Using principle of mathematical induction prove that:
has 7 in unit place for all natural number
is divisible by 3 for all natural numbers.
n + n2 is an even number for all natural numbers.
Chapter – 5
Find real values of x and y for which the complex numbers (- 3 + ix2y) and( x2 + y +4i) are complex conjugate of each other.
If z1 and z2 are complex numbers such that
Ans: 3
Show that a real value of x will satisfy the equation:
Find the square root of 7 – 24i.
Express sin 300 + i cos 300 in polar form
Chapter - 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?
Solve the inequality
Solve the inequality
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.
Ans : 95
Exhibit the solution of linear inequation graphically:
Chapter – 7
How many different numbers of 6 – digits can be formed by using the digits 1, 2, 1, 2, 0, 2?
Ans : 50
Find the number of (i) Combinations (ii) Permutations of 4 letters taken from the word EXAMINATION.
Ans: (i) 136 (ii) 2454
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
Find the number of rectangles in the adjoining figure:
Ans:60
There 6 questions in a question paper. In how many ways can a student solve one or more questions: Ans: 63
Submitted By Mr. Chetan Jain
About author: PGT Maths, Kv Deoli
Email: [email protected]
has 7 in unit place for all natural number
is divisible by 3 for all natural numbers.
