Class: X QUARTELY EXAMINATION SUB: Mathematics

Section – I
I Answer the following 5 questions, choosing atleast 2 from each group. (5x4=20)
Group-A

1. Let A, B are two subsets f a universal set U. show that A  B = A- B’ = B –A’.
2. Let f: R- {2}  R be defined by f(x) = 2x +1/x-2. Show that f(2x+1)/(x-2)
3. Find the sum and the product of the roots of the following equation. 2x2-7x+3= 0
4. Find the number which is less than its square by 132.

Group-B
5. Given a GP with a= 729 and 7th term is 64. Determine S7.
6. If there are n arithmetic means between a and b find common difference “d.”
7. Find the mode when median is 125.6 and mean is 128.
8. If A =
Show that A-1= 4I-A

Section –II
II Answer any four questions. (4x2=8)
9. State Pythagorus theorem.
10. State onto function.
11. State basic theorem of sets.
12. Define singular matrix.
13. Find the seventeenth term in series if Tn=n (n+3)/(n+2).
14. Write 3x3 identity matrix. Section –III
III Answer any four questions choosing atleast 2 from each group (4x8=32)
Group-A
15. Show that A(B  C) = (AB)  (A  C) for any three sets A, B, C.
16. Given f(x) = (x-1), g(x) =x2-2 h(x)=x3-3 find (fog)oh and fo(goh).
17. A play field is 100 m by 60m, has a footpath all around it on the outside. What is the width of the path if its area is 3/5 of the area of the field?
18. Using the remainder theorem find the factors of x4+3x3-7x2-27x-18.

Group-B
19. State and prove basic proportionality theorem.
20. Find sum to n terms of the series 0.5+0.55+0.555+------
21. The A.M, G.M. and H.M. of two numbers are A, G, H respectively. Show that
A  G H.
22. Solve by Cramer’s method: x+5y = 17 and 5x+y = 13.
Section IV

IV Answer any one of the following .

24. Draw a circum circle of triangle ABC when BC = 6cm, ∟B=55o, ∟C= 70o.
25. Using the graph y=x2, solve x2-x-6=0.