SAMACHEER KALVI CLASS 10 GEOMETRY

 SAMACHEER KALVI CLASS 10

GEOMETRY

IMPORTANT CONCEPT BASED QUESTIONS

TOTAL NUMBER OF QUESTIONS: 14


1.  A man goes 18 m due east and then 24 m due north. Find the distance of his current position from the starting point?

 
2. To get from point A to point B you must avoid walking through a pond. You must walk 34 m south and 41 m east. To the nearest meter, how many meters would be saved if it were possible to make a way through the pond?

3.  The hypotenuse of a right triangle is 6 m more than twice of the shortest side. If the third side is 2 m less than the hypotenuse, find the sides of the triangle.

4. 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4m high. If the foot of the ladder is moved 1.6 m towards the wall, then find the distance by which the top of the ladder would slide upwards on the wall.

5. The length of the tangent to a circle from a point P, which is 25 cm away from the centre is 24 cm. What is the radius of the circle?

6.  PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that ∠POR = 120° . Find ∠OPQ.
 
7. In two concentric circles, a chord of length 16 cm of larger circle becomes a tangent to the smaller circle whose radius is 6 cm. Find the radius of the larger circle.
 
8. ABC is a right angled triangle with right angle at B and points D, E trisect BC. Prove that 8AE2 = 3AC2 + 5AD2.
 
9. Draw a tangent at any point R on the circle of radius 3.4 cm and centre at P ?

10. Draw the two tangents from a point which is 10 cm away from the centre of a circle of radius 5 cm. Also, measure the lengths of the tangents.

11. State and prove Basic Proportionality Theorem

12. State and prove Pythagoras theorem

13. State and prove Angle Bisector Theorem.

14. In the rectangle WXYZ, XY + YZ = 17 cm, and XZ + YW = 26 cm.
Calculate the length and breadth of the rectangle?

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