**Q1. In the figure given below, a circle is inscribed in a quadrilateral ABCD. Given that, BC = 38 cm, QB = 27 cm, DC = 25 cm and AD is perpendicular to DC. What is the radius of the circle?**

(a) 11 cm

(b) 14 cm

(c) 15 cm

(d) 16 cm

**Q2. In the figure given below, ∠AOB=46°, AC and OB intersect each other at right angles. What is the measure of ∠OBC (where, O is the centre of the circle) ?**

(a) 44°

(b) 46°

(c) 67°

(d) 78.5°

**Q3. In the figure given below. If O is the centre of the circle ∠AOD = 106°, then what is ∠BCD equal to ?**

(a) 53°

(b) 43°

(c) 40°

(d) 37°

**Q4. In the given figure, AB is a diameter of a circle and CD is perpendicular to AB, if AB = 10 cm and AE = 2 cm, then what is the length of ED ?**

**Q5. In the figure given below, PQ is a diameter of the circle whose centre is at O. If ∠ROS = 44° and OR is a bisector of ∠PRQ, then what is the value of ∠RTS ?**

(a) 46°

(b) 64°

(c) 69°

(d) None of these

**Q6. Let PAB be a secant to a circle intersect at points A and B and PC is a tangent. Which one of the following is correct?**

(a) The area of rectangle with PA, PB as sides is equal to the area of square with PC as sides

(b) The area of rectangle with PA, PC as sides is equal to the area of square with PB as sides

(c) The area of rectangle with PC, PB as sides is equal to the area of square with PA as side

(d) The perimeter of rectangle with PA, PB as sides is equal to the perimeter of square with PC as side

**Q7. ABCD is a quadrilateral, the sides of which touch a circle. Which one of the following is correct ?**

(a) AB + AD = CB + CD

(b) AB : CD = AD : BC

(c) AB + CD = AD + BC

(d) AB : AD = CB : CD

**Q8. **

(a) 17/20

(b) 19/20

(c) 13/20

(d) 23/20

**Q9. If a² + b² + c² = 25, x² + y² +z² = 36, and ax + by + cz = 30, then, the value of **

**Q10. **

**Solutions:**

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