Straight Lines · JEE Main previous year questions

2002 3 questions

1. Q312002 · 27 Apr 2002 · Shift 1

   If $y=f(x)$ makes $+ve$ intercept of $2$ and $0$ unit on $x$ and $y$ axes and encloses an area of $3/4$ square unit with the axes then ${\int }_0^{2}x{f}^{\prime }(x)dx$ is

   1. A.$3/2$
   2. B.$1$
   3. C.$5/4$
   4. D.$-3/4$
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   Answer: D

2. Q522002 · 27 Apr 2002 · Shift 1

   A triangle with vertices $(4,0),(-1,-1),(3,5)$ is :

   1. A.isosceles and right angled
   2. B.isosceles but not right angled
   3. C.right angled but not isosceles
   4. D.neither right angled nor isosceles
   Show answer

   Answer: A

3. Q722002 · 27 Apr 2002 · Shift 1

   The pair of lines represented by $3a{x}^2+5xy+(a^2-2)y^2=0$ are perpendicular to each other for :

   1. A.two values of $a$
   2. B.$\forall a$
   3. C.for one value of $a$
   4. D.for no values of $a$
   Show answer

   Answer: A