Test Details

Constructions

Practice this chapter

Jan 16, 8:00 PM

90 minutes

Jan 17, 8:00 PM

20.0 marks

MCQ

10 questions

Nanhatuts

Ex teacher of Blue Bird high school Panchkula Now working as Teacher in Stellar International school Banur

Class Details

Maths

Science

Maths

Science

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Question Text

Question 1 :
To draw a pair of tangents to a circle which are inclined to each other at an angle of 35$^{\circ}$, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is ( in degrees)?

Question 2 :
Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.

Question 3 :
State true or false. Construction of the pair of tangents from an external point to a circle is possible..

Question 4 :
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 $A_1,A_2,A_3,.........$ are located at equal distances on the ray AX and the point B is joined to

Question 5 :
Draw an equilateral triangle ABC of each side 4 cm. Construct a triangle similar to it and of scale factor $\frac{3}{5}$ . Is the new triangle also an equilateral?

Question 6 :
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

Question 7 :
Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a tangent to the inner circle. What is the radius of the inner circle?

Question 8 :
Draw a circle of radius 4 cm. Construct a pair of tangents to it, the angle between which is 60$^{\circ}$. Also justify the construction. Measure the distance between the centre of the circle and the point of intersection of tangents.

Question 9 :
If a point lies on the circle , then there is only one tangent to the circle at this point and it is perpendicular to the radius through this point . State whether the above statement is TRUE or FALSE ?

Question 10 :
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 at equal distances on ray AX and BY, respectively. Then the points joined are

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