Home / Class 10 Math / Chapter 11 – Constructions | Class 10 MCQ Test 2
1.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_{12} A_{10} A_{11} A_{9}
2. In division of a line segment AB, any ray AX making angle with AB is acute angle any arbitrary angle obtuse angle right angle
3. Which theorem criterion we are using in giving the just the justification of the division of a line segment by usual method? Pythagoras theorem Area theorem SSS criterion BPT
4. 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 12 11 14 9
5. 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 A_{11} A_{1} A_{8} A_{10}
6. A line segment drawn perpendicular from the vertex of a triangle to the opposite side is called the Median Altitude Perpendicular Bisector
7. To divide line segment AB in the ratio A : b ( a, b 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 a-b ab Greater of a and b ( a + b)
8. To divide a line segment AB in the ration 5 : 6, draw a ray AX such that ∠BAX is an acute angle, 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 at equal distances on ray AX and BY, respectively. Then, the points joined are A_{4} and B_{5} A_{5} and B_{6} A_{6} and B_{5} A_{5} and B_{4}
9. To divide a line segment AB in the ration 2 : 3, 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 4 5 8 2
10. To divide a line segment AP in the ration 2 : 9, a ray AX is drawn first such that ∠BAX is an acute angle and then points A_{1}, A_{2}, A_{3}… are located of equal distances on the ray AX and the points P is joined to A_{10} A_{11} A_{9} A_{8}
Class 10 Constructions Quiz -2
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Question 1 of 10
1. Question
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:
Correct
According to the question, point B is joined to A_{11}.
Incorrect
According to the question, point B is joined to A_{11}.
Question 2 of 10
2. Question
In division of a line segment AB, any ray AX making angle with AB is
Correct
In division of a line segment AB, any ray AX making angle with AB is an acute angle always.
Incorrect
In division of a line segment AB, any ray AX making angle with AB is an acute angle always.
Question 3 of 10
3. Question
Which theorem criterion we are using in giving the just the justification of the division of a line segment by usual method ?
Correct
Basic Proportionality Theorem (BPT) criterion we are using in giving the just the justification of the division of a line segment by usual method.
Incorrect
Basic Proportionality Theorem (BPT) criterion we are using in giving the just the justification of the division of a line segment by usual method.
Question 4 of 10
4. 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
Correct
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., 5 + 7 = 1
Incorrect
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., 5 + 7 = 1
Question 5 of 10
5. 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
According to the question, the point B is joined to A_{11}.
Incorrect
According to the question, the point B is joined to A_{11}.
Question 6 of 10
6. Question
A line segment drawn perpendicular from the vertex of a triangle to the opposite side is called the
Correct
In the figure,AA_{1 }=A_{1}A_{2 }= A_{2}A_{3 }= A_{3}C = 1 : 4
Incorrect
In the figure,AA_{1 }=A_{1}A_{2 }= A_{2}A_{3 }= A_{3}C = 1 : 4
Question 7 of 10
7. Question
To divide line segment AB in the ratio A : b ( a, b 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
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)
Question 8 of 10
8. Question
To divide a line segment AB in the ration 5 : 6, draw a ray AX such that ∠BAX is an acute angle, 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 at equal distances on ray AX and BY, respectively. Then, the points joined are
Correct
According to the question, the points joined are A_{6} to B_{5}. Because if we have to divide a line segment AB in the ratio m : n, then we draw rays AX and BY and mark the points A_{1}, A_{2}, ……, A_{m} and B_{1}, B_{2}, ……, B_{n} on rays AX and BY respectively. Then we join the point Am to Bn
Incorrect
According to the question, the points joined are A_{6} to B_{5}. Because if we have to divide a line segment AB in the ratio m : n, then we draw rays AX and BY and mark the points A_{1}, A_{2}, ……, A_{m} and B_{1}, B_{2}, ……, B_{n} on rays AX and BY respectively. Then we join the point Am to Bn
Question 9 of 10
9. Question
To divide a line segment AB in the ration 2 : 3, 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 tha 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 + 3 = 5
Incorrect
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., 2 + 3 = 5
Question 10 of 10
10. Question
To divide a line segment AP in the ration 2 : 9, a ray AX is drawn first such that ∠BAX is an acute angle and then points A_{1},A_{2},A_{3}… are located of equal distances on the ray AX and the points P is joined to
Correct
According to the question, the points P is joined to A_{11}.
Incorrect
According to the question, the points P is joined to A_{11}.