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JEE Mathematics 2011 previous year questions with solutions

55 JEE Mathematics questions from 2011 in the Quantrex bank. Featured questions below open unique solution pages. Browse by chapter on JEE Mathematics.

55 questions2011
1

The number of distinct real roots of x^4-4 x^3+12 x^2+x-1=0 is

JEE Advanced 2011 Application of Derivatives Solution View → 2

Let the straight line x=b divide the area enclosed by y=(1-x)^2, y=0 and x=0 into two parts R₁(0 x b) and R₂(b x 1) such that R₁-R₂= 1 4 . Then, b equals to

JEE Advanced 2011 Area Under Curves Solution View → 3

The area of the region enclosed by the curves y=x, x=e, y= 1 x and the positive x -axis is

JEE Main 2011 Area Under Curves Solution View → 4

Let (x₀, y₀ ) be the solution of the following equations (2 x)^ 2 =(3 y)^ 3 , 3^ x =2^ y , then x₀ is equal to

JEE Advanced 2011 Basics of Mathematics Solution View → 5

The circle passing through the point (-1,0) and touching the Y -axis at (0,2) , also passes through the point

JEE Advanced 2011 Circle Solution View → 6

The straight line 2 x-3 y=1 divides the circular region x^2+y^2 6 into two parts. If S= (2, 3 4 ), ( 5 2 , 3 4 ), ( 1 4 ,- 1 4 ), ( 1 8 , 1 4 ) , then the numbe

JEE Advanced 2011 Circle Solution View → 7

The two circles x^2+y^2=a x and x^2+y^2=c^2(c>0) touch each other if

JEE Main 2011 Circle Solution View → 8

Let =e^ i / 3 and a, b, c, x, y, z be non-zero complex numbers such that a+b+c=x, a+b +c ^2=y, a+b ^2+c =z . Then, the value of |x|^2+|y|^2+|z|^2 |a|^2+|b|^2+|c

JEE Advanced 2011 Complex Number Solution View → 9

Paragraph: Let a , b and c be three real numbers satisfying [ array lll a & b & c array ] [ array lll 1 & 9 & 7 8 & 2 & 7 7 & 3 & 7 array ]= [ array lll 0 & 0 &

JEE Advanced 2011 Complex Number Solution View → 10

If z is any complex number satisfying |z-3-2 i| 2 , then the maximum value of |2 z-6+5 i| is

JEE Advanced 2011 Complex Number Solution View → 11

If f(x)= array cc -x- 2 , & x - 2 - x, & - 2 1 array . , then

JEE Advanced 2011 Continuity and Differentiability Solution View → 12

Let f: R R be a function such that f(x+y)=f(x)+f(y), x, y R . If f(x) is differentiable at x=0 , then

JEE Advanced 2011 Continuity and Differentiability Solution View → 13

The value of p and q for which the function f(x)= array cl (p+1) x+ x x & x 0 array . is continuous for all x in R , is

JEE Main 2011 Continuity and Differentiability Solution View → 14

Let f:[-1,2] [0, ) be a continuous function such that f(x)=f(1-x) for all x [-1,2] . Let R₁= _ -1 ^2 x f(x) d x and R₂ be the area of the region bounded by y=f(

JEE Advanced 2011 Definite Integration Solution View → 15

Match the statements given in Column I with the values given in Column II.

JEE Advanced 2011 Definite Integration Solution View → 16

The value of _ 2 ^ 3 x x^2 x^2+ ( 6-x^2 ) d x is

JEE Advanced 2011 Definite Integration Solution View → 17

Let f:[1, ) [2, ) be a differentiable function such that f(1)=2 . If 6 ₁^x f(t) d t=3 x f(x)-x^3 for all x 1 , then the value of f(2) is

JEE Advanced 2011 Definite Integration Solution View → 18

The number of values of k for which the linear equations 4 x+k y+2 z=0 ; k x+4 y+z=0 ; 2 x+2 y+z=0 possess a non-zero solution is

JEE Main 2011 Determinants Solution View → 19

Let y^ (x)+y(x) g^ (x)=g(x) g^ (x) y(0)=0, x R , where f^ (x) denotes d f(x) d x and g(x) is a given non-constant differentiable function on R with g(0)=g(2)=0

JEE Advanced 2011 Differential Equations Solution View → 20

d^2 x d y^2 equals

JEE Main 2011 Differentiation Solution View → 21

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3,1) and has eccentricity 2 5 is

JEE Main 2011 Ellipse Solution View → 22

Let f:(0,1) R be defined by f(x)= b-x 1-b x , where b is a constant such that 0 < b < 1 . Then,

JEE Advanced 2011 Functions Solution View → 23

Match the statements given in Column I with the intervals/union of intervals given in Column II.

JEE Advanced 2011 Functions Solution View → 24

Let P(6,3) be a point on the hyperbola x^2 a^2 - y^2 b^2 =1 . If the normal at the point P intersects the X -axis at (9,0) , then the eccentricity of the hyperb

JEE Advanced 2011 Hyperbola Solution View →

Other years

2015 · 872016 · 882017 · 882018 · 1302019 · 3492020 · 1,1412021 · 6632022 · 6502023 · 7522024 · 6342025 · 5072026 · 509
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