## July 4, 2014

### 10th Class Maths Important Questions - New Syllabus for AP and Telangana

1. How many tangents can be drawn to a circle from a point outside the circle ? Justify your answer. (R & P)

2. How much cloth is required to set up a conical shaped tent with height 4 meters and radius 10.5 meters. (PS)

3. Find the probability of getting a prime number when a die is rolled once. (PS)

4. Explain the procedure to find median of ungrouped data. (Com)

5. If a line drawn through a point on a circle is perpendicular to radius of the circle to that point, then prove that it is tangent to the circle. (R & P)

6. If radius of a cylinder and a cone are equal and height of cone is double of that of cylinder, then find the relation between their volumes in the form of a ratio. (PS)

7. If Sec θ + tan θ = l, then find value of Sin θ in terms of l. (PS)

8. If unbiased coin is tossed 4 times. Then what is the probability of getting no head anytime ? (PS)

4 Marks Questions:

1. Construct a triangle with sides AB = 4cm, BC = 4.5cm, CA = 5cm, and also construct another triangle with 2/3 of corresponding sides of ΔABC (Rep & V)

2. Draw a circle of radius 4cm and construct tangents from a point 7 cm away from centre of the circle. (Rep & V)

3. A cylindrical tank has two hemispheres at its two ends. The length of axis at its centre is 11m and radius of a hemisphere is 3.5 m. Then find the capacity of the tank in litres.

4. A conical shaped tent has to set up on a cylindrical tent with its radius of base and height in the ratio 2 : 1. The heights of cylinder and cone are equal and ratio are 7 cm. Then how much cloth is required to set up the tent. (Con)

5. Two men on the same side of a tall building notice the angle of elevation to the top of the building to 30o and 60o respecting. If the height of the building is known to be h = 60m find the distance between the two men. (PS)

6. A man is watching a tower from a window of the hotel at the height 5m. The angle of elevation of top of the tower is 60o and the angle of depression of foot of the tower is 45o. Find the height of the tower. (PS).