10th Standard CBSE - Maths - Constructions

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Question - 1

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

  • A 8
  • B 10
  • C 11
  • D 12

Question - 2

To divide a line segment AB in the ratio 4:7, a ray AX is drawn first such that ∠BAX is an acute angle and then points  are located at equal distances on the ray AX and the point B is joined to

  • A A12
  • B A11
  • C A10 
  • D A9

Question - 3

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 BY parallel to AX and the points  and  are located to equal distances on ray AX and BY, respectively. Then, the points joined are

  • A A5 and B6
  • B A6 and B5
  • C A4 and B5
  • D A5 and B4

Question - 4

o construct a triangle similar to a given DABC with its sides 3/7  of the corresponding sides of DABC, 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  on BX at equal distances and next step is to join

  • A B10 to C
  • B B3 to C
  • C B7 to C 
  • D B4 to C

Question - 5

To construct a triangle similar to a given ΔABC with its sides 8/5of the corresponding sides of ΔABC

draw a ray BX such that ÐCBX 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

  • A 5
  • B 8
  • C 13
  • D 3

Question - 6

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

  • A 135°
  • B 90°
  • C 60°
  • D 120°

Question - 7


In the construction given, what is the ratio in which the point C divides the line segment AB?

  • A 1:1
  • B 3:2
  • C 3:5
  • D 2:3

Question - 8

 

The figure given below has been constructed by following the steps given below.
I : Draw a ray AX making an acute angle with a given side AB of ΔABC on the opposite side of vertex C.
II : Locate 3 points A1, A2, A3 on the line AX such that AA1 = A1A2 = A2A3 . Join BA3 .
III : Draw a line through A2 parallel ti BA3 to intersect AB at point b’ . Draw a line through B’ parallel to the line BC to intersect AC at C’.

Then , ΔAB’C’ and ΔABC are

  • A similar
  • B congruent
  • C equal in area
  • D none of the above

Question - 9

 

PQ is a tangent to a circle with centre O at the point P. If triangle OPQ is an isosceles triangle, then angle OQP is equal to

  • A 90°
  • B 30°
  • C 45°
  • D 60°

Question - 10

AB is divided into 3 equal parts at P and Q. If AB = x AQ, then x =

  • A 1/2
  • B 1/3
  • C 3/2
  • D 2/3
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