__MATH TEST-30: GEOMETRY__**1. In a circle with centre O, AOC is a diameter of the circle, BD is a chord and OB and CD are joined. If**

**∠**

**AOB = 130**

^{o}, then**∠**

**BDC =?**

**a. 25**

**b. 30**

**c. 50**

**d. 45**

**2. If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB = 19 cm and AC = 22 cm, then length of BC is:**

**a. 19.5 cm**

**b. 26 cm**

**c. 20.5 cm**

**d. 13 cm**

**3. The ratio of interior angle to exterior angle of a regular polygon is 5:1. The number of sides of polygon is:**

**a. 10**

**b11**

**c.12**

**d.14**

**4. A straight line parallel to BC of**

**intersects AB and AC at points P and Q respectively. AP = QC, PB = 4 units and AQ = 9, than the length of AP is:**

**a. 25 unit**

**b. 30 unit**

**c. 6 unit**

**d. 6.5 unit**

**5. AC is the diameter of a circumcircle of**

**Chord ED is parallel to the diameter AC. If**

**∠**

**CBE = 50, then**

**∠**

**DEC is:**

**a. 50**

**b. 90**

**c.40**

**d. 55**

**6. Two chords AB and CD of circle whose centre is O, meet at the point P and**

**∠**

**AOC = 50,**

**∠**

**BOD = 40.then the value of**

**∠**

**CPD :**

**a. 60**

**b. 40**

**c. 45**

**d. 75**

**7.**

**ABC and**

**DBC are made on same base BC on opposite sides. The line joining vertices A and D intersect BC at O. Then the ratio of areas of**

**and**

**DBC will be:**

**a. OB : OC**

**b. AO : OD**

**c. AB : CD**

**d. AC : BD**

**8. In the Adjoining figure AD, AE and BC are tangents to the circle at D, E,F respectively, then :**

**a. AD = AB+BC+AC**

**b. 2AD = AB+BC+AC**

**c. AD = ½ (AB+ BC+AC)**

**d. 3AD = AB+BC+AC**

**9. If O is the centre of a circle of radius r and AB is a chord of the circle at a distance r/2 from O, then**

**∠**

**BAO is:**

**a. 15**

**b. 30**

**c. 45**

**d. 60**

**10. The tangents are drawn at the extremities of a diameter AB of a circle with centre P. If a tangent to the circle at the point C intersects the other two tangents at Q and R, then the measure of the**

**∠**

**QPR =**

**a. 45**

**b. 60**

**c. 90**

**d. 180**

**ANSWERS**

**1.A, 2.D, 3.C, 4.C, 5.C, 6.C, 7.B, 8.B, 9.B, 10.C,**