CAT 2013 | Question: 17

admin asked Mar 6, 2020 • edited Mar 26, 2022 by Lakshman Bhaiya

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CAT 2013 | Question: 10
$a,b$ and $c$ are the lengths of the triangle $\text{ABC}$ and $d,e$ and $f$ are the lengths of the sides of the triangle $\text{DEF}$. If the following equations hold true: $a(a+b+c)=d^2$ $b(a+b+c)=e^2$ ... is always true of triangle $\text{DEF}?$ It is an acute-angled triangle It is an right-angled triangle It is an obtuse-angled triangle None of the above

$a,b$ and $c$ are the lengths of the triangle $\text{ABC}$ and $d,e$ and $f$ are the lengths of the sides of the triangle $\text{DEF}$. If the following equations hold tr...

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CAT 2013 | Question: 16
In a triangle $\text{PQR, PQ} = 12$ cm and $\text{PR} = 9$ cm and $\angle \text{Q} +\angle \text{R} = 120^{\circ}$. Find the length of $\text{QR}$ $\dfrac{15}{\sqrt2}$ cm $3\sqrt13$ cm $5\sqrt5$ cm $5\sqrt17$ cm

In a triangle $\text{PQR, PQ} = 12$ cm and $\text{PR} = 9$ cm and $\angle \text{Q} +\angle \text{R} = 120^{\circ}$. Find the length of $\text{QR}$$\dfrac{15}{\sqrt2}$ cm$...

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CAT 2013 | Question: 27
Each side of a polygon is either parallel to the $x$-axis or parallel to the $y$-axis. A corner of the polygon is known as convex if the corresponding internal angle is $90^\circ$ and as concave if the corresponding internal angle is $270^\circ$. If the polygon has $26$ convex corners, the number of its concave corners is $18$ $22$ $26$ $24$

Each side of a polygon is either parallel to the $x$-axis or parallel to the $y$-axis. A corner of the polygon is known as convex if the corresponding internal angle is $...

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CAT 2013 | Question: 30
The line $\text{L}$ passing through the points $(1,1)$ and $(2,0)$ meets the $y$-axis at $\text{A}$. The line through the point $\left(\dfrac{1}{2},0 \right)$ and perpendicular to $\text{L}$ meets the $y$-axis at $\text{B}$ and $\text{L}$ at $\text{C}$. Find area of the triangle $\text{ABC}$ $\dfrac{25}{16} \\$ $\dfrac{16}{9} \\$ $\dfrac{32}{19} \\$ $\dfrac{40}{23}$

The line $\text{L}$ passing through the points $(1,1)$ and $(2,0)$ meets the $y$-axis at $\text{A}$. The line through the point $\left(\dfrac{1}{2},0 \right)$ and perpend...

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CAT 2013 | Question: 1
Functions $g$ and $h$ are defined on $n$ constants, $a_0,a_1,a_2,a_3,...a_{n−1}$, as follows: $g(a_p,a_q)=a\mid p−q\mid$, if $\mid p-q \mid\leq(n-4) =a_n−\mid p−q\mid$, if $\mid p-q\mid>(n-4) h (a_p,a_q)=a_k$, where $k$ is the remainder when $p+q$ is divided by $n$. If $n=10$, find the value of $g(g(a_2,a_8),g(a_1,a_7))$, $a_9$ $a_7$ $a_2$ $a_0$

Functions $g$ and $h$ are defined on $n$ constants, $a_0,a_1,a_2,a_3,...a_{n−1}$, as follows: $g(a_p,a_q)=a\mid p−q\mid$, if $\mid p-q \mid\leq(n-4) =a_n−\mid p−...

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CAT 2013 | Question: 17

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