MHT CET · Maths · Complex Number
If \(\mathrm{z}=x+\) iy is a complex number, then the equation \(\left|\frac{\mathrm{z}+i}{\mathrm{z}-i}\right|=\sqrt{3}\) represents the
- A circle with centre \((2,0)\) and radius \(\sqrt{3}\)
- B circle with centre \((0,2)\) and radius \(\sqrt{3}\)
- C circle with centre \((0,0)\) and radius \(\sqrt{3}\)
- D circle with centre \((0,-2)\) and radius \(\sqrt{3}\)
Answer & Solution
Correct Answer
(B) circle with centre \((0,2)\) and radius \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
\( \left|\frac{x+iy+i}{x+iy-i}\right|=\sqrt{3} \) \( \frac{x^2+(y+1)^2}{x^2+(y-1)^2}=3 \)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(\int \frac{\mathrm{d} x}{\cot ^2 x-1}=\frac{1}{\mathrm{~A}} \log |\sec 2 x+\tan 2 x|-\frac{x}{\mathrm{~B}}+\mathrm{c}\), (where \(\mathrm{c}\) is constant of integration), then \(\mathrm{A}+\mathrm{B}=\)MHT CET 2023 Hard
- The derivative of \(\tan ^{-1}\left(\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}\right)\) isMHT CET 2022 Medium
- If \(\vec{a}, \vec{b}, \vec{c}\) are position vectors of points \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) respectively, with \(2 \vec{a}+3 \vec{b}-5 \vec{c}=\overrightarrow{0}\), then the ratio in which point \(\mathrm{C}\) divides segment \(\mathrm{AB}\) isMHT CET 2022 Easy
- Two numbers are selected at random from the first six positive integers. If \(X\) denotes the larger of two numbers, then \(\operatorname{Var}(X)=\)MHT CET 2022 Medium
- The abscissae of the points of the curve \(\mathrm{y}=x^3\) are in the interval \([-2,2]\), where the slope of the tangents can be obtained by 5. Mean Value Theorem for the interval \([-2,2]\) areMHT CET 2025 Medium
- If \(A+B+C=180^{\circ}\), then the value of
\(\tan \left(\frac{\mathrm{A}}{2}\right) \tan \left(\frac{\mathrm{B}}{2}\right)+\tan \left(\frac{\mathrm{B}}{2}\right) \tan \left(\frac{\mathrm{C}}{2}\right)+\tan \left(\frac{\mathrm{C}}{2}\right) \tan \left(\frac{\mathrm{A}}{2}\right)\) isMHT CET 2020 Medium
More PYQs from MHT CET
- Resistor of \(2 \Omega\), inductor of \(100 \mu \mathrm{H}\) and capacitor of \(400 \mathrm{pF}\) are connected in series across a source of \(\mathrm{e}_{\mathrm{rms}}=0.1\) Volt. At resonance, voltage drop across inductor isMHT CET 2023 Medium
- For the formation of terylene the number of moles of ethylene glycol required per mole of terephthalic acid isMHT CET 2010 Easy
- Identify thermoplastic polymer from following.MHT CET 2025 Easy
- The area of the region bounded by curves \(y=3 x+1, y=4 x+1\) and \(x=2\) isMHT CET 2024 Medium
- An aeroplane is flying in a horizontal direction with a velocity of \(540 \mathrm{~km} / \mathrm{hr}\) at a height of \(1960 \mathrm{~m}\). When it is vertically above the point A on the ground, a body is dropped from it. The body strikes the ground at point \(\mathrm{B}\). The distance \(\mathrm{AB}\) is equal to
\(\left(\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2\right)\)
MHT CET 2022 Easy - Identify the WRONG match of the crop variety and its resistance to pest or disease.MHT CET 2020 Easy