## Full fledge assessment videos for constructions

Full fledge assessment (Please watch the above videos before attempting this assessment)

Question 1 of 20
Q1. If the angle between the tangents is 50o (as shown in the figure), then the angles between the two radii will be
• 120°
• 125°
• 130°
• 135°

### Solution :

In ∆AXO,  ∠XAO = 25° then ∠XOA = 180° − 90° − 25° = 65° ∠XOY = 130°
Still have doubt? Watch Video
Q2. A tangent and radius of the circle make an angle of measure
• 45°
• 90°
• 180°
• 270°

### Solution :

A tangent and radius of the circle make an angle of measure 90°.
Still have doubt? Watch Video
Q3. If the length of the tangent from the external point P is 12 cm, and the distance of P from the centre is 13 cm, then the radius of the circle is
• 5 cm
• 6 cm
• 7 cm
• 8 cm

### Solution :

Still have doubt? Watch Video
Q4. While constructing ∆XYZ similar to ∆STU such that SU:XZ = 6:7, the smaller triangle is
• ∆XYZ
• ∆STU
• Both are equal
• None of these
Construction of Similar Triangles

" >

### Solution :

While constructing ∆XYZ similar to ∆STU such that SU:XZ = 6:7, the smaller triangle is DSTU. Still have doubt? Watch Video
Q5. If PQ is divided into 3 equal parts at A and B, then PB:BQ is
• 1:3
• 2:3
• 2:1
• 1:2

### Solution :

P-A-B-Q If PA = x, PB = 2x, BQ = x.
Still have doubt? Watch Video
Q6. In the figure above, if the angle between the tangents is 70o, then the angles between the two radii will be
• 110o
• 125o
• 130o
• 135o

### Solution :

In ∆AXO, ∠XAO = 35°  then ∠XOA = 180°− 90° − 35° = 55°  ∠XOY = 110° … The line joining the centre of a circle and an external point bisects the angle between the tangents and the radius.
Still have doubt? Watch Video
Q7. While constructing ∆ABC similar to ∆TUV such that AB:TU = 1:5, the scale factor is
• 1/5
• 6
• 5
• 1/6
Construction of Similar Triangles

" >

### Solution :

While constructing ∆ABC similar to ∆TUV such that AB:TU = 1:5, the scale factor is 1/5. Still have doubt? Watch Video
Q8. If PQ is divided into 5 equal parts at A, B, C and D, then PB:BQ is
• 2:3
• 3:2
• 2:5
• 5:2

### Solution :

P-A-B-C-D-Q, PB = 2x, BQ = 3x
Still have doubt? Watch Video
Q9. The number of tangents which can be drawn from a point inside a circle to it is
• 0
• 1
• 2
• 3

### Solution :

No tangents can be drawn from a point inside a circle.
Still have doubt? Watch Video
Q10. While constructing a similar triangle such that its corresponding sides are in the ratio 5:2, we need to construct an acute angle at any one of the bases of the given triangle and make
• 7 equal divisions
• 6 equal divisions
• 5 equal divisions
• 2 equal divisions

### Solution :

While constructing a similar triangle, we need to construct an acute angle at any one of bases of the given triangle and make 5 equal divisions (max (5 and 2)).
Still have doubt? Watch Video
Q11. The angle drawn in a semicircle from the end points of the diameter is
• 30°
• 45°
• 60°
• 90°

### Solution :

The angle drawn in a semicircle from the end points of the diameter is 90°.
Still have doubt? Watch Video
Q12. If AB is divided into 3 equal parts at P and R, then PB =?
• 1/4 AR
• 1/2 BA
• 1/4 AB
• 2/3 AB

### Solution :

A-P-R-B If PB = 2x, then BA = 3x.
Still have doubt? Watch Video
Q13. PQ is divided into 2 equal parts at A, then PA:AQ is
• 1:3
• 1:1
• 2:1
• 1:2

### Solution :

P-A-C, PA = x, AQ = x
Still have doubt? Watch Video
Q14. A tangent cuts the circle at
• one point
• two points
• no point
• three points

### Solution :

A tangent cuts the circle at one point.
Still have doubt? Watch Video
Q15. If two lines meet a transversal and they make equal corresponding angles, then the two lines are
• Perpendicular
• Intersecting
• Parallel
• None of these

### Solution :

If two lines meet a transversal and they make equal corresponding angles, then the two lines are parallel.
Still have doubt? Watch Video
Q16. To divide a line segment in 5:3, we have to make
• 5 equal divisions
• 3 equal divisions
• 2 equal divisions
• 8 equal divisions

### Solution :

To divide a line segment in m:n, we have to make m+n equal divisions.
Still have doubt? Watch Video
Q17. The number of tangents which can be drawn through a point on the circle is
• one
• two
• three
• many

### Solution :

Only one tangent can be drawn through a point on the circle.
Still have doubt? Watch Video
Q18. If AB is divided into 4 equal parts at P, Q and R, then PQ =?
• ¼ AR
• ¼ BR
• ¼ AB
• ¼ BA

### Solution :

A-P-Q-R-B If PQ = x, BA = 4x.
Still have doubt? Watch Video
Q19. To divide a line segment in 4 equal parts, we need to draw
• perpendicular bisector two times
• perpendicular bisector three times
• perpendicular bisector four times
• none of these

### Solution :

To divide a line segment in 4 equal parts, we need to draw a perpendicular bisector three times.
Still have doubt? Watch Video
Q20. The centre of a circle lies on the
• Perpendicular
• perpendicular bisector
• perpendicular of its chord
• perpendicular bisector of its chord

### Solution :

The centre of a circle lies on the perpendicular bisector of its chord.
Still have doubt? Watch Video
CONTACT :
1800-212-78589:00am - 9:00pm IST all days.
SUBSCRIBE TO TOPPER :
Explore