Recent questions in Mathematics

Find the value of $\lambda$ such that $\Delta =0$ for the equation $x^2+y^2-3x+2y+\lambda=0$

asked Feb 5, 2014 by sreemathi.v

1 answer

Find the equation of normal for the parabola $y^2=4ax$ in parametric form

asked Feb 5, 2014 by sreemathi.v

1 answer

Find the equation of tangent at $(x_1,y_1)$ for the parabola $y^2=4ax$ ?

asked Feb 5, 2014 by sreemathi.v

1 answer

Equation of normal for the parabola $y^2=4ax$ at point $(x_1,y_1)$ is

asked Feb 5, 2014 by sreemathi.v

1 answer

The graph of the function $y=f(x)$ passing through the point $(0,1)$ and satisfy the differential equation $\large\frac{dy}{dx}$ $+y \cos x =\cos x$ is such that

asked Feb 5, 2014 by meena.p

1 answer

Find the coordinate of double ordinate of parabola $y^2=4ax$ ?

asked Feb 5, 2014 by sreemathi.v

1 answer

Which one of the following curves represents the solution of the initial value problem $y= D(e^x-1)$ where $D= \large\frac{dy}{dx}$ and $y(0)=50$

asked Feb 5, 2014 by meena.p

1 answer

Find the equation of parabola whose focus (-4,0) & vertex (0,0)?

asked Feb 5, 2014 by sreemathi.v

1 answer

Find the tangent at the parametric coordinate of parabola $y^2=4ax$ ?

asked Feb 5, 2014 by sreemathi.v

1 answer

Find the vertex of parabola $x^2+4x+4-y=0$

asked Feb 5, 2014 by sreemathi.v

1 answer

The general solution of the differential equation $\large\frac{dy}{dx}=\frac{-y}{x}$ is a family of curves which looks most like which of the following

asked Feb 5, 2014 by meena.p

1 answer

Find the axis,vertex,focus & equation of directrix for the parabola $y^2=4ax$ ?

asked Feb 5, 2014 by sreemathi.v

1 answer

A straight line drawn perpendicular to the axis and terminated at both end of the curve is a _________________ of the parabola.

asked Feb 5, 2014 by sreemathi.v

1 answer

What is the conic represent $x^2+2x+y+1=0$

asked Feb 5, 2014 by sreemathi.v

1 answer

For the equation $ax^2+2hxy+by^2+2gx+2fy+c=0$ to be parabola what should be the conditions?

asked Feb 5, 2014 by sreemathi.v

1 answer

e(ecentricity)=__________ for parabola.

asked Feb 5, 2014 by sreemathi.v

1 answer

Find the equation of straight line which passes through the intersection of the lines $3x-4y+1=0$ and $5x+y-1=0$ and $(2,1)$ ?

asked Feb 5, 2014 by sreemathi.v

1 answer

The general solution of the differential equation $\large\frac{dy}{dx}=\frac{1-x}{y}$ is a family of curves which looks most like which of the following?

asked Feb 5, 2014 by meena.p

1 answer

Find the area of rhombus formed by the lines $x\pm y\pm 1=0$ ?

asked Feb 5, 2014 by sreemathi.v

2 answers

Find the separate equations of the lines represented by the equation $x^2-6xy+8y^2=0$ ?

asked Feb 5, 2014 by sreemathi.v

1 answer

General solution of differential equation $\large\frac{dy}{dx}=\frac{x}{2a}$

asked Feb 5, 2014 by meena.p

1 answer

Find the image of the point $(2,2)$ with respect to the line $x+y+2=0$ .

asked Feb 5, 2014 by sreemathi.v

1 answer

The general solution of the given below differential equation is a family of curve where $4a$ is length of the latus rectum which looks $y \large\frac{dy}{dx}$ $=2a$

asked Feb 5, 2014 by meena.p

1 answer

Find the coordinates of foot of the perpendicular drawn from the point (2,3) to the line $x+y+1=0$ .

asked Feb 5, 2014 by sreemathi.v

1 answer

Find the orthocentre of $\Delta ABC$ whose vertices are $A(0,1),B(-1,0),C(1,0)$ .

