Q. 23 The curved surface area and the volume of a cylindrical pole are 132 m² and 528 m³, respectively. What is the height (in meter) of the pole? (Take π = 22/7)

Q. 25 A circle circumscribes a rectangle whose sides are in the ratio 4 : 3. If the perimeter of the rectangle is 56 cm, then what is the area (in cm²) of the circle?

Q. 29 A circle inscribed in a triangle ABC. It touches sides AB, BC and AC at the points P, Q and R respectively. If BP = 9 cm. CQ = 10 cm and AR = 11 cm, then the perimeter (in cm) of the ∆ABC is

Q. 30 In triangle ABC, the length of BC is less than twice the length of AB by 2cm. The length of AC exceeds the length of AB by 10 cm. The perimeter is 32 cm. The length (in cm) of the smallest side of the triangle is

Q. 34 Equilateral triangles are drawn on the hypotenuse and one of the perpendicular sides of a right-angled isosceles triangles. Their areas are H and A respectively. A/H is equal to

Q. 35 O, G, I and H are respectively the circumcentre, centroid, incentre and orthocentre of an equilateral triangle. Which of these points are identical?

(A) O and I only (B) O, G, I and H (C) O and G only (D) O, G and H only