Recent questions in Mathematics

Find the solution : $\large\frac{\sqrt x -2}{\sqrt y -1}$$dy =\large\frac{\sqrt y+1}{\sqrt x +2}$$dx$

asked Feb 6, 2014 by meena.p

1 answer

Find the vertex and focus of the parabola $\large\frac{x^2}{64}+\frac{y^2}{100}$=1.

asked Feb 6, 2014 by sreemathi.v

1 answer

Solve : $\large\frac{dy}{dx}$$=\sqrt {16 x^2 y -4x^2 y^2}\qquad y(2)=1$

asked Feb 6, 2014 by meena.p

1 answer

Find the position of the point (1,1) relative to the ellipse $\large\frac{x^2}{64}+\frac{y^2}{100}$=1.

asked Feb 6, 2014 by sreemathi.v

1 answer

Solve : $(x^2+1) dy =(4x+xy^2)dx$

asked Feb 6, 2014 by meena.p

1 answer

Solve : $e^x y dx=(e^{2x}+1) dy \quad y \cos =1$

asked Feb 6, 2014 by meena.p

1 answer

Find the eccentricity of ellipse $\large\frac{x^2}{64}+\frac{y^2}{100}=1$?

asked Feb 6, 2014 by sreemathi.v

1 answer

$y=e^{(t+2)x}$ is a solution of equation $\large\frac{d^2y}{dx^2}-\frac{4dy}{dx}$$+4y=0$ then t equals

asked Feb 6, 2014 by meena.p

1 answer

Name the axes are their in the ellipse

asked Feb 6, 2014 by sreemathi.v

1 answer

Find solution : $\large\frac{dy}{dx} $$= 1+ \sqrt {y-x+3}$

asked Feb 6, 2014 by meena.p

1 answer

A ellipse is the locus of a point which moves in a plane such that its distance from a fixed point (i.e focus) is a constant ratio from a _____________

asked Feb 6, 2014 by sreemathi.v

1 answer

Find solution : $\large\frac{dy}{dx}$$=y (x^2y^2-1)$

asked Feb 6, 2014 by meena.p

1 answer

Find the length of tangent,subtangent,normal and subnormal to $y^2=4ax$ at $(at^2,2at)$

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the solution : $ x^2y'=1-xy$

asked Feb 6, 2014 by meena.p

1 answer

Find the solution : $-x dy +(y+\sqrt {xy})dx=0$

asked Feb 6, 2014 by meena.p

1 answer

Determine functions $y= 2e^{-x}+ 3e^{2x}$ is solution to which of following differential equation

asked Feb 6, 2014 by meena.p

1 answer

If the normal to a parabola $y^2=4ax$ make an angle $\theta$ with the axis and $\phi$ is the angle it makes when it cut the parabola again find the relation between $\theta$ & $\phi$?

asked Feb 6, 2014 by sreemathi.v

1 answer

Solve : $ y dx +x dy +\sin y \cos ^2 (xy) dy+e^x \cos^2 (xy) dx=0$

asked Feb 6, 2014 by meena.p

1 answer

Find curve in $x-y$ plane which passes through$(1,1)$ . Intersects line $y=x$ at right angle at that point and satisfies $xy''+2y''=0$

asked Feb 6, 2014 by meena.p

1 answer

Find the vertex,lactus rectum,axis and the directix of the parabola $(y-2)^2=4(x-1)$?

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the curve $y= f(x) $ through the origin for which $y''=y'$ and tangent at origin is $y=x$

asked Feb 6, 2014 by meena.p

1 answer

Find all curves in x-y plane such that tangent at each point (x,y) of curves intersects the x-axis at $(x-1,0)$

asked Feb 6, 2014 by meena.p

1 answer

Find all curves in x-y plane such that tangent at each point (x,y) of curves intersects the x-axis at $(x-1,0)$

asked Feb 6, 2014 by meena.p

0 answers

Find the area of triangle inscribed in the parabola $y^2=4ax$ with vertices $(x_1,y_1),(x_2,y_2)$ & $(x_3,y_3)$?

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the centroid of the triangle formed by the feet of the three normal lies on the axis of parabola?

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the equation of tangent to the parabola $(y-6)^2=4a(x-p)$ at $(at^2,2at)$?

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the locus of the points of intersection of the mutually perpendicular tangents to a parabola?

