| 1. Write the complex number 4+3i/[(2+3i) (4-3i)] in the form of a+ib |
(86/325)+i (27/325) |
| 2. Write z√7+ i√21 in the polar form. |
2√7[cos(2π/3) + i sin(2π/3)] |
| 3. If 1,ω, ω^ 2 are the cube roots of unity, then find the value of (1 - ω+ ω 2 ) 5 + (1 + ω - ω 2 ) 5 |
32 |
| 4. Form quadratic equation whose roots are (p-q) /p+q ,- [(p + q)/(p - q)] (p is not equal to q) |
(p 2 -q 2 )x 2 +(p 2 -q 2 )x+p 2 -q 2 =0 |
| 5. Find the algebraic equation whose roots are 2 times the roots of x 5 -2x 4 + 3x 3 - 2x 2 + 4x + 3 = 0 |
x 5 -4x 4 +12x 3 -16x 2 +64x+98=0 |
| 6. Find the number of (i) 6 (ii) 7 letter palindromes that can be formed using the letters of the word "EQUATION" |
8 4 |
| 7. If n Pr. 5040 and n C r 210, find n and r |
n=10, and r=4 |
| 8. Find the number of terms with non zero coefficients im (4x -7y) 49 (4x+7y) 49 |
25 |
| 9. Find the mean deviation about the median for the following data 4,6,9,3, 10, 13, 2 |
3.29 |
| 10. A poisson variable satisfies P(X =1)= P(X=2). Find P(X=5) |
4/(e 2 .15) |
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