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MHT CET
List of top Questions asked in MHT CET- 2017
If the function \[ f(x) = \begin{cases} [ tan (\frac {\pi}{4}+x)]^{1/x} & \quad for\, x \neq 0\\ K \,\,\,\,\,\,\,\,\,\text{if } x =0 \end{cases} \] is continuous at
$x = 0$
, then
$K = ?$
MHT CET - 2017
MHT CET
Mathematics
Differentiability
If
$z_1$
and
$z_2$
are z co-ordinates of the points of trisection of the segment joining the points
$A(2, 1, 4), B _1 + z_2 =$
MHT CET - 2017
MHT CET
Mathematics
introduction to three dimensional geometry
The area of the region bounded by the lines
$y = 2x + 1, y = 3x + 1$
and
$x = 4$
is
MHT CET - 2017
MHT CET
Mathematics
applications of integrals
A disc of moment of inertia
$'I_1'$
is rotating in horizontal plane about an axis passing through a centre and perpendicular to its plane w ith constant angular speed
$?\omega_1'$
. Another disc of moment of inertia
$?I_2? $
having zero angular speed is placed coaxially on a rotating disc. Now both the. discs are rotating with constant angular speed
$?\Omega_2 ?$
. The energy lost by the initial rotating disc is
MHT CET - 2017
MHT CET
Physics
Moment Of Inertia
Two spherical black bodies have radii
$?r_1?$
and
$'r_2'$
. Their surface temperatures are
$'T_1'$
and
$'T_2'$
. If they radiate same power then
$\frac{r_2}{r_1}$
is
MHT CET - 2017
MHT CET
Physics
Heat Transfer
A solid sphere of mass 2 kg is rolling on a frictionless horizontal surface with velocity 6 m/s. It collides on the free end of an ideal spring whose other end is fixed. The maximum compression produced in the spring will be (Force constant of the spring = 36 N/m).
MHT CET - 2017
MHT CET
Physics
Conservation of energy
The value of $\cos^{-1} \left(\cot\left(\frac{\pi}{2}\right)\right) + \cos^{-1} \left(\sin\left(\frac{2\pi}{3}\right)\right) $ is
MHT CET - 2017
MHT CET
Mathematics
Properties of Inverse Trigonometric Functions
The point on the curve $y = \sqrt{x - 1}$ where the tangent is perpendicular to the line $2x + y - 5 = 0 $ is
MHT CET - 2017
MHT CET
Mathematics
Tangents and Normals
If $c$ denotes the contradiction then dual of the compound statement $\sim p \wedge ( q \vee c)$ is
MHT CET - 2017
MHT CET
Mathematics
mathematical reasoning
If vector $\vec{r}$ with d.c.s. $l, m, n$ is equally inclined to the co-ordinate axes, then the total number of such vectors is
MHT CET - 2017
MHT CET
Mathematics
Vector Algebra
The objective function $z = 4x_1 + 5x_2$, subject to $2x_1 + x_2 \geq 7 , 2x_1 + 3x_2 \leq 15 , x_2 \leq 3, x_1 , x_2 \geq 0 $ has minimum value at the point
MHT CET - 2017
MHT CET
Mathematics
Linear Programming Problem
The genetic material of M bacteriophage is _______
MHT CET - 2017
MHT CET
Biology
biotechnology
In some species of family Asteraceae seeds are produced without fertilization. It is called as ________
MHT CET - 2017
MHT CET
Biology
sexual reproduction in flowering plants
Antibodies are synthesized by _______
MHT CET - 2017
MHT CET
Biology
human health and disease
Which of the following is an example of intergenic gene interaction?
MHT CET - 2017
MHT CET
Biology
Principles of Inheritance and Variation
The conversion of ethyl bromide to ethyl iodide using sodium iodide and dry acetone, this reaction is known as
MHT CET - 2017
MHT CET
Chemistry
Methods of Preparation of Haloalkanes
The closed and open organ pipes have same length. When they are vibrating simultaneously in first overtone, produce three heats. The length of open pipe is made
$\frac{1}{2}^{nd}$
and closed pipe is made three times the original, the number of beats produced will be
MHT CET - 2017
MHT CET
Physics
Waves
What is the actual volume occupied by water molecules present in
$20 \, cm^3$
of water ?
MHT CET - 2017
MHT CET
Chemistry
Bohr’s Model for Hydrogen Atom
Identify the weakest oxidising agent among the following.
MHT CET - 2017
MHT CET
Chemistry
Redox reactions
The colour and magnetic nature of manganate ion $(MnO^{2-}_4)$ is
MHT CET - 2017
MHT CET
Chemistry
d block elements
Aldehydes or ketones when treated with
$\ce{C_6H_5 - NH - NH_2}$
, the product formed is
MHT CET - 2017
MHT CET
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Which among the following compounds does not act as a reducing agent ?
MHT CET - 2017
MHT CET
Chemistry
p -Block Elements
Which among the following reactions is an example of pseudo first order reaction ?
MHT CET - 2017
MHT CET
Chemistry
Chemical Kinetics
Solubility of which among the following solids in water changes slightly with temperature ?
MHT CET - 2017
MHT CET
Chemistry
Solutions
The amino acid which is basic in nature is
MHT CET - 2017
MHT CET
Chemistry
Proteins
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