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

1.

TRUE

2.FALSE

2.

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

1.

TRUE

2.FALSE

3.

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

1.

TRUE

2.FALSE

4.

To divide a line segment PQ in the ratio a : b (a, b are positive integers), draw a ray PX so that is an acute angle and then mark points on ray PX at equal distances such that the minimum number of these points is_____.

1.

a

2.a - b

3.

5.

To construct a triangle similar to a given with its sides 3/7 of the corresponding sides of , first draw a ray BX such that is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B1 , B2 , B3 , ... on BX at equal distances and next step is to join______.

1.

B10 to C

2.B7 to C

3.B3 to C

4.

6.

To construct a triangle similar to a given with its sides 3/4 of the corresponding sides of draw a ray BX such that is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is_____.

1.

3

2.7

3.4

4.

7.

To divide a line segment AB in the ratio 4 : 5, draw a ray AX such that is an acute angle, then draw a ray BY parallel to AX and the points A1 , A2 , A3 , ... and B1 , B2, B3, ... are located at equal distances on ray AX and BY, respectively. Then the points joined are_______.

1.

A6 and B5

2.A4 and B5

3.A5 and B4

8.

To divide a line segment PQ in the ratio 3:2, a ray PX is drawn first such that is an acute angle and then points P1 , P2 , P3 , .... are located at equal distances on the ray PX and the point Q is joined to_____.

1.

P5

2.P2

3.P3

4.

9.

To divide a line segment AB in the ratio 4:5, first a ray AX is drawn so that is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is______.

1.

8

2.9

3.4

4.

10.

To draw a pair of tangents to a circle which are inclined to each other at an angle of , it is required to draw tangents at the end points of those two radii of the circle, the angle between which is_______.

1.
2.
3.
4.

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