Show that the four points in the argand plane represented by the complex numbers
P. Show that the four points in the argand plane represented by the complex numbers
(AP 2021 Exam Question)
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Maths 2A:
1. State and prove Addition Theorem of Probability
2. If the coefficient of x^10 in the expansion of (ax^2+1/bx
3. prove that C0Cr + C1Cr+1 + C2Cr+2 +...+ C(n-r).Cn=2nC(n+r) | Binomial Theorem
4. state and prove Baye's Theorem of Probability
5. If the letters of the word BRING are permuted, Find the 59th word
6. If x+iy=1/(1+costheta+isintheta) then show that 4x^2-1=0
7. If x is real, prove that x/(x^2-5x+9) lies between -1/11 & 1
8. If the letters of the word MASTER are permuted in all possible ways
9. Show that the four points in the argand plane represented by the complex numbers
10. Prove that 1/(3x+1)+1/(x+1)-1/(3x+1)(x+1) does not lie between 1 and 4
11. If 6 letters of the word EAMCET are permuted in all
12. Find the number of ways of selecting a cricket team of 11 play
13. Resolve (x^2-x+1)/(x+1)(x-1)^2 into partial fractions
14. If n is an integer then show that (1+i)^(2n)+(1-i)^(2n)
15. Solve x^4+4x^3-2x^2-12x+9=0, given that it has
16. Solve the equation x^4+2x^3-5x^2+6x+2=0, given that 1+i
17. Show that the points in the argand plane represented by the
18. Find the range of the expression (x^2+x+1)/(x^2-x+1)
19. Simplify:34C5+sigmar=0to4(38-r)C4
Maths 2A:
1. Evaluate Integral(log(1+tanx)dx
2. Evaluate the reduction formula for In= ..
3. Show that Integral(x/(sinx+cosx))dx=π/2√2.log(√2+1)
5. Derive equation of parabola in the standard form y^2=4ax
6. If (2,0),(0,1),(4,5),(0,c) are concyclic then find c
7. Evaluate integral of x e to the power of X by X + 1 whole square dx
8. Evaluate integral 0 to a x into a minus x whole to the power of n dx
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