CONSTRUCTIONS Test

CONSTRUCTIONS

This is CONSTRUCTIONS Test-02 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
E divides the line segment PQ in the ratio :
  • A
    3 : 5
  • B
    2 : 2
  • C
    3 : 6
  • D
    3 : 2
    Correct
2
G divides the line segment PQ in the ratio :
  • A
    4 : 1
    Correct
  • B
    4 : 3
  • C
    3 : 2
  • D
    5 : 1
3
C divides the line segment PQ in the ration :
  • A
    2 : 4
  • B
    2 : 2
  • C
    2 : 5
  • D
    2 : 3
    Correct
4
To divide a line segment AB internally in the 5 : 2, first a ray AX is drawn so that \(\angle BAX\) is an acute angle and then points \({A_1},{A_2},{A_3}....\) are located at equal distances on ray AX and point B is joined to
  • A
    \({A_7}\)
    Correct
  • B
    \({A_6}\)
  • C
    \({A_2}\)
  • D
    \({A_3}\)
5
To divide a line segment AB internally in the ratio 4 : 7 , first a ray AX is drawn so that \(\angle BAX\) is an acute angle and then at equal distances points are marked on ray AX such that the minimum number of these points is
  • A
    11
    Correct
  • B
    9
  • C
    10
  • D
    12
6
To divide a line segment AB in the ratio 3 : 2, draw a ray AX such that \(\angle BAX\) is an acute angle, then draw ray BY parallel to AX and then locate points \({A_1}\), \({A_2}\), \({A_3}\)… and \({B_1}\), \({B_2}\), \({B_3}\)… at equal distances on ray AX and BY respectively. Then the points to be joined are
  • A
    \({A_3}\)and\({B_1}\)
  • B
    \({A_1}\)and\({B_3}\)
  • C
    \({A_3}\)and\({B_2}\)
    Correct
  • D
    \({A_2}\)and\({B_3}\)
7
To construct a triangle similar to a given triangle ABC with its sides \(\frac{2}{3}\) of the corresponding sides side of A with respect to BC. Then locate points \({X_1},{X_2},{X_3}\)… at equal distance on BX. The points to be joined in the next step are
  • A
    \({X_2}\) and C
  • B
    \({X_3}\)and C
    Correct
  • C
    \({X_4}\) and C
  • D
    \({X_1}\) and C
8
To construct a triangle similar to given \(\Delta ABC\) with its sides \(\frac{7}{5}\) of the corresponding side of \(\Delta ABC,\)draw a ray BX such that \(\angle CBX\) is an acute angle and X is on the opposite side of A with respect to BC. Then, locate points \({X_1},\)\({X_2},\;{X_3}\)… at equal distances on BX. The points to be joined in the next step are
  • A
    \({X_{12}}\) and C
  • B
    \({X_7}\) and C
  • C
    \({X_2}\) and C
  • D
    \({X_5}\)and C
    Correct
9
To divide line segment AB in the ration m : n ( m, n 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
    m + n - 1
  • B
    mn
  • C
    greater of m and n
  • D
    m + n
    Correct
10
To divide a line segment AB in the ratio 5 : 7 , draw a ray AX such that \(\angle BAX\) is an acute angle, then draw a ray BT || AX and mark the points \({A_1},{A_2},{A_3},....\) and \({B_1},{B_2},{B_3},\)….with \({A_1}{A_2} = {A_2},{A_3} = ... = B{B_1} = {B_1}{B_2} = {B_2}{B_3} = ...\) on the rays AX and BY respectively. Then the points joined are :
  • A
    \({A_2}\;to\;{B_5}\)
  • B
    \({A_5}\;to\;{B_2}\)
  • C
    \({A_5}\;to\;{B_7}\)
    Correct
  • D
    \({A_7}\;to\;{B_5}\)
11
To divide a line segment AB in the ration s : t (s and t are positive integers with s : t 9 sand t are positive integers with s > t), draw a ray AX so that \(\angle BAX\) is an acute angle and then mark points on the ray AX at equal distances such that the minimum number of these points is:
  • A
    s
  • B
    s – t
  • C
    t
  • D
    s + t
    Correct
12
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
    12
    Correct
  • C
    10
  • D
    11
13
By geometrical construction, a line segment can’t be divided in the ratio :
  • A
    \(\sqrt 6 + 1:\sqrt 6 - 1\)
    Correct
  • B
    \(2 - \sqrt 3 :2 - \sqrt 3 \)
  • C
    \(\sqrt 9 - 1:\sqrt 9 + 1\)
  • D
    1 : 1
14
To divide a line segment PQ in the ration 7 : 3 internally, first a ray PX is drawn so that \(\angle QPX\) is an acute angle and then at equal distances, points are marked on the ray PX such that the minimum number of these points is :
  • A
    3
  • B
    4
  • C
    10
    Correct
  • D
    7
15
By geometrical construction, it is possible to divided a line segment in the ratio:
  • A
    \(\frac{{\sqrt {12} }}{{\sqrt 3 }}\)
    Correct
  • B
    \(\frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }}\)
  • C
    \(\frac{{\sqrt 7 }}{{\sqrt 3 }}\)
  • D
    \(\frac{{\sqrt 5 + 2}}{{\sqrt 5 - 2}}\)