MODEL ACTIVITY TASKS CLASS - X MATHEMATICS Answer the following questions : 1. Write the condition for the roots to become equal in the equation ar' + bx + c = 0,(a, b, care real, a=0). 2. The radius of a circle is 10 cm and the length of a chord is 12 cm. Then, calculate the distance between the chord and centre of the circle. 3. If the ratio of the volumes of two cubes is 1 : 8, then find the ratio of the total surface areas of the two cubes. 4. If the amount of Rs. 400/- for 2 years is 441 then find the annual rate of compound interest. 5. If x, 12, y, 27 are in continued proportion then find the values of rand y. 6. AB is a radius of a circle with centre 0. C is a point on the circle. If ZOBC = 60° then find the value of LOCA. 7. If each side of a cube increases 50% by length, then what is the parcentage increase in total surface area of the cube? 14. 3 8. Solve : (2.x+1)+ (2x+1) 2
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