Recent questions tagged coordinate-geometry-conic -sections

Find the area of equilateral triangle inscribed in the circle $x^2+y^2+2gx+2fy+c=0$?

asked Feb 11, 2014 by sreemathi.v

1 answer

Find the centre and radius of the circle $x^2+y^2-2x-4y=9$.

asked Feb 11, 2014 by sreemathi.v

1 answer

Write equation of circle whose diametrically opposite point are (1,2) & (-1,-2) is?

asked Feb 10, 2014 by sreemathi.v

1 answer

The radius of a circle with it's center at $(2,1)$ and whose one chord is the diameter of the circle $x^2+y^2-2x-6y+6=0$ is:

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the length of sub tangent and sub-normal?(for hyperbola)

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the equation of a diameter bisecting a system of parallel chords of slope m of the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$?

asked Feb 10, 2014 by sreemathi.v

1 answer

A submarine on the surface of the ocean, is on a course parallel to and 60 Km from the shore line as shown in the figure. There are two transmitters, X and Y located 200 Km from each other on the shore line. The submarine uses the signals to figure out that its 50 Km closer to station Y than to X. Find the distance between the submarine to each of the stations.

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the equation and length of common tangent to hyperbola $\large\frac{x^2}{p^2}-\frac{y^2}{q^2}$$=1$ and $\large\frac{y^2}{p^2}-\frac{x^2}{q^2}$$=1$

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the equation of an rectangular hyperbola whose centre is origin and its asymptotes coincide with the co-ordinate axes?

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the equation of asymptotes for the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$?

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the locus of intersection of two perpendicular tangent to the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$?

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the equation of chord of contact for hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$?

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the equation of normal for the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ in parametric form?

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the equation of normal to the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ at $(x_1,y_1)$ ?

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the equation of tangent for the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ in parametric form?

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the equation of tangent for the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$?

asked Feb 10, 2014 by sreemathi.v

1 answer

For the equation to represent the hyperbola $\large\frac{x^2}{9-\lambda}+\frac{y^2}{6-\lambda}$$=1$ what should be the value of $\lambda$?

asked Feb 10, 2014 by sreemathi.v

1 answer

For what value of $\lambda$ does the line $y=2x+\lambda$ touches the hyperbola $16x^2-9y^2=144$?

asked Feb 10, 2014 by sreemathi.v

1 answer

If the line $y=mx+c$ touches the hyperbola $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ then find the value of c .

asked Feb 10, 2014 by sreemathi.v

1 answer

The foci of a hyperbola coincide with the foci of the ellipse $\large\frac{x^2}{25}+\frac{y^2}{9}$$=1$.Find the equation of the hyperbola if its ecentricity is 3?

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the length of latus rectum for the hyperbola $\large\frac{x^2}{36}-\frac{y^2}{16}$$=1$?

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the general equation of rectangular hyperbola?

asked Feb 10, 2014 by sreemathi.v

1 answer

A hyperbola whose asymptotes includes a right angle is said to be

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the position of the point (2,3) relative to the hyperbola $9x^2-y^2=1$?

asked Feb 10, 2014 by sreemathi.v

1 answer

Find the value of a,b whose foci are (6,4) and (-4,4) and ecentricity is 2?

asked Feb 10, 2014 by sreemathi.v

1 answer

Length of conjugate axis is

asked Feb 10, 2014 by sreemathi.v

1 answer

Length of transverse axes is

asked Feb 10, 2014 by sreemathi.v

1 answer

For the hyperbola $\large\frac{x^2}{36}-\frac{y^2}{16}$$=1$ find the ecentricity?

asked Feb 10, 2014 by sreemathi.v

1 answer

The hyperbola whose transverse and conjugate axes respectively the conjugate and transverse axes of given hyperbola is called

asked Feb 10, 2014 by sreemathi.v

1 answer

Write the equation of conjugate hyperbola for the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$

asked Feb 10, 2014 by sreemathi.v

1 answer

What is the relation between $b$ and $a$ for an hyperbola?

asked Feb 7, 2014 by sreemathi.v

1 answer

What should be the value of eccentricity for a hyperbola?

asked Feb 7, 2014 by sreemathi.v

1 answer

The locus of a point which moves in a plane such that its distance from a fixed point (i.e focus) is e times its distance from a fixed line (i.e directix).It is called as __________

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the locus of mid-points of the portions of the tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ intercepted between the axis?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the locus of feet of perpendicular from the foci on and tangent to an ellipse?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the length of sub tangent and sub-normal for an ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

If the angle between the straight line joining foci and the ends of the minor axis of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ is $90^{\large\circ}$ .Find its eccentricity?

asked Feb 7, 2014 by sreemathi.v

1 answer

The equation $\large\frac{x^2}{5-a}+\frac{y^2}{4-a}$$=1$ represent ellipse if value of 'a' belongs to what value?

asked Feb 7, 2014 by sreemathi.v

1 answer

The length of the major axis of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ is 2 times the length of minor axis its eccentricity is :

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the value of p for which $e=\large\frac{1}{2}$ where ellipse is $\large\frac{x^2}{4}+\frac{y^2}{p^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the maximum area of $\Delta PSS'$ for the ellipse $\large\frac{x^2}{36}+\frac{y^2}{16}$$=1$ where S,S' are foci & P is any point on ellipse?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the equation of chord of contact of tangents drawn from a point $(x_1,y_1)$ to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$.

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the common tangent of $x^2+y^2=4$ and $2x^2+y^2=2$.

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the equation of director circle for ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

The ecentricity of an ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ whose latus rectum is half to its major axis is e.Find the value of e?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the length of lactus rectum and end points of lactus rectum for a ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

For what value of $\lambda$ does the line $y=x+\lambda$ touches the ellipse $\large\frac{x^2}{36}+\frac{y^2}{25}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the condition of tangency for a line $y=mx+c$ touches the ellipse

asked Feb 7, 2014 by sreemathi.v

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

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

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