**Q1.ABCD is a trapezium in which AB || DC and AB = 2 CD. The diagonals AC and BD meet at O. The ratio of area of triangles AOB and COD is **

(a) 1 : 1

(b) 1∶√2

(c) 4 : 1

(d) 1 : 4

**Q2.In ∆ABC, D and E are the points of sides AB and BC respectively such that DE || AC and AD : BD =3 : 2. The ratio of area of trapezium ACED to that of ∆BED is **

(a) 4 : 15

(b) 15 : 4

(c) 4 : 21

(d) 21 : 4

**Q3.Two circles with centres A and B and radius 2 units touch each other externally at ‘C’ A third circle with centre ‘C’ and radius ‘4’ units meets other two at D and E. Then the area of the quadrilateral ABDE is **

(a) 2√2 sq. units

(b) 3√3 sq. units

(c) 3√2 sq. units

(d) 2√3 sq. units

**Q4.A parallelogram ABCD has sides AB = 24 cm and AD = 16 cm. The distance between the sides AB and DC is 10 cm. Find the distance between the sides AD and BC. **

(a) 15 cm

(b) 18 cm

(c) 16 cm

(d) 9 cm

**Q5.A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of the parallelogram is**

(a) 42 cm^2

(b) 60 cm^2

(c) 84 cm^2

(d) 96 cm^2

**Q6.The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. if the length of one of its diagonal be 26 cm, the length of the other diagonal will be: **

(a) 5 cm

(b) 10 cm

(c) 6.5 cm

(d) 26 cm

**Q7.The diagonals of a rhombus are 32 cm and 24 cm respectively. The perimeter of the rhombus is :**

(a) 80 cm

(b) 72 cm

(c) 68 cm

(d) 64 cm

**Q8.C1 and C2 are two concentric circles with centre at O, their radii are 12 cm and 3 cm, respectively, B and C are the point of contact of two tangents drawn to C2 from a point A lying on the circle C1. Then, the area of the quadrilateral ABOC is **

(a) (9√15)/2 sq. cm

(b) 12√15 sq. cm

(c) 9√15 sq. cm

(d) 6√15 sq. cm

**Q9.The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm^2) of the triangle is **

(a) 240

(b) 180

(c) 360

(d) 120

**Q10.A circle is inscribed in a square whose length of the diagonal is 12√2 cm. An equilateral triangle is inscribed in that circle. The length of the side of the triangle is **

(a) 4√3 cm

(b) 8√3 cm

(c) 6√3 cm

(d) 11√3 cm