Hyperbolas and Other Rational Functions
India
Class XI
Find the equation of a Hyperbola
Interactive practice questions
Answer the following.
a
Find the value of $b$b if $\left(-6,b\right)$(−6,b) lies on the hyperbola $xy=-12$xy=−12.
b
In which quadrants does the hyperbola lie?
2
A
4
B
1
C
3
D
Easy
1min
Consider the table of values for the function $y$y.
Easy
1min
The point $P$P$\left(1,4\right)$(1,4) lies on the hyperbola with equation $y=\frac{k}{x}$y=kx. Find the value of $k$k, and hence find the equation of the hyperbola shown.
Easy
1min
The point $P$P$\left(-2,2\right)$(−2,2) lies on the hyperbola with equation $y=\frac{k}{x}$y=kx. Find the value of $k$k, and hence find the equation of the hyperbola shown.
Medium
1min
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