Students of class 10 Mathematics should refer to MCQ Questions Class 10 Mathematics Construction with answers provided here which is an important chapter in Class 10 Mathematics NCERT textbook. These MCQ for Class 10 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 10 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming class 10 Mathematics examination

Chapter 11 Construction MCQ with Answers Class 10 Mathematics

MCQ Questions Class 10 Mathematics Construction provided below have been prepared by expert teachers of grade 10. These objective questions with solutions are expected to come in the upcoming Standard 10 examinations. Learn the below provided MCQ questions to get better marks in examinations.

Question. A line segment drawn perpendicular from the vertex of a triangle to the opposite side is called the D
(a) Bisector
(b) Median
(c) Perpendicular
(d) Altitude

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 minimumnumber of these points is :
(a) p + q
(b) pq
(c) p + q – 1
(d) greater of p and q

Question. A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangentscan be drawn from point O to the circle?
(a) 1
(b) 3
(c) Infinite
(d) 2

Question. When a line segment is divided in the ratio 2 : 3, how many parts is it divided into?
(a) 2/3
(b) 2
(c) 3
(d) 5

Question. To construct a triangle similar to given ΔABC with its sides of the corresponding sides ofΔABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of Awith respect to BC. Then locate points B 1 , B 2 , B 3 , on BX equal distance and next step is to join :
(a) B 4 to C
(b) B 10 to C
(c) B 6 to C
(d) B 7 to C

Question. 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 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 :
(a) A 4 and B 5
(b) A 5 and B 4
(c) A 5 and B 6
(d) A 6 and B 5

Question. A draw a pair of tangents to a circle which are inclined to each other at an angle of 65°, it isrequired to draw tangents at the end points of those two radii of the circle, the angle betweenwhich is:
(a) 95°
(b) 105°
(c) 110°
(d) 115°

Question. To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that ∠BAX is an acuteangle and then at equal distances points are marked on the ray AX such that the minimum numberof these points is:
(a) 8
(b) 10
(c) 11
(d) 12

Question. Which theorem criterion we are using in giving the just the justification of the division of a linesegment by usual method ?
(a) SSS criterion
(b) Area theorem
(c) BPT
(d) Pythagoras theorem

Question. To divide a line segment AB in the ratio 4 : 7, a ray AX is drawn first such that ∠BAX is an acuteangle and then points A 1 , A 2 , A 3 , … are located at equal distances on the ray AX and the point Bis joined to
(a) A 4
(b) A 11
(c) A 10
(d) A 7

Question. To draw a pair of tangents to a circle which are inclined to each other at an angle of 45° it isrequired to draw tangents at the end point of those two radii of the circle, the angle between whichis :
(a) 105°
(b) 135°
(c) 145°
(d) 70°

Question. If two tangents are drawn at the end points of two radii of a circle which are inclined at 120° toeach other, then the pair of tangents will be inclined to each other at an angle of
(a) 60°
(b) 90°
(c) 100°
(d) 120°

Question. PT and PS are tangents drawn to a circle, with centre C, from a point P. If ∠TPS = 50°, then themeasure of ∠TCS is
(a) 150°
(b) 130°
(c) 120°
(d) 100°

Question. To draw a pair of tangents to a circle which are inclined to each other at angle x°, it is required todraw tangents at the end points of those two radii of the circle, the angle between which is
(a) 180°−x°
(b) 90°+x°
(c) 90°−x°
(d) 180°+x°

Question. Length of the tangent to a circle from a point 26 cm away from the centre is 24 cm. What is theradius of the circle?
(a) 11 cm
(b) 13 cm
(c) 10 cm
(d) 12 cm

Question. A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangentscan be drawn from point O to the circle?
(a) 2
(b) 1
(c) Infinite
(d) 0

Question. To divide a line segment AB in the ration 4 : 7, a ray AX is drawn first such that ∠BAX is anacute angle and then points A 1 , A 2 , A 3 ,… are located at equal distances on the ray AX and thepoint B is joined to :
(a) A 10
(b) A 11
(c) A 12
(d) A 9

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 theminimum number of these points is
(a) ab
(b) Greater of a and b
(c) ( a + b)
(d) (a + b – 1)

Question. To construct a triangle similar to given ΔABC with its sides 8585 of the corresponding sides ofΔABC, draw a ray BX such that ∠CBX is an acute angle and X is one the opposite side of A withrespect to BC. The minimum number of points to be located at equal distances on ray BX is :
(a) 3
(b) 5
(c) 8
(d) 13

Question. In division of a line segment AB, any ray AX making angle with AB is
(a) right angle
(b) obtuse angle
(c) any arbitrary angle
(d) acute angle

Question. To draw a pair of tangents to circle which are inclined to each other at angle of 60°, it is requiredto draw tangents at end points of those two radii of the circle, the angle between them should be :
(a) 60°
(b) 90°
(c) 120°
(d) 130°

We hope the above multiple choice questions for Class 10 Mathematics for Chapter 11 Construction provided above with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Construction is an important chapter in Class 10 as it provides very strong understanding about this topic. Students should go through the answers provided for the MCQs after they have themselves solved the questions. All MCQs have been provided with four options for the students to solve. These questions are really useful for benefit of class 10 students. Please go through these and let us know if you have any feedback in the comments section.