Aspire's Library

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
  • AMU MCA
    Previous Year Questions

AMU MCA Previous Year Questions (PYQs)

AMU MCA Continuity PYQ

AMU MCA PYQ
Which of the following function is continuous at origin?





Go to Discussion
AMU MCA Previous Year PYQ AMU MCA AMU MCA 2021 PYQ

Solution

$z=(a^2+b^2)x+by$
AMU MCA PYQ
The continuous function $f:\mathbb{R}\to\mathbb{R}$ defined by $f(x)=\sqrt{x^2+1}$ is





Go to Discussion
AMU MCA Previous Year PYQ AMU MCA AMU MCA 2021 PYQ

Solution

Range: $[1,\infty)$ Not onto $\mathbb{R}$ Not one-one (since $f(x)=f(-x)$)
AMU MCA PYQ
Let $f(x,y)=\begin{cases} 0,& xy\ne0\ 1,& xy=0 \end{cases}$ Which is true?





Go to Discussion
AMU MCA Previous Year PYQ AMU MCA AMU MCA 2021 PYQ

Solution

Limit at $(0,0)$ depends on path. So not continuous. Partials do not exist.
AMU MCA PYQ
Let $f(x,y)=\begin{cases} 0,& xy\ne0\ 1,& xy=0 \end{cases}$ Which is true?





Go to Discussion
AMU MCA Previous Year PYQ AMU MCA AMU MCA 2021 PYQ

Solution

Limit at $(0,0)$ depends on path. So not continuous. Partials do not exist.

AMU MCA

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

AMU MCA

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More
Ask Your Question or Put Your Review.

loading...