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In triangle ABC, a=120, c=180 and angle $\beta=56^{\circ}$ then the third side of the triangle is
NET
NUST Entry Test
Mathematics
Fundamentals of Trignometry
In triangle ABC, in which a=12, c=180 and angle $\beta=44^{\circ}$ then the third side of the triangle is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
In triangle ABC, in which b=95, c=34, $\alpha=52^{\circ}$ then the value of a=
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
In triangle ABC, angle $\beta=110^{\circ}$,side a=10cm and side c=15cm then the side b=
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
If the cosines of two of the angles of a triangle are propotional to the opposite sides, then the triangle is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
If $\triangleABC$ is right, law of cosine reduces to
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
In $\triangleABC$, if $\gamma=90^{\circ}$, then according to law of cosine the value of the square of the side c is defined as:
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
Evaluate $\mathop {\lim }\limits_{x \to 0} \frac{{\sin \left( {6x} \right)}}{x}$
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NUST Entry Test
Mathematics
Functions and Limits
Vertical asymptotes of the graph $f(x) = \frac{x-2}{x^{2}-4}$
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NUST Entry Test
Mathematics
Functions and Limits
If $f(x)=2$, then find the value of $f(x+2)$
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NUST Entry Test
Mathematics
Functions and Limits
If $x$ is a real number, which of the following function is odd?
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NUST Entry Test
Mathematics
Functions and Limits
Determine if the function $\frac{f(x)-f(-x)}{2}$ is even or odd
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NUST Entry Test
Mathematics
Functions and Limits
If domain of a function $f(x)=x^{2}$ is {$1,-1,0,2,-2$}, find its range
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NUST Entry Test
Mathematics
Functions and Limits
Find $f^{-1}(x)$ of $f(x)=x^{3}$
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NUST Entry Test
Mathematics
Functions and Limits
Domain of the function $\frac{1}{\sqrt{x^{2}+3x+2}}$ is
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NUST Entry Test
Mathematics
Functions and Limits
If $f(x)=2x+3$ and $g(x)=x^{3}$ then find $gof$
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NUST Entry Test
Mathematics
Functions and Limits
Evaluate $\mathop {\lim }\limits_{x \to \infty } \left( {\frac{{\ln \left( x \right)}}{x}} \right)$
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NUST Entry Test
Mathematics
Functions and Limits
A function is said to be even when
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NUST Entry Test
Mathematics
Functions and Limits
Evaluate $\mathop {\lim }\limits_{n \to \infty } {\left( {1 - \frac{1}{n}} \right)^{2n}}$
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NUST Entry Test
Mathematics
Functions and Limits
Evaluate $\mathop {\lim }\limits_{x \to 6} \left( {\frac{{\sqrt x - \sqrt 6 }}{{x - 6}}} \right)$:
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NUST Entry Test
Mathematics
Functions and Limits
If $f(x)=(x+1)^{2}$ and $g(x)=x-1$, find $f(g(4))$
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NUST Entry Test
Mathematics
Functions and Limits
If $f(x)= \frac{1}{x^{2}}$, find the value of $f^{-1}(1)$
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NUST Entry Test
Mathematics
Functions and Limits
If $f(x)=g(x)$ and $g(x)$ is the inverse of $f(x)$, what will be the value of $g'(1)$
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NUST Entry Test
Mathematics
Functions and Limits
$\lim_{x \rightarrow 3}\sqrt{x^{2}+x+4}$=
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Mathematics
Functions and Limits
$\lim_{x \rightarrow 2}x+\sqrt{x^{2}-4}$=
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NUST Entry Test
Mathematics
Functions and Limits
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