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SRMJEEE
List of top Questions asked in SRMJEEE
If the number of terms in,
\((x+1+\frac{1}{x})^n,nεN\)
is 301, then n is greater than
SRMJEEE - 2018
SRMJEEE
Mathematics
Exponents
The sum of the 25
th
and 76
th
terms of an AP is 101; the sum of the first 100 terms of the AP is
SRMJEEE - 2018
SRMJEEE
Mathematics
Arithmetic Progression
In a triangle the angle are in A.P and the lengths of the larger sides are 10 and 9 respectively then the length of the third side can be
SRMJEEE - 2018
SRMJEEE
Mathematics
Arithmetic Progression
Application of bioinformatics include?
SRMJEEE - 2018
SRMJEEE
Biology
Biotechnology
The distance between the two lines represented by the equation 9x
2
+ 24xy + 16y
2
-12x + 16y -12 =0 is
SRMJEEE - 2018
SRMJEEE
Mathematics
Geometry
If A, B are two mutually exclusive events, then
SRMJEEE - 2018
SRMJEEE
Mathematics
Probability
A tetrahedron has vertices at 0(0,0,0), A(1,2,1), B(2,1,3) and C(-1,1,2) then the angle between the faces 0AB and ABC will be
SRMJEEE - 2018
SRMJEEE
Mathematics
Vectors
If the sum of the slopes of the lines given by x
2
- 2cxy - 7y
2
= 0 is four times product, then c=
SRMJEEE - 2018
SRMJEEE
Mathematics
Quadratic Equations
The locus of the centre of a circle which touches externally the circle x
2
+ y
2
- 6x - 6y + 14 = 0 and also touches the y-axis is given by the equation
SRMJEEE - 2018
SRMJEEE
Mathematics
Tangents and Normals
Let A(2, -3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line
SRMJEEE - 2018
SRMJEEE
Mathematics
Triangles
Let
and
be three vectors. A vector in the plane of b and c whose projection on a is
\(\sqrt{\frac{2}{3}}\)
will be
SRMJEEE - 2018
SRMJEEE
Mathematics
Vectors
I=
\(∫^{\frac{π}{3}} _{\frac{π}{6} }\frac{dx}{1+√cot x}\)
, then I=
SRMJEEE - 2018
SRMJEEE
Mathematics
Some Properties of Definite Integrals
The equation of the tangent to the circle x
2
+ y
2
= 25 at (4,3) is
SRMJEEE - 2018
SRMJEEE
Mathematics
Tangents and Normals
\(∫\frac{sin\,x}{cos^2x}dx\)
SRMJEEE - 2018
SRMJEEE
Mathematics
Differential Calculus
The area of the region b'dd by the line y=x-5 and the x axis between the ordinates x=3 and x=7
SRMJEEE - 2018
SRMJEEE
Mathematics
Some Properties of Definite Integrals
if ∫f(x)dx=f(x), then ∫{f(x)}
2
dx is equal to
SRMJEEE - 2018
SRMJEEE
Mathematics
Methods of Integration
If S = t
3
- 4t
2
+ 100 then the velocity when the accelaration is Zero is
SRMJEEE - 2018
SRMJEEE
Mathematics
Functions
the equation of the chord of contact of tangents from (2,1) to the hyperbola
\(\frac{x^2}{16}-\frac{y^2}{9}=1\)
is
SRMJEEE - 2018
SRMJEEE
Mathematics
Tangents and Normals
The number of 4 digit numbers that can formed by using the digits 1,2,3,4,5,6,7,8 and 9 such that the least digit used is 4,when repetition of digits is allowed
SRMJEEE - 2018
SRMJEEE
Mathematics
permutations and combinations
Suppose the function f(x)-f(2x) has the derivative 5 at x=1 and derivative 7 at x=2.The derivative of the function f(x)-f(4x) at x=1 has the value equal to
SRMJEEE - 2018
SRMJEEE
Mathematics
Relations and functions
if
\(x=\frac{3at}{(a+t^3)},y=\frac{3at^2}{(1+t^3)}, then \frac{dy}{dx }at \,\,t=\frac{1}{2}\)
is
SRMJEEE - 2018
SRMJEEE
Mathematics
Differential Calculus
In how many ways can 6 boys and 4 girls sit in a row?
SRMJEEE - 2018
SRMJEEE
Mathematics
permutations and combinations
Let f : R→R, g : R→R be two given functions. Such that f is injective and g is surjective, then which of the following is injective?
SRMJEEE - 2018
SRMJEEE
Mathematics
Relations and functions
The order of the differential equation
\(2x^2 \frac{d^2y}{dx^2}-3 \frac{dy}{dx}+y=0\)
SRMJEEE - 2018
SRMJEEE
Mathematics
Differential equations
The product of the real roots of the equation |2x + 3|
2
- 3 |2x + 3| + 2 = 0 is
SRMJEEE - 2018
SRMJEEE
Mathematics
Quadratic Equations
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