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SRMJEEE
List of top Questions asked in SRMJEEE
Floral characters such as single whorl of perianth or no perianth and unisexual flowers pollinated by wind were considered as primitive characters in _______________ system of classification
SRMJEEE - 2019
SRMJEEE
Biology
Plant taxonomy
The equation of the second degree x
2
+2√2xy+2y
2
+4x+4√2y+1=0 represents a pair of straight lines, the distance between them is
SRMJEEE - 2019
SRMJEEE
Mathematics
Straight lines
If the circles x
2
+ y
2
+ 2x + 2ky + 6 = 0, x
2
+ y
2
+ 2ky + k = 0 intersect orthogonally, then k is
SRMJEEE - 2019
SRMJEEE
Mathematics
circle
Consider points A,B,C and D with position vectors
\(7\vec{i}-4\vec{j}+7\vec{k}, \vec{i}-6\vec{j}+10\vec{k}, -\vec{i}-3\vec{j}+4\vec{k}\)
and
\(5\vec{i}-\vec{j}+5\vec{k}\)
respectively, then ABCD is a
SRMJEEE - 2019
SRMJEEE
Mathematics
Vector Algebra
The centre and radius of the sphere
\(|2\vec{r}=(J\vec{i}-\vec{j}+4\vec{k})|=4\)
are __________
SRMJEEE - 2019
SRMJEEE
Mathematics
Vector Algebra
The coefficient of skewnes of a distribution is 0.32. If its standard deviation is 6.5 and mean is 29.6, then the mode of the distribution is given by
SRMJEEE - 2019
SRMJEEE
Mathematics
Mean, median, mode and standard deviation
A box contains 5 red and 4 white balls. Two balls are drawn successively from the box without replacement and it is noted that the second one is white. Then the probability that the first one is white is
SRMJEEE - 2019
SRMJEEE
Mathematics
Probability
If a,b,c are in AP, then a
3
+c
3
-8b
3
is equal to
SRMJEEE - 2019
SRMJEEE
Mathematics
Arithmetic Progression
In a G.P if the (m+n)
th
term is p and (m-n)
th
term is q then its m
th
term is
SRMJEEE - 2019
SRMJEEE
Mathematics
Geometric Progression
\(\displaystyle\int\frac{dx}{cosx-sinx}\)
is equal to
SRMJEEE - 2019
SRMJEEE
Mathematics
integral
\(\int \sec xdx\)
is
SRMJEEE - 2019
SRMJEEE
Mathematics
integral
The value of the integral
\(\int\limits^6_3\frac{\sqrt{x}}{\sqrt{9-x}+\sqrt x}dx\)
is
SRMJEEE - 2019
SRMJEEE
Mathematics
integral
The line 4x+6y+9=0 touches y
2
=4x at the point
SRMJEEE - 2019
SRMJEEE
Mathematics
general equation of a line
The circles x
2
+ y
2
- 4x - 6y - 12 = 0 and x
2
+ y
2
+ 6x - 8y + 21 = 0
SRMJEEE - 2019
SRMJEEE
Mathematics
circle
ABCD is a square A = (1,2), B = (3,-4). If line CD passes through (3,8) then midpoint of CD is
SRMJEEE - 2019
SRMJEEE
Mathematics
Geometry
The eccentricity of a circle e is
SRMJEEE - 2019
SRMJEEE
Mathematics
circle
\(\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+...+\frac{1}{(3n-1)(3n+2)}\)
is equal to
SRMJEEE - 2019
SRMJEEE
Mathematics
Algebra
How many positive integers n can be formed using the digits 3,4,4,5,5,6,7, if n has to exceed 50,00,000?
SRMJEEE - 2019
SRMJEEE
Mathematics
Integers
Let
\(f:R\rightarrow R\)
be defined by
\(f(x) = \begin{cases} k-2x,x\le-1\\ 2x+3,x\gt-1 \end{cases}\)
. If f(x) has a local minimum at x=- 1, then a possible value of k is
SRMJEEE - 2019
SRMJEEE
Mathematics
Functions
\(lt_{x\rightarrow\infin}(\frac{x^2+5x+3}{x^2+x+3})^{\frac{1}{3}}\)
is
SRMJEEE - 2019
SRMJEEE
Mathematics
limits and derivatives
Find
\(Lt_{x\rightarrow\infin}(\frac{x}{2+x})^{2x}\)
SRMJEEE - 2019
SRMJEEE
Mathematics
limits and derivatives
A missile fired from ground level rises x metres vertically upwards in 't' seconds and x = t( 100-12.5t). Then the maximum height reached by the missile is
SRMJEEE - 2019
SRMJEEE
Mathematics
Trigonometry
If
\(f(x) = \begin{cases} 1 + x & \text{if } 0 \leq x \leq 2 \\ 3 - x & \text{if } 2 < x \leq 3 \end{cases}\)
, then
\(f[f(x)]\)
is
SRMJEEE - 2019
SRMJEEE
Mathematics
Functions
The points representing the complex numbers Z for which |Z + 4|
2
- |Z - 4|
2
= 8 lie on
SRMJEEE - 2019
SRMJEEE
Mathematics
Straight lines
If
\(i=\sqrt{-1}\)
, then
\(4+5(\frac{-1}{2}+\frac{i\sqrt3}{2})^{334}+3(\frac{-1}{2}+\frac{i\sqrt3}{2})^{265}\)
is equal to
SRMJEEE - 2019
SRMJEEE
Mathematics
Trigonometry
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