Aspire Faculty ID #13839 · Topic: JAMIA MILLIA ISLAMIA MCA 2021 · Just now
JAMIA MILLIA ISLAMIA MCA 2021

The complex number $z$ which satisfies the condition $\left|\dfrac{z+i}{z-1}\right| = 1$ lies on

Solution

Let $z = x + iy$ Then $\left|\dfrac{z+i}{z-1}\right| = 1 \Rightarrow |z+i| = |z-1|$ $\Rightarrow (x)^2 + (y+1)^2 = (x-1)^2 + y^2$ $\Rightarrow 2x = 1 - 2y$ $\Rightarrow x + y = \dfrac{1}{2}$ Hence the locus is a straight line.
← Previous Next →

Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2021

Nearest first
1
The value of $\tan 3A - \tan 2A - \tan A$ is equal to:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 2
The value of $\tan 3A - \tan 2A - \tan A$ is equal to:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 3
Which of the following is correct?
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 4
If $[x^2] - 5[x] + 6 = 0$, where $[\,]$ denotes the greatest integer function, then
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 5
$F_1$ = set of parallelograms, $F_2$ = rectangles, $F_3$ = rhombuses, $F_4$ = squares, $F_5$ = trapeziums. $F_1$ may be…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 6
$\text{The set }(A\cap B)'\ \cup\ (B\cap C)\ \text{ is equal to:},$
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 7
Choose the alternative that substitutes:“A style in which a writer makes display of his knowledge”
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 8
Which is the antonym of the word ‘EXODUS’?
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 9
Select the word most similar in meaning to ‘SOLITUDE’.
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 10
The word ‘Concurrence’ is similar in meaning to the following words except:
Topic: JAMIA MILLIA ISLAMIA MCA 2021

Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2021

Ascending by ID
1
A five-digit number divisible by $3$ is to be formed using the numbers $0,1,2,3,4,5$ without repetitions. The total n…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 2
Given 5 different green dyes, 4 different blue dyes and 3 different red dyes, the number of combinations of dyes whic…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 3
The total number of terms in the expansion of $(x+a)^{100} + (x-a)^{100}$ after simplification is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 4
The minimum value of $4^x + 4^{1-x},\ x \in \mathbb{R}$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 5
The coordinates of the foot of perpendicular from the point $(2,3)$ on the line $y = 3x + 4$ is given by:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 6
Equations of diagonals of the square formed by the lines $x = 0,\ y = 0,\ x = 1$ and $y = 1$ are:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 7
The equation of a circle with origin as centre and passing through the vertices of an equ
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 8
The locus of a point for which $y=0,\ z=0$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 9
In an A.P. the $p^{th}$ term is $q$ and the $(p+q)^{th}$ term is $0$. Then the $q^{th}$ term is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 10
Let $f(x) = x - [x]$, where $[\,]$ denotes the greatest integer function. Then $f\left(\dfrac{5}{2}\right)$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Ask Your Question or Put Your Review.

loading...