NCERT Mathematics Class 10 Exemplar Ch 10 Constructions Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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EXERCISE 10.2

1. By geometrical construction, it is possible to divide a line segment in the ratio .

Answer: True

2. To construct a triangle similar to a given ΔABC with its sides of the corresponding sides of ΔABC, draw a ray BX making acute angle with BC and X lies on the opposite side of A with respect to BC. The points are located at equal distances on BX, B3 is joined to C and then a line segment B6C ‘is drawn parallel to B3C where C’ lies on BC produced. Finally, line segment A ‘C’ is drawn parallel to AC.

Answer: False

3. A pair of tangents can be constructed from a point P to a circle of radius situated at a distance of 3 cm from the centre.

Answer: False

4. A pair of tangents can be constructed to a circle inclined at an angle of .

Answer: True