AP EAMCET · Maths · Complex Number
If and , then implies
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
logcos2θ|z−a|>logcos2θ|z−ai| cos2θ≠0, 1, since it is base of the logarithm So, cos2θ∈0,1 ⇒|z−a|<|z−ai| ⇒|x+yi−a|<|x+yi−ai| ⇒|(x−a)+yi|<|x+(y−a)i|…
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
- If the order and degree of the differential equation \(x \frac{d^2 y}{d x^2}=\left(1+\left(\frac{d^2 y}{d x^2}\right)^2\right)^{-1 / 2}\) are k and \(l\) respectively, then \(\mathrm{k}, l\) are the roots ofAP EAMCET 2025 Medium
- \(O A B C\) is a unit square where \(O\) is the origin and \(B=(1,1)\). The curves \(y^2=x\) and \(x^2=y\) divide the area of the square into three parts \(O A B O, O B O\) and \(O B C O\). If \(a_1, a_2, a_3\) are the areas (in sq units) of these parts respectively, then \(a_1+2 a_2+3 a_3=\)AP EAMCET 2018 Medium
- The equation \(4 x^2-24 x y+11 y^2=0\) representsAP EAMCET 2020 Medium
- If are respectively the terms of an arithmetic progression, thenAP EAMCET 2022 Easy
- In a triangle \(\mathrm{ABC},(\mathrm{b}+\mathrm{c}) \sin \frac{A}{2}=\)AP EAMCET 2022 Medium
- Match the following columns.
Column I Column 11 (A) The centroid of the triangle formed by (2, 3,-1), (5, 6, 3),(2,-3,1) is (p) (2,2,2) (B) The circumcentre of the triangle formed by (1, 2, 3), (2, 3, 1),(3, 1, 2) is (q) (3, 1, 4) (C) The orthocentre of the triangle formed by (2, 1, 5), (3, 2, 3), (4, 0, 4) is (r) (1, 1, 0) (D) The incentre of the triangle formed by (0, 0, 0), (3, 0, 0), (4, 0, 4) is (s) (3, 2, 1) (E) The incentre of the triangle formed by (0, 0, 0), (3, 0, 0), (4, 0, 4) is (t) (0, 0, 0) AP EAMCET 2015 Hard
More PYQs from AP EAMCET
- A non-conducting body floats in a liquid at \(20^{\circ} \mathrm{C}\) with \(\frac{2}{3}\) of its volume immersed in the liquid. When liquid temperature is increased to \(100^{\circ} \mathrm{C}, \frac{3}{4}\) of body's volume is immersed in the liquid. Then the coefficient of real expansion of the liquid is (neglecting the expansion of container of the liquid)AP EAMCET 2011 Medium
- A cell can supply currents of and via resistances of and respectively. The internal resistance of the cell isAP EAMCET 2022 Easy
- If \(u=\sin \left(\frac{x}{y}\right), x=e^t\) and \(y=t^2\), then\(t^6\left(\frac{d u}{d t}\right)^2 \div e^{2 t}(t-2)^2=\)AP EAMCET 2023 Hard
- Three letters are chosen at random from the letters of the word VARIABLE and all possible three letter words (with or without meaning) are formed with them. Then the probability of getting a three letter word having a consonent as its middle letter isAP EAMCET 2025 Medium
- Match the following
AP EAMCET 2023 Easy - At a given instant of time two particles are having the position vectors \(4 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+57 \hat{\mathbf{k}}\) metres and \(2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\) respectively. If the velocity of the first particle be \(0.4 \hat{\mathbf{i}} \mathrm{ms}^{-1}\), the velocity of second particle in metre per second if they collide after \(10 \mathrm{sec}\) isAP EAMCET 2004 Medium