GATE IN 2005 | GATE IN Year Wise Previous Years Questions

PREVIOUS NEXT

GATE IN 2005

MCQ (Single Correct Answer)

-0.3

If a vector $$\overrightarrow R \left( t \right)$$ has a constant magnitude then

$$\overrightarrow R .{{d\overrightarrow R } \over {dt}} = 0$$

$$\overrightarrow R \times {{d\overrightarrow R } \over {dt}} = 0$$

$$\overrightarrow R .\overrightarrow R {{d\overrightarrow R } \over {dt}}$$

$$\overrightarrow R \times \overrightarrow R {{d\overrightarrow R } \over {dt}}$$

GATE IN 2005

MCQ (Single Correct Answer)

-0.3

The probability that there are $$53$$ Sundays in a randomly chosen leap year is

$${1 \over 7}$$

$${1 \over 14}$$

$${1 \over 28}$$

$${2 \over 7}$$

GATE IN 2005

MCQ (Single Correct Answer)

-0.3

The general solution of the differential equation $$\left( {{D^2} - 4D + 4} \right)y = 0$$ is of the form (given $$D = {d \over {dx}}$$ and $${C_1},{C_2}$$ are constants)

$${C_1}\,{e^{2x}}$$

$${C_1}\,{e^{2x}} + {C_2}\,{e^{ - 2x}}$$

$${C_1}\,{e^{2x}} + {C_2}\,{e^{2x}}$$

$${C_1}\,{e^{2x}} + {C_2}\,x\,{e^{2x}}$$

GATE IN 2005

MCQ (Single Correct Answer)

-0.3

Let $${z^3}\, = \,\overline z $$, where z is a complex number not equal to zero. Then z is a solution of

$${z^2} = 1$$

$${z^3} = 1$$

$${z^4} = 1$$

$${z^9} = 1$$

PREVIOUS NEXT

GATE IN Papers

All year-wise previous year question papers

2017

GATE IN 2017

English

2016

2015

2014

2013

2012

2011

2010

2009

2008

2007

2006

2005

2002

2001

2000

1999

1997

1995

1994