cbse term paper 1 qus

7/29/2019 cbse Term Paper 1 qus.

1/4

TERMENDP

APERS

TERM END PAPERSTERM PAPER-1

Instructions:

(i) All questions are compulsory.(ii) The question paper consists of 29 questions divide into three sections A, B and C.

Section A comprises of one mark each, section B comprises of 12 questions of

four marks each and section C comprises of07 questions of six marks each.

(iii) All questions in section A are to be answered in one word, one sentence or as perthe exact requirement of the questions.

(iv) There is no overall choice. However, internal choice has been provided in 04questions of four marks each and 02 questions of six marks each. You have to

attempt only one of the alternatives in all such questions.

(v) Use of calculations is not permitted. You may ask for logarithmic tables, ifrequired.

SECTION A

1. Find the radius of a circle in which a central angle of 72o intercepts an arcof length 22 cm. (Use = ).

2. Write down the modulus of(i) 2 +

3. Evaluate:

4. Evaluate5. If E1 and E2 are two events associated with a random experiment such

that P(E2) = 0.35, P(E1 or E2) = 0.85 and P(E1 and E2) = 0.15, find P(E1).


2/4

TERMENDP

APERS

6. If the odds in favour of an event be , find the probability of theoccurrence of the event.

7. Write the truth value of each of the following.(i) 5 < 7 or 8 > 10.(ii)4 + 5 = 8 or 4 + 5 = 9.

8. Let A = set of letters in the word, follow.And, B = set of letters in the word, wolf.

Show that A = B.

9. Find the coordinates of the point which divides the join of the pointsP(5, 4, 2) and Q(-1, -2, 4) in the ratio 2 : 3.

10. Show that the points A(0, 7, 10), B(-1, 6, 6) and C(-4, 9, 6) form anisosceles rightangled triangle.

SECTION B

11. If A, B and C are three sets and U is the universal set such that n(U) = 700,n(A) = 200, n(B) = 300 and n(A B) = 100. Find n(A B).

12. Find the domain and range of the real function f(x) = - |x|.

13. Prove that cos 6x = 32cos6x 48cos4 x + 18cos2x 1.


3/4

TERMENDP

APERS

14. If Prove that tan A tan B tan C + tan D = 0.

15. Using the principle of mathematical induction, prove that (1 + x)n

(1 + nx) for all n N, where x > 1.

16. If (a + ib) = then prove that (a2 + b2) = 1.

17. In how many ways can 6 balls of different colours, namely, white, black,blue, red, green and yellow, be arranged in a row in such a way that thewhite and black balls are never together?

18. A committee of 5 is to be formed out of 6 men and 4 ladies. In how manyways can this be done, when

(a) at least 2 ladies are included;(b) at most 2 ladies are included?

19. The sum of the first p, q and r terms of an AP are a, b, c respectively.Show that

20. Sum the series .4 + .44 + .444 + to n terms. 21. Differentiate from the first principle.22. In a single throw of two dice, find the probability that neither a doublet

nor a total of 10 will appear.


4/4

TERMENDP

APERS

SECTION C

23. A class has 175 students. The following description given the number ofstudents studying one or more of the subjects in this class.

24. Solve: 3 cos x sin x = 1.

25. If the coefficients of (r 1)th, rth and (r + 1)th terms in the expansion of(x + 1)

nare in the ratio 1 : 3 : 5, find n and r.

26. Find the equation of the circle which passes through the centre of thecircle x

2+ y

2+ 8x + 10y 7 = 0 and is concentric with the circle 2x

2+ 2y

2

8x 12y 9 = 0.

27. Find the coordinates of a point on the line x + y + 3 = 0, whose distancefrom the line x + 2y + 2 = 0 is

28. Draw the graph of the solution set of the inequations 2x + y 2, x y 1, x + 2y 8, x 0 and y 0.

29. Calculate the mean deviation about the median for the following data: Height (in cm) 95-105 105-115 115-125 125-135 135-145 145-155

Number of

boys

9 13 25 30 13 10

cbse term paper 1 qus

Documents