Question 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

Question 2 :
Can we divide a line segment in a ratio m : n, where both m and n are positive integers ?

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

Question 4 :
Can we construct as many concentric circles as we want to a given circle?

Question 5 :
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 6 :
If an isosceles triangle ABC, in which AB = AC = 6 cm, is inscribed in a circle of radius 9 cm, what is the area of the triangle?

Question 7 :
If a circle touches the side BC of a triangle ABC at P and extended sides AB and AC at Q and R, respectively, Is it TRUE or FALSE that $AQ = \frac { 1 } { 2 } ( BC + CA + AB )$.

Question 8 :
State true or false. Division of a line segment internally in a given ratio is possible.

Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b53273b23058497997c.PNG' /> In the above figure, tangents PQ and PR are drawn to a circle such that $\angle RPQ = 30^{\circ}$. A chord RS is drawn parallel to the tangent PQ. What is the value of $\angle RQS$?

Question 10 :
Do the tangents drawn at the ends of a chord of a circle make equal angles with the chord?