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questions
List of practice Questions
$A$
point
$R$
with
$x$
-coordinate
$4$
lies on the line segment joining the points
$P(2, -3,4)$
and
$Q(8,0,10)$
. Find the coordinates of the point
$R$
.
Mathematics
introduction to three dimensional geometry
A point
$P(\sqrt3R,0,0)$
lies on the axis of a ring of a mass 'M' and radius 'R'. The ring is located in y-z plane with its centre at origin 'O'. A small particle of mass 'm' starts from 'P' and reaches 'O' under gravitational attraction only. Its speed at 'O' will be
Physics
Gravitation
A player throws a ball vertically upwards with velocity
$u$
. At highest point,
Physics
Motion in a straight line
A point mass
$m$
is placed inside a spherical shell of radius
$R$
and mass
$M$
at a distance
$\frac{R}{2}$
from the centre of the shell. The gravitational force exerted by the shell on the point mass is
Physics
Gravitation
A plate of mass
$m$
, length
$b$
and breadth
$a$
is initially lying on a horizontal floor with length parallel to the floor and breadth perpendicular to the floor. The work done to exect it on its breadth is
Physics
work, energy and power
An anaerobic nitrogen fixing bacterium is
Biology
Nutrition
The chemical is secreted by legume root hairs to attract bacteria
Biology
Nutrition
Biological nitrogen fixation was discovered by
Biology
Nutrition
Dieback and exanthema occur in deficiency of mineral
Biology
Nutrition
Excess of manganese is toxic due to
Biology
Nutrition
Number of Biosphere Reserves of India in 2012 was
Biology
Biodiversity and Conservation
The extinction of passenger pigeon was due to
Biology
Biodiversity and Conservation
Which of the following group of plants exhibit more speices diversity ?
Biology
Biodiversity and Conservation
Which one of the following is an endangered plant species of India ?
Biology
Biodiversity and Conservation
A plant cell without cell wall is called
Biology
Strategies For Enhancement in Food Production
Great Indian Bustard is threatened species because it is
Biology
Biodiversity and Conservation
IBWL (Indian Board of Wildlife) was established in
Biology
Biodiversity and Conservation
Lion Tailed Macaque (Macaca silenus) is
Biology
Biodiversity and Conservation
A plant cell placed in pure water will
Biology
Transport in Plants
A plane progressive wave has frequency 25 Hz and amplitude
$2.5\times10^{-5}m$
and initial phase zero propagates along the negative x- direction with a velocity of 300 m/s. The phase difference between the oscillations at two points 6m apart along the line of propagation is
Physics
Waves
A plane progressive wave is given by y= 2 cos 6.284(330 t - x). What is period of the wave?
Physics
Electromagnetic waves
A plane starts from rest with acceleration of
$3\,ms^{-2}$
and makes a run for
$35\, s$
before taking off. The minimum length of runway and velocity of plane at take off are respectively
Physics
Motion in a straight line
A plant bearing unisexual as well as bisexual flowers is
Biology
morphology of flowering plants
$A$
plane is parallel to
$yz$
-plane so it is perpendicular to
Mathematics
introduction to three dimensional geometry
A plane meets the coordinate axes in points A, B, C and the centroid of the triangle ABC is
$(\alpha, \beta, \gamma)$
. The equation of the plane is
Mathematics
Three Dimensional Geometry
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