MATHS ASSIGNMENT_18.11.2017

                                Class X                 Maths Weekly assignment _18.11.2017

1. Prove that root ü5 is an irrational number.

2. Find the zeroes and verify the relationship between the zeroes 3x² – x – 4

3. Solve 2x + 3y = 11 and 2x – 4y= – 24 and hence find the value of ‘m’ for which y = mx + 3

4. The altitude of a right triangle is 7 cm less than its base . If the hypotenuse is 13 cm, find the other

    two side (Solve question using completing the square method) ]

5. The sum of the 4^th and 8^th term of an A.P is 24 and the sum of the 6^th and 10th term is 44. Find the first  three terms of the AP.

6. State and prove Pythagoras theorem.

7. Find the area of the triangle whose vertices are (– 5, –1) , ( 3 , –5) and ( 5, 2 )

8. Draw a line segment AB of length 10 cm. Taking A as centre draw a  circle of radius 4 cm and taking B as centre , draw another circle of radius 5 cm. Construct tangents to each other from the centre of the other circle.

9. In a circle of radius 21 cm, an arc subtends and an angle of 60⁰ at the center . Find

      i) The length of the arc

     ii) Area of minor and major sector

    iii) Area of the segment formed by corresponding chord.

10. A cylindrical bucket 32 cm high and with radius of base 18 cm is filled with sand. This bucket is

     emptied on the ground and a conical heap of sand is formed . If the height of the conical heap is  

     24 cm . Find the radius and slant height of the heap.

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ASSIGNENT_18.11.2017