Test: Constructions - 1 - CAT MCQ

To divide a line segment AB in the ratio 5 : 6 draw a ray AX such that ∠BAX is an acute angel, 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 a equal distances on ray AX and BY, respectively, Then the points joined are :

To construct a triangle similar to given ΔABC with its sides 3/7 of the corresponding sides of ΔABC, first draw a ray BX such that ∠CBXis an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B₁,B₂,B₃, on BX equal distance and next step is to join :

To divide a line segment AB in the ration 4 : 7, a ray AX is drawn first such that ∠BAX is an acute angle and then points A₁,A₂,A₃,…are located at equal distances on the ray AX and the point B is joined to :

To divide a line segment AB in the ration 2 : 5, first a ray AX is drawn, so that ∠BAX is an acute angle and then at equal distances points are marked on the ray such that the minimum number of these points is :

To construct a triangle similar to given ΔABC with its sides 3/7 of the corresponding sides of ΔABC draw a ray BX such that ΔCBX 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 :

To divide a line segment PQ in the ratio 2 : 7, first a ray PZ is drawn so that ∠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 :

To divide a line segment LM in the ratio a : b, where a and b are positive integers, draw a ray LX so that ∠MLX is an acute angle and then mark points on the ray LX at equal distances such that the minimum number of these points is :

To construct a triangle similar to given ΔABC with its sides 7/4 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. The minimum number of points to be located at equal distances on ray BX is :

To divide a line segment LM in the ratio 4 : 3, a ray LX is drawn firs such that ∠MLX is an acute angle and then points L₁, L₂, L₃, … are located at equal distances on the ray LX and the points M is joined to :

To construct a triangle similar to given ΔPQR with its sides 5/8 of the corresponding sides of ΔPQR, first a ray PXis drawn such that ∠QPX is an acute angle and X lies on the opposite side of R with respect to PQ. Then locate points P₁, P₂, P₃…. OnPX at equal distances and next step is to join :

To divide a line segment AB in the ratio 3 : 7 , draw a ray AX such that ∠BAX is an acute angle, then draw a ray BY parallel to AX and the points A₁,A₂,A₃, … and B₁,B₂,B₃,… are located at equal distances on ray AX and BY respectively. Then the points joined are :

A divides the line segment PQ in the ratio : 

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

To divide a line segment PQ in the ratio 5 : 7, first a ray PX is drawn so that ∠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

The ____________ is the term used to denote a method in which case is driven into the ground and the material inside the casing is washed out and brought to the surface for inspection.

To divide a line segment AB internally in the 5 : 2, first a ray AX is drawn so that ∠BAX is an acute angle and then points A₁,A₂,A₃.... are located at equal distance on ray AX and point B is joined to

To divide a line segment AB internally in the ratio 4 : 7 , first a ray AX is drawn so that ∠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

If the construction of a triangle ABC in which AB = 6 cm, ∠A = 70° and ∠B = 40° is possible then find the measure of ∠C.

To construct a triangle similar to a given triangle ABC with its sides 2/3 of the corresponding sides side of A with respect to BC. Then locate points X₁,X₂,X₃… at equal distance on BX. The points to be joined in the next step are

To construct a triangle similar to given ΔABC with its sides 7/5 of the corresponding side 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, locate points X₁,X₂,X₃… at equal distances on BX. The points to be joined in the next step are

To divide line segment AB in the ration m : n (m, n 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

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 :