See them allImportant Questions from Constructions
Which of the following tools are required for constructing tangents to a circle from an external point?
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Compass, Ruler
The construction of tangents from an external point requires joining points with straight lines (using a ruler) and drawing circles/arcs of specific radii, such as the circle on OP as diameter and marking equal radii (using a compass). A protractor or set square is not needed since no angles are measured directly and no perpendicular lines from a set square are used in this method. Hence only the compass and ruler are the correct tools.
Which circles are involved in constructing tangents from an external point?
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Given circle with center O, Auxiliary circle with center M
Two circles are involved: the original given circle with center O, and the auxiliary circle with center at midpoint M of PO. These two circles intersect at points which help locate the tangent points.
How many tangents can be drawn to a circle from a point lying on the circle?
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1
From a point on the circle, exactly one tangent can be drawn. This tangent is perpendicular to the radius at that point.
The auxiliary circle intersects the given circle at how many points?
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2
The auxiliary circle intersects the given circle at exactly 2 points. These intersection points are the points of tangency for the two tangents from the external point.
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