Construction - Class 10 - MCQ - by Dr Rajesh Kumar Thakur

Construction

1   1.      To divide a line segment PQ in the ratio of m : n, draw a ray PX such that                               

         a) m + n           b) m – n            c) mn               d) m/n

2  2.      To divide a line segment internally in the ratio of m : n, the condition on m and n is -      

      a) m and n are real numbers                    b) m and n are rational numbers                    

         c) m and n are positive integers           d) m and n are irrationals

3  3.      When a triangle is constructed, similar to given triangle with scale factor k, and the constructed triangle is inside the given triangle then -                                                     

        a) k = 1            b) k > 1             c) k < 1             d) k = 0

4  4.     From an external point P, to construct tangents to a circle centered at O, OP is joined and then another circle is drawn, taking M as centre and OM as radius the point M is the point of intersection of OP and -                                                                                      

     a) perpendicular bisector of OP                        b) M and O coincide                         

       c) M and P coincide                                         d) the circle        

     5.      To draw a pair of tangents to a circle which are inclined to each other at an angle of 60 degree, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be -                                                                            

       a) 130⁰             b) 120⁰            c)140⁰              d) 150⁰

    6.      To divide a line segment AB in the ratio of 5: 7, first a ray AX is drawn so that                                                                                

         a) 8                  b) 10                c) 12                d) 14

     7.      To construct a triangle similar to a given triangle ABC with its sides 3/7 of the corresponding sides of triangle ABC, first draw a ray BX such that 1

, B₂ , --- B₁₀ on BX at equal distances and next step is to join -                                                          

              a) join B₁₀ to C                                     b) join B₃ to C                                                  

            c) join B₄ to C                                      d) join B₇ to C 

    8.      To construct a triangle similar to a given triangle ABC with its sides 5/3 of the corresponding sides of triangle ABC, a ray BX is drawn such that CBX is an acute angle and X is on the opposite side of A with respect to BC. What is the minimum number of points to be located at equal distances on ray BX?                                                                 

        a)3                   b) 4                  c)5                   d)6

   9.      To draw a pair of tangents to a circle which are inclined to each other at an angle of 45 degree, what should be the angle between two radii?                                                     

         a)130⁰             b) 135⁰             c) 90⁰               d)110⁰

   

1  10.  How many tangents can be drawn from a point lying inside a circle?                             

     a) 0                  b)1                   c)2                   d) 4

          Dr Rajesh Kumar Thakur