In the given figure, ABC is a right angled triangle. ABC = 90 deg and ACB = 60 deg. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?

AB and AC are the two tangents to a circle whose radius is 6 cm. If ∠BAC = 60 deg, then what is the value (in cm) of √(AB2 + AC2)?

In the given figure, AB = 30 cm and CD = 24 cm. What is the value (in cm) of MN?

In the figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circles is 3:5 and AC= 40, then what is the value of DE?

Triangle ABC is similar to triangle PQR and AB : PQ = 2 : 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangle PQR. What is the value of (BD/QS)2?

In the given figure, ABCD is a square whose side is 4 cm. P is a point on the side AD. What is the minimum value (in cm) of BP + CP ?

ABC is a right angled triangle. ∠BAC = 90 deg and ∠ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?