Quantrex Academy Quantrex AcademyJEE Maths PYQs with solutions

Home · JEE Maths · Year-wise · 2006

JEE Mathematics 2006 previous year questions with solutions

53 JEE Mathematics questions from 2006 in the Quantrex bank. Featured questions below open unique solution pages. Browse by chapter on JEE Mathematics.

53 questions2006
1

If f(x) is cubic polynomial which has local maximum at x=-1 . If f(2)=18, f(1)=-1 and f^ (x) has local minimum at x=0 , then

JEE Advanced 2006 Application of Derivatives Solution View → 2

Tangent is drawn at any point P of a curve which passes through (1,1) cutting X -axis and Y -axis at A and B , respectively. If A P: B P=3: 1 , then

JEE Advanced 2006 Application of Derivatives Solution View → 3

Paragraph: Read the following passage and answer the questions. For every function f(x) which is twice differentiable, these will be good approximation of _a^b

JEE Advanced 2006 Application of Derivatives Solution View → 4

If f(x) is twice differentiable function such that f(a)=0, f(b)=2, f(c)=1, f(d)=2 , f(e)=0 , where a < b < c < d < e , then the minimum number of zeros of g(x)=

JEE Advanced 2006 Application of Derivatives Solution View → 5

Paragraph: Read the following passage and answer the questions. Let A B C D be a square of side length 2 units. C₂ is the circle through vertices A, B, C, D and

JEE Advanced 2006 Circle Solution View → 6

If the lines 3 x-4 y-7=0 and 2 x-3 y-5=0 are two diameters of a circle of area 49 square units, the equation of the circle is

JEE Main 2006 Circle Solution View → 7

Let C be the circle with centre (0,0) and radius 3 units. The equation of the locus of the mid points of the chords of the circle C that subtend an angle of 2 3

JEE Main 2006 Circle Solution View → 8

If w= +i , where 0 and z 1 satisfies the condition that ( w- w z 1-z ) is purely real, then the set of values of z is

JEE Advanced 2006 Complex Number Solution View → 9

If f(x)= 1, x^2, x^3 , then

JEE Advanced 2006 Continuity and Differentiability Solution View → 10

The set of points where f(x)= x 1+|x| is differentiable is

JEE Main 2006 Continuity and Differentiability Solution View → 11

Paragraph: Read the following passage and answer the questions. For every function f(x) which is twice differentiable, these will be good approximation of _a^b

JEE Advanced 2006 Definite Integration Solution View → 12

The value of (5050) ₀^1 (1-x⁵⁰ )¹⁰⁰ d x ₀^1 (1-x⁵⁰ )¹⁰¹ d x

JEE Advanced 2006 Definite Integration Solution View → 13

Match the following.

JEE Advanced 2006 Definite Integration Solution View → 14

If f^ (x)=-f(x) , where f(x) is a continuous double differentiable function and g(x)=f^ (x) . If F(x)= (f ( x 2 ) )^2+ (g ( x 2 ) )^2 and F(5)=5 , then F(10) is

JEE Advanced 2006 Differentiation Solution View → 15

If x^m y^n=(x+y)^ m+n , then d y d x is

JEE Main 2006 Differentiation Solution View → 16

In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is

JEE Main 2006 Ellipse Solution View → 17

If e₁ is the eccentricity of the ellipse x^2 16 + y^2 25 =1 and e₂ is the eccentricity of the hyperbola passing through the focii of the ellipse and e₁ e₂=1 , t

JEE Advanced 2006 Hyperbola Solution View → 18

The value of (x^2-1 ) d x x^3 2 x^4-2 x^2+1 is

JEE Advanced 2006 Indefinite Integration Solution View → 19

For x>0, _ x 0 (( x)^ 1 / x + ( 1 x )^ x ) is

JEE Advanced 2006 Limits Solution View → 20

Paragraph: Read the following passage and answer the questions. For every function f(x) which is twice differentiable, these will be good approximation of _a^b

JEE Advanced 2006 Limits Solution View → 21

Paragraph: Read the following passage and answer the questions. Question: The value of |U| is

JEE Advanced 2006 Matrices Solution View → 22

Paragraph: Read the following passage and answer the questions. Question: The value of the elements of U⁻¹ is

JEE Advanced 2006 Matrices Solution View → 23

Paragraph: Read the following passage and answer the questions. Question: The value of [ array lll 3 & 2 & 0 array ] [ array l 3 2 0 array ] is

JEE Advanced 2006 Matrices Solution View → 24

Axis of a parabola is y=x and vertex and focus are at a distance 2 and 2 2 respectively, from the origin. Then, equation of the parabola is

JEE Advanced 2006 Parabola Solution View →

Other years

2015 · 872016 · 882017 · 882018 · 1302019 · 3492020 · 1,1412021 · 6632022 · 6502023 · 7522024 · 6342025 · 5072026 · 509
All JEE Maths chapters →