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the equation of parabola whose vertex is (4,2) and focus is (6,2)?

asked Feb 6, 2014 by sreemathi.v

1 answer

The initial value problem governing the current i following in an RL circuit when a step voltage of magnitude $\in$ is applied to circuit at $t=0$ is given by (R, L, t are constants ) $iR= \large\frac{Ldi}{dt} $$=\in, t > 0, i(0)=0$ Determine limiting value of i as $t \to \infty$

asked Feb 6, 2014 by meena.p

1 answer

Find the length of lactus Rectum for the parabola $y^2=4ax$?

asked Feb 6, 2014 by sreemathi.v

1 answer

A ratio active substance dis integrals at a rate proportional to amount of substance present. $50 \%$ of amount disintegrates in $1000$ years. Approximately what $\%$ of substance will disintegrate in $50$ years ?

asked Feb 6, 2014 by meena.p

1 answer

Find the area of triangle by tangents at the point $P(at_1^2,2at_1)$ & $Q(at_2^2,2at_2)$ for the parabola $y^2=4ax$ .

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the point of intersection of tangents at any two points on the parabola $y^2=4ax$?

asked Feb 6, 2014 by sreemathi.v

1 answer

A drop of liquid evaporates at a rate proportional to its area of surface. If the radius initially is $4\;mm$ and $5$ minutes later, the radius is reduced to $2\; mm$, find radius of drop as a function of time ?

asked Feb 6, 2014 by meena.p

1 answer

Find the point of intersection of normals at any two points on the parabola $y^2=4ax$

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the relation between $'t_1'$ meets the parabola again at $'t_2'$ for the parabola $y^2=4ax$?

asked Feb 6, 2014 by sreemathi.v

1 answer

Show that normal to the parabola $y^2=4x$ at the point (1,2) meet it again at some point of parabola, find the point?

asked Feb 6, 2014 by sreemathi.v

1 answer

Observation show that rate of change of atmosphere pressure P with attitude h is proportional to pressure. Assume that pressure at 6000 meter is half of its value $P_0$ at sea level, find formula for pressure at any height.

asked Feb 6, 2014 by meena.p

1 answer

The growth rates of a bacteria population is proportional to its size. Initially the population is $10,000$ while after 10 days its size is $25,000$ . What will be population after 20 days?

asked Feb 6, 2014 by meena.p

1 answer

find value of $K_1$ and $K_2$ for which $y= \large\frac{x}{K_1} $$+K_2$ is a solution of differential equation $y''-2y' -3y=x$

asked Feb 6, 2014 by meena.p

1 answer

The degree and order of differential equation of family of parabolas whose length of latus rectum is fixed and axis is x-axis ,are respectively

asked Feb 5, 2014 by meena.p

1 answer

Find the solution : $y (\log x-1) y dx=x dy $

asked Feb 5, 2014 by meena.p

1 answer

Solve and get solutions : $ \bigg( x +y \large\frac{dy}{dx}\bigg)=\bigg( y -x \large\frac{dy}{dx}\bigg) \bigg(x^4+\large\frac{y^6}{x^2}$$+3 (x^2y^2+y^4)\bigg)$

asked Feb 5, 2014 by meena.p

1 answer

Solution of differential equation $\large\frac{dy}{dx} +\frac{y}{x}$$=x^3 y^5$ is which of the following?

asked Feb 5, 2014 by meena.p

1 answer

Find the conditions for a co-normal point (h,k) of a parabola $y^2=4ax$

asked Feb 5, 2014 by sreemathi.v

1 answer

The solution of differential equation $(x^2-1) \large\frac{dy}{dx}$$+2xy =\large\frac{1}{x^2-1}$

asked Feb 5, 2014 by meena.p

1 answer

Find the equation of common tangent to the parabola $y^2=4x$ and $x^2=4y$?

asked Feb 5, 2014 by sreemathi.v

1 answer

Which of the following equation is linear ?

asked Feb 5, 2014 by meena.p

1 answer

Find the area of $\Delta ABC$ where AC is focal chord of the parabola $y^2=4ax$ & B is the vertex of parabola $y^2=4ax$?

asked Feb 5, 2014 by sreemathi.v

1 answer

Find the equation of straight line touching both $x^2+y^2=2$ and $y^2=8x$.

asked Feb 5, 2014 by sreemathi.v

1 answer

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