Home
Class 12
MATHS
If ((a+i)^2)/((2a-i))=p+i q , show that:...

If `((a+i)^2)/((2a-i))=p+i q ,` show that: `p^2+q^2=((a^2+1)^2)/((4a^2+1))` .

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -A) (objective Type Questions ( one option is correct)|47 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -B) (objective Type Questions ( one option is correct)|78 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • BINOMIAL THEOREM

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

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

Similar Questions

Explore conceptually related problems

If ((a+i)^(2))/((2a-i))=p+iq, show that: p^(2)+q^(2)=((a^(2)+1)^(2))/((4a^(2)+1))

(i) If x+iy=(a+ib)/(a-ib) , prove that x^(2)+y^(2)=1 . (ii) If ((a+i)^(2))/(2a-i)=p+iq , prove that: p^(2)+q^(2)=((a^(2)+1)^(2))/(4a^(2)+1) .

If (cosA)/(cosB)=p,(sinA)/(sinB)=q ,then show that (p^(2)(1-q^(2)))/(p^(2)-q^(2))=cos^(2)A .

p-2q-p^(2)+4q^(2)

If (p^2)/(q^2) + (q^2)/(p^2) =1, then the value of (p^6 +q^6) is

Show that: |x p q p x q q q x|=(x-p)(x^2+p x-2q^2)dot

If a,b,cp,q,r six complex numbers such that (p)/(a)+(q)/(b)+(r)/(c)=1+i and (a)/(p)+(b)/(q)+(c)/(r)=0 then value of (p^(2))/(a^(2))+(q^(2))/(b^(2))+(r^(2))/(c^(2))=

If p^(2) + q^(2) = 14pq , then prove that log((p+q)/(4))=(1)/(2)[logp+logq]

If the roots of the equation (1-q+(p^(2))/(2))x^(2)+p(1+q)x+q(q-1)+(p^(2))/(2)=0 are equal then show that p^(2)=4q