Other Maths · JEE Main previous year questions

2016 3 questions

1. Q22016 · 3 Apr 2016 · Shift 1

   The sum of all real values of $x$ satisfying the equation $(x^2-5x+5{)}^{x^2+4x-60}=1$ is :

   1. A.$6$
   2. B.$5$
   3. C.$3$
   4. D.$-4$
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   Answer: C

2. Q52016 · 3 Apr 2016 · Shift 1

   Two sides of a rhombus are along the lines, $x-y+1=0$ and $7x-y-5=0$. If its diagonals intersect at $(-1,-2)$, then which one of the following is a vertex of this rhombus?

   1. A.$\left(\frac{1}{3},-\frac{8}{3}\right)$
   2. B.$\left(-\frac{10}{3},-\frac{7}{3}\right)$
   3. C.$(-3,-9)$
   4. D.$(-3,-8)$
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   Answer: A

3. Q182016 · 3 Apr 2016 · Shift 1

   If $f(x)+2f\left(\frac{1}{x}\right)=3x,x\ne 0$, and $S=\{x\in \mathbf{R}:f(x)=f(-x)\}$; then $S$ :

   1. A.is an empty set.
   2. B.contains exactly one element.
   3. C.contains exactly two elements.
   4. D.contains more than two elements.
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   Answer: C