Home
Class 12
MATHS
bb"Statement-1 " 3+7i gt 2+4i, " where ...

`bb"Statement-1 " 3+7i gt 2+4i, " where " i=sqrt(-1).`
`bb"Statement-2 " 3 gt 2 " and " 7 gt 4`

Answer

Step by step text solution for bb"Statement-1 " 3+7i gt 2+4i, " where " i=sqrt(-1). bb"Statement-2 " 3 gt 2 " and " 7 gt 4 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 6|2 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|12 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 5|4 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

1,1+i,2i,-2+2i,"…."where i= sqrt(-1)

Consider the curves on the Argand plane as " "{:(C_(1):arg(z)=pi/4","),(C_(2):arg(z)=(3pi)/(4)):} and C_(3):arg(z-5-5i)=pi," where " i=sqrt(-1). bb"Statement-1" Area of the region bounded by the curves C_(1),C_(2) " and " C_(3) " is " 25/2 bb"Statement-2" The boundaries of C_(1),C_(2) " and " C_(3) constitute a right isosceles triangle.

Which statement is correct.? bb"statement-1" (cos theta+isin theta)^(3)=cos 3theta+isin 3theta, i=sqrt(-1) bb"statement-2" (cos""pi/4+isin""pi/4)^(2)=i

bb"Statement I" The range of log(1/(1+x^(2))) " is " (-infty,infty) . bb"Statement II" " when " 0 lt x le 1, log x in (-infty,0].

Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identity matrix. Denote by tr (A), the sum of diagonal entries of A. Assume that A^2=""I . Statement 1: If A!=I and A!=""-I , then det A""=-1 . Statement 2: If A!=I and A!=""-I , then t r(A)!=0 . (1) Statement 1 is false, Statement ( 2) (3)-2( 4) is true (6) Statement 1 is true, Statement ( 7) (8)-2( 9) (10) is true, Statement ( 11) (12)-2( 13) is a correct explanation for Statement 1 (15) Statement 1 is true, Statement ( 16) (17)-2( 18) (19) is true; Statement ( 20) (21)-2( 22) is not a correct explanation for Statement 1. (24) Statement 1 is true, Statement ( 25) (26)-2( 27) is false.

Let z_(1),z_(2) " and " z_(3) be three complex numbers in AP. bb"Statement-1" Points representing z_(1),z_(2) " and " z_(3) are collinear bb"Statement-2" Three numbers a,b and c are in AP, if b-a=c-b

Let f(x)=sin x bb"Statement I" f is not a polynominal function. bb"Statement II" nth derivative of f(x), w.r.t. x, is not a zero function for any positive integer n.

f is a function defined on the interval [-1,1] such that f(sin2x)=sinx+cosx. bb"Statement I" If x in [-pi/4,pi/4] , then f(tan^(2)x)=secx bb "Statement II" f(x)=sqrt(1+x), forall x in [-1,1]

Consider two functions f(x)=1+e^(cot^(2)x) " and " g(x)=sqrt(2abs(sinx)-1)+(1-cos2x)/(1+sin^(4)x). bb"Statement I" The solutions of the equation f(x)=g(x) is given by x=(2n+1)pi/2, forall "n" in I. bb"Statement II" If f(x) ge k " and " g(x) le k (where k in R), then solutions of the equation f(x)=g(x) is the solution corresponding to the equation f(x)=k.

If z=(3+4i)^(6)+(3-4i)^(6),"where" i=sqrt(-1), then Find the value of Im(z) .

Home
Profile