Home
Class 12
MATHS
Statement-I : If e^(itheta)=costheta+isi...

Statement-I : If `e^(itheta)=costheta+isintheta` then for the `DeltaABCe^(iA)e^(iB)e^(iC)=-1`
Statement-II : If `(sqrt3+1)^(100)=2^(99)(a+ib)` then `b=2sqrt3`

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II true

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2|3 Videos
  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-3|1 Videos
  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1|124 Videos
  • COORDINATE SYSTEM (3D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET- 4)|3 Videos
  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 Videos

Similar Questions

Explore conceptually related problems

If (sqrt3+i)^(100)=2^(99)(a+ib) then b=

If (sqrt(3)+i)^(100)=2^(99)(a+ib) . Then show that a^(2)+b^(2)=4

If 3/(2+costheta+isintheta)=x+iy then (x-1)(x-3)=

Statement - I : If a and b are positive real numbers then sqrt(-a) xx sqrt(-b) is equal to sqrt(ab) Statement - II : The argument of (1 + isqrt3)/(1 -isqrt3) is 120^(0)

Statement-I: If sechx + cosechx ="k"(e^((k-1)x))/(e^(kx)-1) then k = 3 Statement-II : If sinh 9-k sinhk =(k+1)sinh^(3)k , then k = 2 Which of the above statement is correct?

If (x-iy ) ^(1/3) = a + ib, then (ax -by)/(a-b) =

tantheta=1/sqrt3, costheta =………………..

Find the incentre of the Delta^(l e) with the vertices (1,sqrt3) ,(0,0) and (2,0)

Statement-I : If a Iatusrectum of an ellipse subtends angle 60^(@) at the farthest vertex then eccentricity is 1-(1)/sqrt(3) Statement-II : If a Iatusrectum subtends 60^(@) at the centre of the ellipse then ecentricity is (sqrt(13)-1)/(2sqrt(3))