Aspire Faculty ID #13846 · Topic: JAMIA MILLIA ISLAMIA MCA 2021 · Just now
JAMIA MILLIA ISLAMIA MCA 2021

The equation of a circle with origin as centre and passing through the vertices of an equ

Solution

Median of equilateral triangle = $\dfrac{\sqrt{3}}{2} \times \text{side}$ $\Rightarrow 3a = \dfrac{\sqrt{3}}{2} \times \text{side}$ $\Rightarrow \text{side} = 2\sqrt{3}a$ Radius (distance from centre to vertex) = $\dfrac{\text{side}}{\sqrt{3}} = 2a$. Equation: $x^2 + y^2 = (2a)^2 = 4a^2$. $\boxed{\text{Answer: (C) }x^2 + y^2 = 4a^2}$
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Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2021

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1
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
 2
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
 3
The minimum value of $4^x + 4^{1-x},\ x \in \mathbb{R}$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 4
The total number of terms in the expansion of $(x+a)^{100} + (x-a)^{100}$ after simplification is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 5
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
 6
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
 7
The complex number $z$ which satisfies the condition $\left|\dfrac{z+i}{z-1}\right| = 1$ lies on
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 8
The value of $\tan 3A - \tan 2A - \tan A$ is equal to:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 9
The value of $\tan 3A - \tan 2A - \tan A$ is equal to:
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 10
Which of the following is correct?
Topic: JAMIA MILLIA ISLAMIA MCA 2021

Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2021

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1
The locus of a point for which $y=0,\ z=0$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 2
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
 3
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
 4
the standard deviation of some temperature data in °C is 5. If the data were converted into °F, the variance would be:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 5
Three numbers are chosen from 1 to 20. Find the probability that they are consecutive.
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 6
The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probabili…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 7
The maximum number of equivalence relations on the set $A = \{1,2,3\}$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 8
If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 9
If $\cos\alpha + \cos\beta + \cos\gamma = 3\pi$, then $\alpha((\beta + \gamma) + \beta(\gamma + \alpha) + \gamma(\alp…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
 10
If A is a square matrix such that $A^2 = I$, then $(A - I)^3 + (A - I)^3 - 7A$ is equal to:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
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