Home / Class 10 Math / Chapter 11 – Constructions | Class 10 MCQ Test 1
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 : 12 10 11 9
2. To divide a line segment AB in the ratio p : q ( p, q are positive integers), draw a ray AX so that ∠BAX s an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is : pq p + q p + q – 1 greater of p and q
3. To construct a triangle similar to given ΔABC with its sides 8585 of the corresponding sides of ΔABC, draw a ray BX such that ∠CBX is an acute angle and X is one the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is : 5 8 10 11
4. 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 A1, A2, A3 … and B1, B2, B3,… are located a equal distances on ray AX and BY, respectively, Then the points joined are : A4 and B5 A6 and B5 A5 and B6 A5 and B4
5. 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 : B7 to C B10 to C B6 to C B4 to C
6. 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 are located at equal distances on the ray AX and the point B is joined to : A12 A11 A10 A9
7. 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 : 4 8 7 11
8. 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 : 4 7 9 10
9. 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 : 11 5 9 8
10. 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 : a + b a + b – 1 greater of a and b a-b
Class 10 Constructions Quiz -1
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Question 1 of 10
1. Question
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 :
Correct
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., 5 + 7 = 12
Incorrect
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., 5 + 7 = 12
Question 2 of 10
2. Question
To divide a line segment AB in the ratio p : q ( p, q are positive integers), draw a ray AX so that ∠BAX s an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is :
Correct
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., p + q
Incorrect
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., p + q
Question 3 of 10
3. Question
To construct a triangle similar to given ΔABC with its sides 8585 of the corresponding sides of ΔABC, draw a ray BX such that ∠CBX is an acute angle and X is one the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is :
Correct
According to the question, the minimum number of points to be located at equal distances on ray BX is 8.
Incorrect
According to the question, the minimum number of points to be located at equal distances on ray BX is 8.
Question 4 of 10
4. Question
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 :
Correct
According to the question, the point joined are A5 and B6.
Incorrect
According to the question, the point joined are A5 and B6.
Question 5 of 10
5. Question
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 :
Correct
According to the question, the next step is to join is B7 to C.
Incorrect
According to the question, the next step is to join is B7 to C.
Question 6 of 10
6. Question
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 are located at equal distances on the ray AX and the point B is joined to :
Correct
Incorrect
Question 7 of 10
7. Question
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 :
Correct
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e. , 2 + 5 = 7
Incorrect
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e. , 2 + 5 = 7
Question 8 of 10
8. Question
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 :
Correct
According to question, the minimum number of points to be located at equal distances on ray BX is 7.
Incorrect
According to question, the minimum number of points to be located at equal distances on ray BX is 7.
Question 9 of 10
9. Question
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 :
Correct
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., 2 + 7 = 9
Incorrect
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., 2 + 7 = 9
Question 10 of 10
10. Question
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 :
Correct
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., a + b
Incorrect
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., a + b