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JEE Mathematics 2007 previous year questions with solutions

55 JEE Mathematics questions from 2007 in the Quantrex bank. Featured questions below open unique solution pages. Browse by chapter on JEE Mathematics.

55 questions2007
1

Let f(x)=2+ x for all real x . Statement I For each real t , there exists a point c in [t, t+ ] such that f^ (c)=0 . Statement II f(t)=f(t+2 ) for each real t .

JEE Advanced 2007 Application of Derivatives Solution View → 2

Let f(x)= x^2-6 x+5 x^2-5 x+6 .

JEE Advanced 2007 Application of Derivatives Solution View → 3

The tangent to the curve y=e^x drawn at the point (c, e^c ) intersects the line joining the points (c-1, e^ c-1 ) and (c+1, e^ c+1 )

JEE Advanced 2007 Application of Derivatives Solution View → 4

The area enclosed between the curves y^2=x and y=|x| is

JEE Main 2007 Area Under Curves Solution View → 5

Let A B C D be a quadrilateral with area 18 , with side A B parallel to the side C D and A B=2 C D . Let A D be perpendicular to A B and C D . If a circle is dr

JEE Advanced 2007 Circle Solution View → 6

Match the statements in Column I with the properties Column II.

JEE Advanced 2007 Circle Solution View → 7

Tangents are drawn from the point (17,7) to the circle x^2+y^2=169 . Statement I The tangents are mutually perpendicular. Statement II The locus of the points f

JEE Advanced 2007 Circle Solution View → 8

Consider a family of circles which are passing through the point (-1,1) and are tangent to x- axis. If (h, k) are the co-ordinates of the centre of the circles,

JEE Main 2007 Circle Solution View → 9

If |z|=1 and z 1 , then all the values of z 1-z^2 lie on

JEE Advanced 2007 Complex Number Solution View → 10

A man walks a distance of 3 units from the origin towards the North-East ( N 45^ E ) direction. From there, he walks a distance of 4 units towards the North-Wes

JEE Advanced 2007 Complex Number Solution View → 11

In the following [x] denotes the greatest integer less than or equal to x . Match the functions in Column I with the properties Column II.

JEE Advanced 2007 Continuity and Differentiability Solution View → 12

Let f: R R be a function defined by f(x)= Min x+1,|x|+1 . Then which of the following is true?

JEE Main 2007 Continuity and Differentiability Solution View → 13

Match the integrals in Column I with the values in Column II.

JEE Advanced 2007 Definite Integration Solution View → 14

Consider the following linear equations a x+b y+c z=0, b x+c y+a z=0, c x+a y+b z=0 Match the conditions/expressions in Column I with statements in Column II.

JEE Advanced 2007 Determinants Solution View → 15

If D= | array ccc 1 & 1 & 1 1 & 1+x & 1 1 & 1 & 1+y array | for x 0, y 0 then D is

JEE Main 2007 Determinants Solution View → 16

The differential equation d y d x = 1-y^2 y determines a family of circles with

JEE Advanced 2007 Differential Equations Solution View → 17

d^2 x d y^2 equals

JEE Advanced 2007 Differentiation Solution View → 18

A hyperbola, having the transverse axis of length 2 , is confocal with the ellipse 3 x^2+4 y^2=12 . Then, its equation is

JEE Advanced 2007 Ellipse Solution View → 19

Paragraph: If a continuous f defined on the real line R , assume positive and negative values in R , then the equation f(x)=0 has a root in R . For example, if

JEE Advanced 2007 Functions Solution View → 20

Paragraph: If a continuous f defined on the real line R , assume positive and negative values in R , then the equation f(x)=0 has a root in R . For example, if

JEE Advanced 2007 Functions Solution View → 21

Paragraph: If a continuous f defined on the real line R , assume positive and negative values in R , then the equation f(x)=0 has a root in R . For example, if

JEE Advanced 2007 Functions Solution View → 22

For the hyperbola x^2 ^2 - y^2 ^2 =1 , which of the following remains constant when varies?

JEE Main 2007 Hyperbola Solution View → 23

Let f(x)= x (1+x^n )^ 1 / n for n 2 and g(x)= (f f o o f) _ f occurs n times (x) . Then, x^ n-2 g(x) d x equals

JEE Advanced 2007 Indefinite Integration Solution View → 24

Let F(x) be an indefinite integral of ^2 x . Statement I The function F(x) satisfies F(x+ )=F(x) for all real x . Statement II ^2(x+ )= ^2 x for all real x .

JEE Advanced 2007 Indefinite Integration Solution View →

Other years

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