WebSolution 1.3 (i) Write z= x+ iy. Then x2+ 2ixy− y2= −5 + 12i. Comparing real and imaginary parts gives the simultaneous equations x2−y2= −5, 2xy= 12. The second equation gives y= 6/xand substituting this into the first gives x4+5x2−36 = 0, a quadratic in x2. Solving this quadratic equation gives x2= 4, hence x= ±2. WebIf x - iy = √ (a - ib)/ (c - id) , Prove that: (x² + y²)² = (a²+ b²)/ (c² + d²) Solution: It is given that, x - iy = √ (a - ib)/ (c - id) We will rationalize the denominator here x - iy = √ [ (a - ib)/ (c - …
If x+iy = a+ib/a_ib, prove that x2 + y2 = 1 - Brainly.in
WebIf x - iy = sqrt(a - ib/c - id) show that (x² + y²)² = (a² + b²)/(c² + d²)If x – iy = √((a − ib)/(c − id)) prove that (x2 + y2)^2 = (a^2 + b^2)/(c^2 ... WebSolution For If x~+~iy~=~\frac{a~+~ib}{a~-~ib} prove that x2 + y2 = 1. Solution For If x~+~iy~=~\frac ... Solution For If x~+~iy~=~\frac{a~+~ib}{a~-~ib} prove that x2 + y2 = 1. The world’s only live instant tutoring platform. About Us Become a Tutor Blog. Filo instant Ask button for chrome browser. Now connect to a tutor anywhere from the ... definitie palliatieve zorg who 2002
1 Complex Numbers - Hong Kong University of Science and …
WebSolution The correct option is C x = q, y = p Explanation for the correct answer: To find the value of p , q : Given, ( x + i y) ( p + i q) = ( x 2 + y 2) i ⇒ x p + p y i + x q i - y q = x 2 + y 2 i ⇒ x p - y q + ( p y + x q) i = ( x 2 + y 2) i Now, on comparing the real and imaginary part WebSolution. x + iy = a ib c id a + ib c + id. ∴ (x + iy) 2 = a ib c id a + ib c + id. ∴ x 2 + 2xyi + y 2 i 2 = a ib c id c id c id a + ib c + id × c - id c - id. ∴ x 2 + 2xyi – y 2 = ac adi bci bdi c d i ac … WebAnswer the following: If x + iy = a+iba-ib, prove that x2 + y2 = 1 . Maharashtra State Board HSC Science (Computer Science) 11th. Textbook Solutions 7403. Important Solutions 22. Question Bank Solutions 4567. Concept Notes & Videos 126. Syllabus. Answer the following: If x ... definitie psychofarmaca