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Mathematics
List of top Mathematics Questions
The integral
$\int^{\pi/2}_{0}\left|sin\,x-cos\,x\right|dx$
is equal to :
Mathematics
General and Particular Solutions of a Differential Equation
The inequalities
$ {5x + 4y \geq 20, x \leq 6, y \leq 4}$
forms
Mathematics
graphical solution of linear inequalities in two variables
The inclination of the line x - y + 3 = 0 with the positive direction of x-axis is
Mathematics
Equation of a Line in Space
The eccentricity of the ellipse
$ 25x^2 + 9y^2- 150x - 90y - 225 = 0$
is
Mathematics
Ellipse
The eccentric angle of a point on the ellipse
$\frac{x^2}{6}+\frac{y^2}{2}=1$
whose distances from the centre of the ellipse is 2, is
Mathematics
Ellipse
The domain of the function
$cos^{-1}(2x - 1)$
is
Mathematics
Inverse Trigonometric Functions
The distance of the point P(a, b, c) from the x-axis is
Mathematics
coordinates of a point in space
The distance of the midpoint of the line joining two points
$(4, 0)$
and
$(0, 4) $
from the centre of circle
$ x^2 + r^2 = 16$
is
Mathematics
Circle
The distance between the parallel lines
$9x^2 - 6xy + y^2 +18x - 6y + 8 = 0$
is
Mathematics
Horizontal and vertical lines
The direction cosines l, m, n, of one of the two lines connected by the relations
$l -5m+ 3n = 0, 7l^2 + 5m^2 -3n^2 = 0$
are
Mathematics
Plane
The direction cosines of a line passing through two points
$P(x_1, y_1, z_1)$
and
$Q(x_2, y_2, z_2)$
are
Mathematics
Plane
The differential equation of all parabolas whose axis of symmetry is along axis of
$x$
-axis is of order
Mathematics
General and Particular Solutions of a Differential Equation
The differential equation of
$y = Ae^{2x} + Be^{-2x} $
is :
Mathematics
General and Particular Solutions of a Differential Equation
The differential equation of all non-horizontal lines in a plane is
Mathematics
types of differential equations
The difference between the greatest and least value of the function,
$f(x) = \sin 2x - x$
on
$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$
is
Mathematics
Maxima and Minima
The diameter of
$16x^2 - 9y^2 = 144$
which is conjugate to
$x = 2y $
is
Mathematics
Hyperbola
The diagonal of a square is changing at the rate of
$0.5\, cm/ sec$
. Then the rate of change of area, when the area is
$400\, cm^2$
, is equal to
Mathematics
Rate of Change of Quantities
The derivative of
$cosec^{-1} \left(\frac{1}{2x\sqrt{1-x^{2}}}\right) w.r.t \sqrt{1-x^{2}}$
is
Mathematics
Differentiability
The derivative of
$\sin^{-1} x $
w.r.t
$\cos^{- 1} \sqrt{1-x^{2}} $
is
Mathematics
Differentiability
The derivative of
$\sin \, x^3 $
w.r.t.
$\cos \, x^3$
is equal to
Mathematics
Differentiability
The derivative of an even function is always
Mathematics
Derivatives
The corner points of the feasible region determined by the system of linear constraints are
$(0,0), (0,40), (20, 40), (60, 20), (60, 0)$
. The objective function is
$Z = 4x + 3y$
. Compare the quantity in Column
$A$
and Column
$B$
Mathematics
Linear Programming
The contrapositive of "if two triangles are congruent then they are similar" is
Mathematics
Statements
The contrapositive of statement 'If Chandigarh is capital of Punjab, then Chandigarh is in India' is
Mathematics
Statements
The contrapositive of the statement "If 7 is greater than 5, then 8 is greater than 6" is
Mathematics
Statements
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