Other Maths · JEE Main previous year questions

2002 13 questions

1. Q492002 · 27 Apr 2002 · Shift 1

   $f$ is defined in $[-5,5]$ as $f(x)=x$ if $x$ is rational $=-x$ if $x$ is irrational. Then

   1. A.$f(x)$ is continuous at every x, except $x=0$
   2. B.$f(x)$ is discontinuous at every $x$, except $x=0$
   3. C.$f(x)$ is continuous everywhere
   4. D.$f(x)$ is discontinuous everywhere
   Show answer

   Answer: B

2. Q582002 · 27 Apr 2002 · Shift 1

   The value of $2^{1/4}.4^{1/8}.8^{1/16}\dots \infty$ is

   1. A.1
   2. B.2
   3. C.3/2
   4. D.4
   Show answer

   Answer: B

3. Q592002 · 27 Apr 2002 · Shift 1

   $1^3-2^3+3^3-4^3+\dots +9^3=$

   1. A.425
   2. B.- 425
   3. C.475
   4. D.- 475
   Show answer

   Answer: A

4. Q632002 · 27 Apr 2002 · Shift 1

   The sides of a triangle are $3x+4y,4x+3y$ and $5x+5y$ where $x,y>0$ then the triangle is :

   1. A.right angled
   2. B.obtuse angled
   3. C.equilateral
   4. D.none of these
   Show answer

   Answer: B

5. Q702002 · 27 Apr 2002 · Shift 1

   ${\lim }_{n\to \infty }\frac{1^p+2^p+3^p+\dots \dots +n^p}{n^{p+1}}$ is

   1. A.$\frac{1}{p+1}$
   2. B.$\frac{1}{1-p}$
   3. C.$\frac{1}{p}-\frac{1}{p-1}$
   4. D.$\frac{1}{p+2}$
   Show answer

   Answer: A