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SRMJEEE
List of top Questions asked in SRMJEEE
Equation of the parabola whose vertex and focus lie on the axis of x at distances a and a
1
from the origin respectively is
SRMJEEE - 2017
SRMJEEE
Mathematics
Parabola
If x = -2 + 3 cosθ ; y = 1 + 3 sinθ then the locus of the point (x,y) is a circle with
SRMJEEE - 2017
SRMJEEE
Mathematics
circle
If one of the lines ax
2
+2hxy+by
2
=0 bisects the angle between positive directions of the axes then a,h,b satisfy the relation
SRMJEEE - 2017
SRMJEEE
Mathematics
Angle between a Line and a Plane
A unit vector coplanar with
\(\overrightarrow{i}+\overrightarrow{j}+2\overrightarrow{k}\)
and
\(\overrightarrow{i}+2\overrightarrow{j}+\overrightarrow{k}\)
and perpendicular to
\(\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}\)
is
SRMJEEE - 2017
SRMJEEE
Mathematics
Addition of Vectors
If angle between
\(\overrightarrow{i}-2\overrightarrow{j}+3\overrightarrow{k}\)
and
\(2\overrightarrow{i}+\overrightarrow{j}+3\overrightarrow{k}\)
is
\(\theta\)
then
\(\sin\theta\)
is equal to
SRMJEEE - 2017
SRMJEEE
Mathematics
Vector Algebra
The set of points, where
\(f(x)=\frac{x}{1+|x|}\)
is differentiable, is:
SRMJEEE - 2017
SRMJEEE
Mathematics
sets
The angle of intersection of the curves y=x
3
and 6y=7-x
2
at (1,1) is
SRMJEEE - 2017
SRMJEEE
Mathematics
Curves
If [x] is the greatest integer function then
\(\int^{2}_{-2}[x]^3dx=\)
_____
SRMJEEE - 2017
SRMJEEE
Mathematics
integral
Let f(2a - x) = -f(x). then
\(\int\limits^{2a}_{0}f(x)dx=\)
SRMJEEE - 2017
SRMJEEE
Mathematics
integral
The are bounded by y = x - 1 and y = 3 - x is
SRMJEEE - 2017
SRMJEEE
Mathematics
Area under Simple Curves
The P.I of (D
2
+4) y = sin h2x is
SRMJEEE - 2017
SRMJEEE
Mathematics
Trigonometry
Which of the following is not elementory transformation?
SRMJEEE - 2017
SRMJEEE
Mathematics
Exponential and Logarithmic Functions
How many different signals can be given by using any number of flags from six flags of different colors?
SRMJEEE - 2017
SRMJEEE
Mathematics
Probability
If ∀n∈N, Let p(n) = 1 + 3 + 5 +....+(2n-1) = 3 + n2 then which of the following is true?
SRMJEEE - 2017
SRMJEEE
Mathematics
sets
The following graph gives the functional relationship between distance and time of a moving car in m/sec. The speed of the car is
SRMJEEE - 2017
SRMJEEE
Mathematics
distance and displacement
\(\lim_{x\rightarrow\infin}(\cosec x-\frac{1}{x})=\)
SRMJEEE - 2017
SRMJEEE
Mathematics
limits and derivatives
If A and B are two sets such that n(A∪B) =36, n(A∩B)=16 and n(A-B)=15, then n(B) is equal to
SRMJEEE - 2017
SRMJEEE
Mathematics
sets
If every pair from among the equations x
2
+px+qr=0, x
2
+qx+rp=0 and x
2
+rx+pq=0 has a common root then the product of three common roots is
SRMJEEE - 2017
SRMJEEE
Mathematics
Complex Numbers and Quadratic Equations
If z and
\(\omega\)
are non-zero complex numbers such that
\(|z\omega|=1\)
and
\(arg(z)-arg(\omega)=\frac{\pi}{2}\)
, then
\(\bar{z}\omega\)
is equal to
SRMJEEE - 2017
SRMJEEE
Mathematics
Complex Numbers and Quadratic Equations
If
\(\left[\frac{\frac{\sqrt 3}{2}+(\frac{1}{2})i}{\frac{\sqrt 3}{2}-(\frac{1}{2})i}\right]^{120}=p+iq\)
, then
SRMJEEE - 2017
SRMJEEE
Mathematics
Trigonometry
If
\(A=\begin{pmatrix}1&1\\1&1 \end{pmatrix}\)
and
\(n\epsilon N\)
then A
n
is equal to
SRMJEEE - 2017
SRMJEEE
Mathematics
sets
If a, b,c are sides of a triangle and
\(\begin{vmatrix} a^2&b^2&c^2\\(a+1)^2&(b+1)^2&(c+1)^2 \\ (a-1)^2&(b-1)^2&(c-1)^2\end{vmatrix}=0\)
then
\(\triangle ABC\)
is
SRMJEEE - 2017
SRMJEEE
Mathematics
Matrices
Gabneil's pthalimide reaction is used for the synthesis of
SRMJEEE - 2017
SRMJEEE
Chemistry
Aromatic Hydrocarbon
RMgX + CN Cl → X.X is
SRMJEEE - 2017
SRMJEEE
Chemistry
Aromatic Hydrocarbon
Butadiene and styrene undergoes joint polymerization to form
SRMJEEE - 2017
SRMJEEE
Chemistry
Types of Polymerisation Reactions
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