In the triangle $ABC$, sides $AB$, $BC$, and $CA$ are extended such that $B'$, $C'$, and $A'$ are the new points formed. If the area of $\triangle ABC = 1$ unit and $AA' = 2AB,\ BB' = 2BC,\ CC' = 3AC$, then find the area of $\triangle A'B'C'$.

1

$1 + i,\ 3 + 2i,\ 5 + 3i$ then the points are

Topic: MAH MCA CET 2023

2

Which of the following is used to move the document?

Topic: MAH MCA CET 2023

3

How many times does the number $2$ appear in the range $1$ to $1000$?

Topic: MAH MCA CET 2023

4

$f(x) = \sqrt{\log_{1/4}\left(\dfrac{5x - x^2}{4}\right)}$, find the domain of $f(x)$.

Topic: MAH MCA CET 2023

5

________ are attempts by individuals to obtain confidential information from you by falsifying their identity.

Topic: MAH MCA CET 2023

6

The number of values of $C$ such that the straight line $y = 4x + C$ touches the curve $x^2 + 4y^2 = 4$ is

Topic: MAH MCA CET 2023

7

Sum of squares of odd positive integers $1$ to $100$ belongs to

Topic: MAH MCA CET 2023

8

$x$ is a G.M., $y$ is a H.M. of two numbers. If $\dfrac{x}{y} = \dfrac{5}{4}$, then the numbers are in ratio

Topic: MAH MCA CET 2023

9

If “tip” is to “pit”, then “pool” is to

Topic: MAH MCA CET 2023

10

To take any text from its outside site to another site without deleting it is called

Topic: MAH MCA CET 2023

1

A cone of base radius $1$ and height $15,m$ is melted to form a sphere of equal radius. Find radius nearer to:

Topic: MAH MCA CET 2023

2

Line intersect on the hyperbola at points $(-2,-6)$ and $(4,2)$, and their asymptotes are $(1,-2)$. Then the centre of …

Topic: MAH MCA CET 2023

3

The fourth closest square root of $10$ is

Topic: MAH MCA CET 2023

4

If $\log_3 2 = x$ and $\log_3 5 = y$, find $\log_3 1620$.

Topic: MAH MCA CET 2023

5

$i^i = \ ?$

Topic: MAH MCA CET 2023

6

Electronic spreadsheet contains (most correct answer):

Topic: MAH MCA CET 2023

7

Find the value of 1, 4, 9, 16, ___

Topic: MAH MCA CET 2023

8

The number of diagonals in a polygon of $m$ sides is

Topic: MAH MCA CET 2023

9

If $\log_5 2 = x$, then find $\log_5 800$.

Topic: MAH MCA CET 2023

10

If $f(x): [0,3] \to [1,29]$ and $f(x) = 2x^3 - 15x^2 + 36x + 1$, then $f(x)$ is

Topic: MAH MCA CET 2023