Toolbox:Length of the latus rectum of a hyperbola is $\large\frac{2a^2}{b^2}$$a^2=b^2(e^2-1)$Answer ...

Toolbox:In an ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ if $a< b$,$e$ is the eccentrici...

Toolbox:Length of the latus rectum of an ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ when $a...

Toolbox:For an ellipse the ratio $\large\frac{SP}{PM}$$=e$ where $e < 1$ and $S(ae,0)$ is the foc...

Toolbox:General equation of a parabola whose vertex is $(h,k)$ is $(y-k)^2=4a(x-h)$Given the vertex ...

Toolbox:If the equation of the parabola is $y^2=4ax$ ,then the length of the latus rectum is $2a$Ans...

Toolbox:Equation of a parabola which is open downwards is given by $x^2=-4ay$ where $a$ is the focus...

Toolbox:Equation of a circle passing through the origin is $x^2+y^2=a^2$Answer : $x^2+y^2=4a^2$If th...

Toolbox:General equation of a parabola whose centre is on the $y$ axis is $(x-0)^2+(y-k)^2=k^2$ (ie)...

Toolbox:General equation of the circle whose centre is $(h,k)$ is $(x-h)^2+(y-k)^2=a^2$If the circle...

Toolbox:General equation of a circle with centre $(h,k)$ is $(x-h)^2+(y-k)^2=a^2$Answer : $25\pi$The...

Toolbox:General equation of a hyperbola with its vertices on $y$ axis is $\large\frac{x^2}{a^2}-\fra...

Toolbox:For a parabola $\large\frac{SP}{PM}$$=e=1$ where $P(x,y)$ is the moving point,$S$ is the foc...

Toolbox:General equation of an ellipse whose axis is along the minor axis $\large\frac{x^2}{a^2}+\fr...

Toolbox:General equation of an ellipse about the major axis is given by $\large\frac{x^2}{a^2}+\frac...

Toolbox:General equation of a circle with centre $(g,f)$ is $x^2+y^2+2gx+2fy+c=0$Answer : $x^2+y^2+...

Toolbox:General equation of a circle having centre $(h,k)$ is $(x-h)^2+(y-k)^2=r^2$ where $r$ is the...

Toolbox:General equation of a hyperbola whose foci lie on $x$-axis is $\large\frac{x^2}{a^2}-\frac{y...

Toolbox:Condition for a line $y=mx+c$ to be a tangent to an ellipse is $c=\sqrt{b^2+a^2m^2}$Answer :...

Toolbox:In an ellipse sum of the focal distances from the moving point $P$ is $2b$,where $b$ is the ...

Toolbox:The condition for a line $y=mx+c$ to be a tangent to the parabola is $c=\large\frac{a}{m}$ w...

Toolbox:If the distance between the centre and a point $P(x,y)$ is < 0 then the point lies inside...

Toolbox:If a line $y=mx+c$ is a tangent to a circle,then the distance from the centre of the circle ...

Toolbox:The shortest distance is equal to the distance is equal to the difference of the radius and ...

Toolbox:The centre of the circle whose general equation is $x^2+y^2+2gx+2fy+c=0$ is $(-g,-f)$Answer ...

Toolbox:If the vertices of the hyperbola lie on the $y$-axis,then the equation of the hyperbola is $...

Toolbox:If the vertices lie on the $y$ axis then the equation of the hyperbola is $\large\frac{x^2}{...

Toolbox:General equation of a hyperbola is $\large\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}$$=1$Answer...

Toolbox:Distance between two points $A(x_1,y_1)$ and $B(x_2,y_2)$ is $AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)...

Toolbox:Distance between two points $A(x_1,y_1)$ and $B(x_2,y_2)$ is $AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)...

Toolbox:Distance between two points $A(x_1,y_1)$ and $B(x_2,y_2)$ is $AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)...

Toolbox:For a parabola the eccentricity $e=1$.Hence $SP=PM$,where $S(a,0)$ is the focus $P(x,y)$ is ...

Toolbox:If a parabola is open downwards,then the general equation is $(x-h)^2=-4a(y-k)$ where $(h,k)...

Toolbox:For a parabola the eccentricity $e=1$.Hence $SP=PM$,where $S(a,0)$ is the focus $P(x,y)$ is ...

Toolbox:General equation of a circle is $(x-g)^2+(y-f)^2=r^2$ where $g$ and $f$ are the coordinates ...

Toolbox:General equation of a circle is $x^2+y^2+2gx+2fy+c=0$ where $g$ and $f$ are the coordinates ...

Toolbox:General equation of the circle is $(x-h)^2+(y-k)^2=r^2$ where $h$ and $k$ are the coordinat...

Toolbox:General equation of the circle is x2+y2+2gx+2fy+c=0" role="presentation" style="position: re...

Toolbox:General equation of a circle is $x^2+y^2=a^2$ when the centre of the circle is $(0,0)$.Gener...

Toolbox:General equation of a hyperbola is $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$Eccentricity $...

Toolbox:General equation of a hyperbola is $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$Eccentricity $...

Toolbox:General equation of a hyperbola is $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$Eccentricity $...

Toolbox:The condition for a line $y=mx+c$ to be a tangent to a parabola $y^2=4ax$ is $c=\large\frac{...

Toolbox:General equation of the parabola whose vertex are $(h,k)$ and open downward is $(x-h)^2=-4a(...

Toolbox:General equation of a parabola which is open rightwards is $y^2=4ax$ where $a$ is the focus ...

Toolbox:The coordinates of the parabola which is open rightward and then equation $y^2=4ax$ is $(a,0...

Toolbox:Distance between the directrices is $\large\frac{a}{e}$Eccentricity =$\large\frac{\sqrt{a^2-...

Toolbox:Standard equation of an ellipse is $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ where the maj...

Toolbox:General equation of an ellipse is $\large\frac{x^2}{a^2}$$+\large\frac{y^2}{b^2}$$=1$$e$ is ...

Toolbox:General equation of an ellipse is $\large\frac{x^2}{a^2}$$+\large\frac{y^2}{b^2}$$=1$$e$ is ...