Question 1 :
In the given figure, AB is a diameter of the circle. If AC = BC, then ∠CAB is equal to<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e6a6150ce6eb5a146ea"/>

Question 2 :
In the given figure, O is the centre of the circle. If ∠ABC = 20°, then ∠AOC is equal to<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e69819305523f23291f"/>

Question 3 :
If in triangles ABC and DEF,{tex}\frac { AB }{ DE } =\frac { BC }{ FD } {/tex} , then they will be similar when<br/>

Question 4 :
In the given figure, ∆ABC ~ ∆QPR. Then ∠R is<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e5a1766ce1c2c83a5c7"/>

Question 5 :
If in two triangles ABC and PQR,<br/> {tex}\frac { AB }{ QR } =\frac { BC }{ PR } =\frac { CA }{ PQ } {/tex}<br/> then<br/>

Question 6 :
If the areas of two similar triangles are in the ratio 4 : 9, then their corresponding sides are in the ratio<br/>

Question 7 :
In the given figure, if ∠DAB = 60° and ∠ABD = 50° then ∠ACB is equal to<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e6b819305523f232922"/>

Question 8 :
In the given figure, PA and PB are tangents at points A and B respectively to a circle with centre O. If C is a point on the circle and ∠APB = 40°, then ∠ACB is equal to<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e7b6150ce6eb5a14709"/>

Question 9 :
In the given figure, two circles touch each other at A. BC and AP are common tangents to these circles. If BP = 3.8 cm, then the length of BC is equal to<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e7c819305523f232941"/>

Question 10 :
In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE, then the two triangles are<br/>

Question 11 :
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is<br/>

Question 12 :
If tangents PA and PB from an exterior point P to a circle with centre O are inclined to each other at an angle of 80°, then ∠POA is equal to<br/>

Question 13 :
Two chords AB and CD of a circle intersect externally at a point P. If PC = 15 cm, CD = 7 cm and AP = 12 cm, then AB is<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e7e819305523f232946"/>

Question 14 :
The distance between the centres of two circles is {tex} d {/tex}. If the radii are {tex} r_{1} {/tex} and {tex} r_{2}, {/tex} the length of their direct common tangent is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5fb79e31dba5935f6cc6ee16"><br>