MHT CET · Maths · Complex Number
The equation \(|z+1-i|=|z-1+i|\) represents a (where \(z\) is a complex number)
- A Straight line passing through the origin and the first and third quadrant.
- B Straight line passing through the origin and the second and fourth quadrant.
- C Straight line passing through the point \((1,-1)\) and having slope -1 .
- D Straight line passing through the point \((2,1)\) and having slope \(\frac{1}{2}\).
Answer & Solution
Correct Answer
(A) Straight line passing through the origin and the first and third quadrant.
Step-by-step Solution
Detailed explanation
Let \(z_1 = -1+i\) and \(z_2 = 1-i\). Midpoint of \(z_1, z_2\): \(M = \frac{z_1+z_2}{2} = \frac{(-1+i)+(1-i)}{2} = 0\).
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
- The function \(\mathrm{f}(x)=\sec \left[\log \left(x+\sqrt{1+x^2}\right)\right]\) is _______ functionMHT CET 2025 Easy
- Suppose that \(\bar{p}, \bar{q}\) and \(\bar{r}\) are three non-coplanar vectors in \(\mathbb{R}^3\). Let the components of a vector \(\bar{s}\) along \(\bar{p}, \bar{q}\) and \(\bar{r}\) be 4,3 and 5 respectively. If the components of this vector \(\overline{\mathrm{s}}\) along \((-\overline{\mathrm{p}}+\overline{\mathrm{q}}+\overline{\mathrm{r}}),(\overline{\mathrm{p}}-\overline{\mathrm{q}}+\overline{\mathrm{r}})\) and \((-\overline{\mathrm{p}}-\overline{\mathrm{q}}+\overline{\mathrm{r}})\) are \(x\), \(y\) and \(z\) respectively, then the value of \(2 x+y+z\) isMHT CET 2024 Medium
- The slope of the tangent to a curve \(y=\mathrm{f}(x)\) at \((x, \mathrm{f}(x))\) is \(2 x+1\). If the curve passes through the point \((1,2)\), then the area (in sq. units), bounded by the curve, the \(\mathrm{X}\)-axis and the line \(x=1\), isMHT CET 2023 Medium
- ________MHT CET 2019 Medium
- For the triangle ABC , with usual notations, if the angles \(A, B, C\) are in A.P. and \(\mathrm{m} \angle \mathrm{A}=30^{\circ}, \mathrm{c}=3\), then the values of a and b are respectivelyMHT CET 2024 Medium
- The statement pattern \((p \wedge q) \wedge[(p \wedge q) \vee(\sim p \wedge q)]\) is equivalent toMHT CET 2021 Easy
More PYQs from MHT CET
- The solution of differential equation \(x^{2} \frac{d y}{d x}=y^{2}+x y\) isMHT CET 2020 Easy
- Which parameter is indicated by the number of waves passing through a given point in one second?MHT CET 2024 Easy
- Which from following properties is exhibited by group 2 elements?MHT CET 2023 Easy
- Which among the following is NOT allylic halide?MHT CET 2024 Easy
- A stretched string fixed at both ends has ‘m’ nodes, then the length of the string will beMHT CET 2019 Easy
- Which from following statements is NOT true about absorption?MHT CET 2024 Medium