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India
Class XI

Domain and Range of Hyperbolas

Interactive practice questions

What is the domain of the function defined by $f\left(x\right)=\frac{1}{x+5}$f(x)=1x+5?

$\left(-\infty,1\right)$(,1)$\cup$$\left(1,\infty\right)$(1,)

A

$\left(-\infty,0\right)$(,0)$\cup$$\left(0,\infty\right)$(0,)

B

$\left(-\infty,-5\right)$(,5)$\cup$$\left(-5,\infty\right)$(5,)

C

$\left(-\infty,5\right)$(,5)$\cup$$\left(5,\infty\right)$(5,)

D
Easy
< 1min

Consider the function $y=\frac{2}{x+1}$y=2x+1.

Easy
3min

Consider the function $y=\frac{3}{x}+2$y=3x+2.

Easy
5min

Consider the function $y=-\frac{3}{x}+4$y=3x+4.

Easy
3min
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Outcomes

11.SF.RF.2

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

11.CG.CS.1

Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

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