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Quiz 1
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To divide a line segment AB in the ratio p : q (p, q are positive integers), draw a ray AX so that ∠BAX is an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is
0%
greater of p and q
0%
p + q
0%
p + q - 1
0%
pq
Explanation
p + q
To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°. It is required to draw tangents at the end points of those two radii of the circle, the angle between which is
0%
105°
0%
70°
0%
140°
0%
145°
Explanation
145°
To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that ∠BAX 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
0%
8
0%
10
0%
11
0%
12
Explanation
12
To divide a line segment AB in the ratio 4 : 7, ray AX is drawn first such that ∠BAX is an acute angle and then points A
1
, A
2
, A
3
,......... are located at equal distances on the ray AX and the point B is joined to
0%
A
12
0%
A
11
0%
A
10
0%
A
9
Explanation
A
11
To divide a line segment AB in the ratio 5 : 6, draw a ray AX such that ∠BAX is an acute angle, then draw a ray B
4
parallel to AX and the points A
1
, A
2
, A
3
, ........ and B
1
, B
2
, B
3
,.......... are located at equal distances on ray AX and B
4
, respectively. Then the points joined are
0%
A
5
and B
6
0%
A
6
and B
5
0%
A
4
and B
5
0%
A
5
and B
4
Explanation
A
5
and B
6
To construct a triangle similar to a given ΔABC with its sides \(\frac{3}{7}\) of the corresponding sides of ΔABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B
1
, B
2
, B
3
, on BX at equal distances and next step is to join
0%
B
10
to C
0%
B
3
to C
0%
B
7
to C
0%
B
4
to C
Explanation
B
7
to C
To construct a triangle similar to a given ΔABC with its sides \(\frac{8}{5}\) of the corresponding sides of ΔABC draw a ray BX such that ∠CBX is an acute angle and X is on the opposite side of A with respect to BC. Then minimum number of points to be located at equal distances on ray BX is
0%
5
0%
8
0%
13
0%
3
Explanation
8
To draw a pair of tangents to a circle which are inclined to each other at an angle of 60°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be
0%
135°
0%
90°
0%
60°
0%
120°
Explanation
120°
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