Home
Class 12
MATHS
Match the following : {:("Column - I" ...

Match the following :
`{:("Column - I" , "Column - II"),("(A) The smallest positive integer for which" (1 +i)^(n)=(1-i)^(n)" is " , "(p) 1"),("(B) If " root3(a+ib) =x +iy and b/y -a/x = k (x^(2) +y^(2)) " then k is equal to " , "(p) -3 " ),("(C) If " x=(1+i)/sqrt2 ", then the value of "1 +x^(2)+x^(4)+x^(6)+x^(8)+x^(10)+....+ x^(2004)+x^(2006) +x^(2008), "(r) 2"),("(D) If the minimum value of " |z+1+i|+|z-1-i|+|2-z|+|3-z| " is k then (k-8) equals " ,"(s)4 "):}`

Text Solution

Verified by Experts

The correct Answer is:
A(s) , B( r), C(p) , D(q)
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-G( Integer Answer type Questions)|8 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-H ( Multiple True-False Type Questions|5 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assertion -Reason Type Questions|19 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos

Similar Questions

Explore conceptually related problems

The least positive integer n for which ((1+i)/(1-i))^n= 2/pi sin^-1 ((1+x^2)/(2x)) , where x> 0 and i=sqrt-1 is

If x+ iy=(1+ 4i)(1+5i) , then (x^(2)+y^(2)) is equal to :

Match the following : {:("Column-I" , " Column - II"), ("(A)" lim_(x to pi/4)(sin2x)^(tan^(2)2x), "(p)" 1/2),("(B)" lim_(x to oo) ((2x-1)/(2x+1))^(x) , "(q)"e^(-1/2)),("(C)" lim_(x to pi/2)(tanx)^(tan 2x) , "(r)" e^(-1)),("(D)" lim_(x to pi/4) tan2x tan(pi/4-x), "(s)" 1):}

{:("Column A", "n is a positive integer and 0 < x < 1","Column B"),((n^2)/x," ",n^2):}

Match the following : {:("Column I ", " Column II" ), ("(A)" if lim_(x to 1) (1-x) tan""(pix)/2 = k " then " sin (1/k) " is" , "(p)"4),( "(B)" if lim_(x to 5) (x^(k)-5^(k))/(x-5) = 500 " then k is " , "(q)" 1),("(C)" lim_(x to oo)(1 + 4/(x+1))^((3x-1)/3) " is equal to " e^(k) " , then k is" , "(r) A perfect sqare"), ("(D) " d^(20)/(dx^(20)) (2 cos x"," cos 3x)= 2^(4k) [ cos2x + 2^(20) . cos4k]" then k is " , "(s)" 5),(, "(t)An odd number"):}

If (1-i)x+(1+i)y=1-3i , then (x,y) is equal to (a) (2,-1) (b) (-2,1) (c) (-2,-1) (d) (2,1)

If ((1 +i)/(1 -i))^(x) =1 , then (A) x=2n+1 (B) x=4n (C) x=2n (D) x=4n+1, n in N.

Let f(x) = |x -1| + |x-2| + |x-3| , match the column I for the value of k column II. {:("Column - I" , " Column -II"),("(A) f(x) = k has no solution " ,"(p) 1 " ),("(B) f(x)=k has only one solution" , "(q) 2"),(" (C) f(x) = k has two solution of same sign " , "(r) 4"),("(D) f(x)= k has two solution of opposite sign" , "(s) 5"),(,"(t) 8"):}

Given that (1 + i) (1 + 2i) (1 + 3i)…(1 + ni)= x+ iy , show that 2.5.10…(1 + n^(2))= x^(2) + y^(2)

If x^(n)-1 is divisible by x-k, then the least positive integral value of k is: (i) 1 (ii) 2 (iii) 3 (iv) 4