Question

3. If x + 1/x =√5 then find the valu of x^2+1/x^2 and x^+1/x^4

4. If x -1/x=3 then find the value of x^3-1/x^3


5. Factorise : i) 2x3 – 3x2 -17x + 30 ii) 3x3 –x2 - 3x + 1

6. Divide the polynomial x3 - 4x2 + 5x – 2 by x2 – 3x + 2

7. Divide the polynomial x4 – 6x3 - 26x2 + 138x – 35 by x2 – 4x + 1

8. Find area of an equilateral triangle , if perimeter is 60m.

9. The curved surface area of a cylinder is 4400cm2 and the circumference of its base

is 110cm. Find the height of the cylinder.

10. If the mean of the data 2 , x+1 , 9 , x-2 is 4 then find the value of x .

11. The mean of 100 observations is 50. If the observation 50 is replaced by 150, what

will be the resulting mean?

12. A card is drawn at random from a well shuffled deck of playing cards. Find the

probability that the card drawn is

i)A card of spade or an ace ii) a red king iii) neither a king nor a queen

iv) either a king or a queen.

13. A die is thrown once. Find the Probability of getting

a) a Prime number ; b) a number lying between 2 and 6 ; c) an odd number

d) a number > 6 e) multiple of 5 or 6 f) a multiple of 2 and 3

g) a number greater than 4 h) not getting 1 or 6 .

14. A bag contains 12 balls out of which X are white.

i) If one ball is drawn at random, what is the probability that it will be a white ball?​

Answer 1

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