CONSTRUCTIONS Test

CONSTRUCTIONS

This is CONSTRUCTIONS Test-03 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
To divide a line segment AB in the ratio 4 : 7, a ray AX is drawn first such that \(\angle BAX\) 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:
  • A
    \({A_9}\)
  • B
    \({A_{11}}\)
    Correct
  • C
    \({A_{10}}\)
  • D
    \({A_{12}}\)
2
In division of a line segment AB, any ray AX making angle with AB is
  • A
    obtuse angle
  • B
    any arbitrary angle
  • C
    acute angle
    Correct
  • D
    right angle
3
Which theorem criterion we are using in giving the just the justification of the division of a line segment by usual method ?
  • A
    Pythagoras theorem
  • B
    SSS criterion
  • C
    Area theorem
  • D
    BPT
    Correct
4
To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that \(\angle BAX\) 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
  • A
    8
  • B
    11
  • C
    10
  • D
    12
    Correct
5
To divide a line segment AB in the ration 4 : 7, a ray AX is drawn first such that \(\angle BAX\) 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
  • A
    \({A_{12}}\)
  • B
    \({A_{10}}\)
  • C
    \({A_9}\)
  • D
    \({A_{11}}\)
    Correct
6
In the given figure, \(A{A_1} = {A_1}{A_2} = {A_2}{A_3} = {A_3}C\)
Question 6 figure 1
  • A
    4 : 1
  • B
    1 : 4
    Correct
  • C
    1 : 3
  • D
    1 : 2
7
To divide line segment AB in the ratio A : b ( a, b are positive integers), draw a ray AX so that \(\angle BAX\) is an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is
  • A
    ( a + b)
    Correct
  • B
    (a + b – 1)
  • C
    ab
  • D
    Greater of a and b
8
To divide a line segment AB in the ration 5 : 6, draw a ray AX such that \(\angle BAX\) is an acute angle, then draw a ray BY 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 BY, respectively. Then, the points joined are
  • A
    \({A_4}\;and\;{B_5}\)
  • B
    \({A_5}\;and\;{B_6}\)
  • C
    \({A_6}\;and\;{B_5}\)
    Correct
  • D
    \({A_5}\;and\;{B_4}\)
9
To divide a line segment AB in the ration 2 : 3, first a ray AX is drawn so that \(\angle BAX\) is an acute angle and then at equal distances, points are marked on the ray AX, such tha the minimum number of these points is
  • A
    6
  • B
    2
  • C
    5
    Correct
  • D
    3
10
To divide a line segment AP in the ration 2 : 9, a ray AX is drawn first such that \(\angle BAX\) is an acute angle and then points \({A_1},{A_2},{A_3}...\) are located of equal distances on the ray AX and the points P is joined to
  • A
    \({A_{12}}\)
  • B
    \({A_{11}}\)
    Correct
  • C
    \({A_8}\)
  • D
    \({A_3}\)
11
To draw a pair of tangents to a circle which are inclined to each other at an angle of \({35^o}\), it is required to draw tangents at the end points of those two radii of the circle, the angle between which is :
  • A
    \({140^o}\)
  • B
    \({145^o}\)
    Correct
  • C
    \({105^o}\)
  • D
    \({70^o}\)
12
To draw a pair of tangents to circle which are inclined to each other at angle of \({60^o}\), it is required to draw tangents at end points of those two radii of the circle, the angle between them should be :
  • A
    \({120^o}\)
    Correct
  • B
    \({60^o}\)
  • C
    \({90^o}\)
  • D
    \({135^o}\)
13
A draw a pair of tangents to a circle which are inclined to each other at an angle of \({65^o}\), it is required to draw tangents at the end points of those two radii of the circle, the angle between which is :
  • A
    \({105^o}\)
  • B
    \({110^o}\)
  • C
    \({115^o}\)
    Correct
  • D
    \({95^o}\)
14
To draw a pair tangents to a circle which are inclined to each other at an angle of \({70^o}\), it is required to draw tangents at end points of those two radii of the circle, the angle between them should be :
  • A
    \({120^o}\)
  • B
    \({90^o}\)
  • C
    \({20^o}\)
  • D
    \({110^o}\)
    Correct
15
If two tangents are drawn at the end points of two radii of a circle which are inclined at \({120^ \circ }\) to each other, then the pair of tangents will be inclined to each other at an angle of
  • A
    \({90^ \circ }\)
  • B
    \({60^ \circ }\)
    Correct
  • C
    \({100^ \circ }\)
  • D
    \({120^ \circ }\)