1

JEE Advanced 2015 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Consider the family of all circles whose centres lie on the straight line $$y=x,$$ If this family of circle is represented by the differential equation $$Py'' + Qy' + 1 = 0,$$ where $$P, Q$$ are functions of $$x,y$$ and $$y'$$ $$\left( {here\,\,\,y' = {{dy} \over {dx}},y'' = {{{d^2}y} \over {d{x^2}}}} \right)$$ then which of the following statements is (are) true?

2

JEE Advanced 2015 Paper 1 Offline

Numerical

+4

-0

Let $$f:R \to R$$ be a function defined by

$$f\left( x \right) = \left\{ {\matrix{ {\left[ x \right],} & {x \le 2} \cr {0,} & {x > 2} \cr } } \right.$$ where $$\left[ x \right]$$ is the greatest integer less than or equal to $$x$$, if $$I = \int\limits_{ - 1}^2 {{{xf\left( {{x^2}} \right)} \over {2 + f\left( {x + 1} \right)}}dx,} $$ then the value of $$(4I-1)$$ is

$$f\left( x \right) = \left\{ {\matrix{ {\left[ x \right],} & {x \le 2} \cr {0,} & {x > 2} \cr } } \right.$$ where $$\left[ x \right]$$ is the greatest integer less than or equal to $$x$$, if $$I = \int\limits_{ - 1}^2 {{{xf\left( {{x^2}} \right)} \over {2 + f\left( {x + 1} \right)}}dx,} $$ then the value of $$(4I-1)$$ is

Your input ____

3

JEE Advanced 2015 Paper 1 Offline

Numerical

+4

-0

Let $$F\left( x \right) = \int\limits_x^{{x^2} + {\pi \over 6}} {2{{\cos }^2}t\left( {dt} \right)} $$ for all $$x \in R$$ and $$f:\left[ {0,{1 \over 2}} \right] \to \left[ {0,\infty } \right]$$ be a continuous function. For $$a \in \left[ {0,{1 \over 2}} \right],\,$$ $$F'(a)+2$$ is the area of the region bounded by $$x=0, y=0, y=f(x)$$ and $$x=a,$$ then $$f(0)$$ is

Your input ____

4

JEE Advanced 2015 Paper 1 Offline

Numerical

+4

-0

The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least $$0.96,$$ is

Your input ____

Paper analysis

Total Questions

Chemistry

20

Mathematics

20

Physics

20

More papers of JEE Advanced

JEE Advanced 2023 Paper 2 Online

JEE Advanced 2023 Paper 1 Online

JEE Advanced 2022 Paper 2 Online

JEE Advanced 2022 Paper 1 Online

JEE Advanced 2021 Paper 2 Online

JEE Advanced 2021 Paper 1 Online

JEE Advanced 2020 Paper 2 Offline

JEE Advanced 2020 Paper 1 Offline

JEE Advanced 2019 Paper 2 Offline

JEE Advanced 2019 Paper 1 Offline

JEE Advanced 2018 Paper 2 Offline

JEE Advanced 2018 Paper 1 Offline

JEE Advanced 2017 Paper 2 Offline

JEE Advanced 2017 Paper 1 Offline

JEE Advanced 2016 Paper 2 Offline

JEE Advanced 2016 Paper 1 Offline

JEE Advanced 2015 Paper 2 Offline

JEE Advanced 2015 Paper 1 Offline

JEE Advanced 2014 Paper 2 Offline

JEE Advanced 2014 Paper 1 Offline

JEE Advanced 2013 Paper 2 Offline

JEE Advanced 2013 Paper 1 Offline

IIT-JEE 2012 Paper 2 Offline

IIT-JEE 2012 Paper 1 Offline

IIT-JEE 2011 Paper 1 Offline

IIT-JEE 2011 Paper 2 Offline

IIT-JEE 2010 Paper 1 Offline

IIT-JEE 2010 Paper 2 Offline

IIT-JEE 2009 Paper 2 Offline

IIT-JEE 2009 Paper 1 Offline

IIT-JEE 2008 Paper 2 Offline

IIT-JEE 2008 Paper 1 Offline

IIT-JEE 2007

IIT-JEE 2007 Paper 2 Offline

IIT-JEE 2006

IIT-JEE 2006 Screening

IIT-JEE 2005 Screening

IIT-JEE 2005

IIT-JEE 2004

IIT-JEE 2004 Screening

IIT-JEE 2003

IIT-JEE 2003 Screening

IIT-JEE 2002

IIT-JEE 2002 Screening

IIT-JEE 2001

IIT-JEE 2001 Screening

IIT-JEE 2000

IIT-JEE 2000 Screening

IIT-JEE 1999

IIT-JEE 1999 Screening

IIT-JEE 1998

IIT-JEE 1998 Screening

IIT-JEE 1997

IIT-JEE 1996

IIT-JEE 1995

IIT-JEE 1995 Screening

IIT-JEE 1994

IIT-JEE 1993

IIT-JEE 1992

IIT-JEE 1991

IIT-JEE 1990

IIT-JEE 1989

IIT-JEE 1988

IIT-JEE 1987

IIT-JEE 1986

IIT-JEE 1985

IIT-JEE 1984

IIT-JEE 1983

IIT-JEE 1982

IIT-JEE 1981

IIT-JEE 1980

IIT-JEE 1979

IIT-JEE 1978

JEE Advanced
Papers

2020

2019

1997

1996

1994

1993

1992

1991

1990

1989

1988

1987

1986

1985

1984

1983

1982

1981

1980

1979

1978