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Transcript
MATHEMATIC CENTER D96 MUNIRKA VILLAGE NEW DELHI 110067
Chapter – 5
1.
Find real values of x and y for which the complex numbers (- 3 + ix2y) and( x2 + y +4i) are complex
conjugate of each other.
2.
If z1 and z2 are complex numbers such
that
Ans: 3
3.
Show that a real value of x will satisfy the
4.
5.
equation:
Find the square root of 7 – 24i.
Express sin 300 + i cos 300 in polar form
Chapter - 6
6.
An electrician can be paid under two schemes as given below:
Scheme I : Rs. 500 and Rs. 70 per hour
scheme II : Rs. 120 per hour.
If the work takes x hours to complete, for what value of x does the scheme I give the electrician
better wages?
7.
Solve the inequality
8.
Solve the inequality
9.
The cost and revenue functions of a product are given by C(x) = 2x + 400 and R(x) = 6x + 20
respectively, where
“x” is the number of items produced by the manufacturer. How many items atleast the manufacturer
must sell to realize a profit.
Email [email protected] 9810144315
MATHEMATIC CENTER D96 MUNIRKA VILLAGE NEW DELHI 110067
Ans : 95
10. Exhibit the solution of linear inequation
graphically:
Chapter – 7
11. How many different numbers of 6 – digits can be formed by using the digits 1, 2, 1, 2, 0, 2?
Ans : 50
12. Find the number of (i) Combinations (ii) Permutations of 4 letters taken from the word
EXAMINATION.
Ans: (i) 136 (ii) 2454
13. There are 15 points in a plane, no 3 of them are in a straight line except 4 which are collinear. Find
the number of
(i) straight lines
(ii) triangle formed by joining them.
Ans : (i) 100 (ii) 451
14. Find the number of rectangles in the adjoining figure:
Ans:60
15. There 6 questions in a question paper. In how many ways can a student solve one or more
questions: Ans: 63
Email [email protected] 9810144315
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