## 1. ln a square ABCD, diagonals AC and BD interest at O. The angle bisector of ∠CAB meets BD and BC at F and G, respectively. OF : CG is equal to:

## 2. In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it, QD = 2 cm, QC = 5 cm, CR = 3 cm, BR = 4 cm, PB = 6 cm, PA = 5 cm and AD = 3 cm. What is the area (in cm^{2}) of the quadrilateral ABCD?

^{2}) of the quadrilateral ABCD?

## 3. In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD?

## 4. In the given figure, ∠ONY = 50° and ∠OMY = 15°. Then the value of the ∠MON is

## 5. In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

## 6. Two equal circles intersect so that there centres, and the point at which they intersect from a square of side 1 cm. The area (in sq. cm) of the portion that is common to the circles is

## 7. ABC is a triangle in which ∠ABC = 90°. BD is perpendicular to AC. Which of the following is TRUE?

I. Triangle BAD is similar to triangle CBD.

II. Triangle BAD is similar to triangle CAB.

III. Triangle CBD, is similar to triangle CAB.

I. Triangle BAD is similar to triangle CBD.

II. Triangle BAD is similar to triangle CAB.

III. Triangle CBD, is similar to triangle CAB.

## 8. ABC is a right angled triangle, right angled at A. A circle is inscribed in it. The lengths of two sides containing the right angle are 48 cm and 14 cm. The radius of the inscribed circle is:

## 9. PQRS is a cyclic quadrilateral in which PQ = 14.4 cm, QR = 12.8 cm and SR = 9.6 cm. If PR bisects QS, what is the length of PS?

## 10. In the given figure, chords PQ and RS intersect each other at point L. Find the length of RL.

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