asked Feb 5, 2014 by sreemathi.v

1 answer

The extremities of the diagonal of a square are (1,1) & (-1,-1).Obtain two vertices and equation of diagonal.

asked Feb 5, 2014 by sreemathi.v

1 answer

The differential equation for the family of curves $x^2+y^2-2ay=0$ where a is an arbitary constant is given $y'= \large\frac{dy}{dx}$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $r \sin \theta\; d\theta +(r^3 -2 r^2 \cos \theta +\cos \theta)dr=0$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $\large\frac{dy}{dx}$ $=xe^{y-x^2}$

asked Feb 4, 2014 by meena.p

1 answer

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

asked Feb 4, 2014 by meena.p

1 answer

General solution of equations : $\large\frac{dy}{dx}$ $+py=0$

asked Feb 4, 2014 by meena.p

1 answer

Find the equation of a straight line on which the perpendicular from the origin makes an angle of $45^{\large\circ}$ with x-axis and which forms a triangle of area 18 sq.units with the coordinate axes

asked Feb 4, 2014 by sreemathi.v

1 answer

General solution of differential equation: $\large\frac{dy}{dx}=\frac{y+x-2}{y-x-4}$

asked Feb 4, 2014 by meena.p

1 answer

Find acute as well as obtuse angular bisectors of the lines $x+3y+1=0$ & $2x+5y+2=0$ .

asked Feb 4, 2014 by sreemathi.v

1 answer

Solution of differential equation : $y(2xy+e^x)dx=e^xdy$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $\large\frac{dy}{dx} =\frac{2x+3y+6}{4x+6y+7}$

asked Feb 4, 2014 by meena.p

1 answer

A vertex of an equilateral triangle is (1,1) and the opposite side is $x+y+1=0$ .Find the equations of other sides?

asked Feb 4, 2014 by sreemathi.v

1 answer

Solution of differential equation : $\large\frac{dx}{dy}=\frac{y+x-2}{y+x+4}$

asked Feb 4, 2014 by meena.p

1 answer

If p is the length of the perpendicular from the origin to the line $\large\frac{x}{a}+\frac{y}{6}$ $=1$ then $\large\frac{1}{a^2}+\frac{1}{b^2}$ =?

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the joint equation of lines $x+y+1=0$ & $x+y-1=0$

asked Feb 4, 2014 by sreemathi.v

1 answer

Find a point such that it divides the line joining the points A(1,1) & B(3,3) in 2 : 3 ratio?

asked Feb 4, 2014 by sreemathi.v

1 answer

General solution of differential equation: $\large\frac{dy}{dx}$ $+x \sin 2y=x^3 \cos ^2 y$

asked Feb 4, 2014 by meena.p

1 answer

If $ax+y-1=0$ , $x+ay=0,x+y+a=0$ are concurrent then the value of $a^3-1$ is

asked Feb 4, 2014 by sreemathi.v

1 answer

If the points (1,1) and (3,5) were to be on the opposite side of the line $3x-5y+a=0$ .Find the value of a?

asked Feb 4, 2014 by sreemathi.v

1 answer

General solution of differential equation: $x \large\frac{dy}{dx}$ $+y=x^3 y^6$

asked Feb 4, 2014 by meena.p

1 answer

$A(1,2)$ & $B(7,6)$ are the two opposite points of straight line (i.e) these two points are on opposite side of a straight line then find a equation of straight line which is equidistant from these two points and also AB is perpendicular to the straight line.

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the vertices of the square if one of its vertices is (1,1) and the square passes through origin?

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the equation of line parallel to $3x-4y+2=0$ and at a distance 2 from it?

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the equation of the line through (1,2) so that the segment of line intercepted between the axes is bisected at this point?

asked Feb 4, 2014 by sreemathi.v

1 answer

The vertices of a triangle are $A(10,4),B(-4,9)$ and $C(-2,-1)$ .Find the equation of the altitude through A?

asked Feb 4, 2014 by sreemathi.v

1 answer

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