Recent questions tagged ch11

Does the point (–2.5, 3.5) lie inside, outside or on the circle $x^2 + y^2 = 25$ ?

asked Jul 13, 2014 by thanvigandhi_1

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Find the equation of a circle with centre $(2,2)$ and passes through the point $(4,5)$.

asked Jul 13, 2014 by thanvigandhi_1

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Find the equation of the circle passing through $(0,0)$ and making intercepts a and b on the coordinate axes.

asked Jul 13, 2014 by thanvigandhi_1

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Find the equation of the circle with radius $5$ whose centre lies on x-axis and passes through the point $(2,3)$.

asked Jul 13, 2014 by thanvigandhi_1

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Find the equation of the circle passing through the points $(2,3)$ and $(–1,1)$ and whose centre is on the line $x–3y–11 = 0$.

asked Jul 13, 2014 by thanvigandhi_1

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Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16

asked Jul 13, 2014 by thanvigandhi_1

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$2x^2 + 2y^2 – x = 0$, find the centre and the radius of the circles.

asked Jul 13, 2014 by thanvigandhi_1

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$x^2+y^2–8x+10y–12=0$, find the centre and radius of the circles.

asked Jul 13, 2014 by thanvigandhi_1

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$x^2+ y^2– 4x–8y–45=0$ find the centre and radius of the circles.

asked Jul 11, 2014 by thanvigandhi_1

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$(x+5)^2+(y-3)^2=36$ find the centre and radius of the circles.

asked Jul 11, 2014 by thanvigandhi_1

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Find the equation of the circle with centre (–a, –b) and radius $ \sqrt{a^2-b^2}$

asked Jul 11, 2014 by thanvigandhi_1

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Find the equation of the circle with centre (1,1) and radius $ \sqrt 2$

asked Jul 11, 2014 by thanvigandhi_1

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Find the equation of the circle with centre $ \bigg( \large\frac{1}{2}$$, \large\frac{1}{4} \bigg)$ and radius $ \large\frac{1}{12}$

asked Jul 11, 2014 by thanvigandhi_1

1 answer

Find the equation of the circle with centre (–2,3) and radius 4

asked Jul 11, 2014 by thanvigandhi_1

1 answer

Find the equation of the circle with centre (0,2) and radius 2

asked Jul 11, 2014 by thanvigandhi_1

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If vertex and focus of hyperbola are $(2,3)$ and $(6,3)$ respectively and eccentricity e of the hyperbola is 2 then equation of the hyperbola is

asked Apr 21, 2014 by meena.p

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Equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm2,0)$ is

asked Apr 21, 2014 by meena.p

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The eccentricity of the hyperbola $9y^2 -4x^2=36$ is

asked Apr 21, 2014 by meena.p

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The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$. Its equation is

asked Apr 21, 2014 by meena.p

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Equation of the chord of the hyperbola $25x^2-16y^2=400$ which is bisected at the point $(6,2)$ is

asked Apr 21, 2014 by meena.p

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Find the equation of hyperbola if the distance between the foic is $16, e=\sqrt 2$ and axis along x-axis with centre oxgin.

asked Apr 21, 2014 by meena.p

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Find the equation of the tangents drawn from the point $(-1,-2)$ to the hyperbola $2x^2-3y^2=6 $

asked Apr 21, 2014 by meena.p

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A rectangular hyperbola whose cetre is C is cut by any circle of radius r in four points $P,Q,R$ and S. Then $CP^2+CQ^2+CR2+CS^2$ is equal to.

asked Apr 21, 2014 by meena.p

1 answer

If angle between the asymptotcs of the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$is $45^{\circ}$ then value of eccentricity $e$ is :

asked Apr 21, 2014 by meena.p

1 answer

Equation of chord of the hyperbola $25x^2-16y^2=400$ which is bisected at the point $(6,2)$ is

asked Apr 21, 2014 by meena.p

1 answer

If $e$ and $e'$ be the eccentricities of a hyperbola and its conjugate then $ \large\frac {1}{e^2}+\frac{1}{e^{12}}$ is equal to

asked Apr 21, 2014 by meena.p

1 answer

The locus of a point $p(\alpha, \beta)$ moving under the condition that the line $y=\alpha x + \beta$ is a tangent to the hyperbola $\large\frac{x^2}{a^2} -\frac{y^2}{b^2}$$=1$ is

asked Apr 21, 2014 by meena.p

1 answer

A circle touches the x-axis and also touches the circle with centre at $(0,3)$ and radius the circle with centre at $(0,3)$ and radius 2. The locus of the center of circle is

asked Apr 21, 2014 by meena.p

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If the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^6}{b^2}$$=1$ and the hyperbola. $\large\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is

asked Apr 21, 2014 by meena.p

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Angle between the asymptotes of the hyperbola $3x^2+7xy+2y^2-11x-7y+10=0$ is

asked Apr 21, 2014 by meena.p

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If $e_1$ and $e_2$ are the eccentricities of the hyperbolas $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ and $\large\frac{y^2}{b^2}-\frac{x^2}{a^2}$$=1$ Then value of $\large\frac{1}{e_1^2}+\frac{1}{e_2^2}$ is

asked Apr 21, 2014 by meena.p

1 answer

The vertices of the hyperbola $9x^2-16y^2-36x+96y-252=0$ are

asked Apr 11, 2014 by meena.p

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The diameter of $16x^2-9y^2=144$ which is conjugate to $x=2y$ is

asked Apr 11, 2014 by meena.p

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A common tangent to $9x^2-16y^2=144$ and $x^2+y^2=9$ is

asked Apr 11, 2014 by meena.p

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The eccentricity of the hyperbola whose latus rectum is $8$ and conjugate axis is equal to half the distance between the foci is

asked Apr 11, 2014 by meena.p

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Find the asymptotes of the hyperbola. $xy=4x+3y$

asked Apr 11, 2014 by meena.p

1 answer

Find the equation of the hyperbola with focus $(2,2) \; e=2$ and directrise $x+y=9$

asked Apr 10, 2014 by meena.p

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The minimum area of triangle formed by the tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ coordinate axes is :

asked Apr 10, 2014 by meena.p

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The locus of the mid- points of the portion of the tangents to the ellipse intercepted between the axis is :

asked Apr 10, 2014 by meena.p

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Equation of the director circle of the ellipse $x^2+2y^2+2x-12y+15=0$ is

asked Apr 10, 2014 by meena.p

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If $3x+2y=0$ and $5x-12y=0$ are the equation of the pour of conjugates diameters, then value of eccentricity e is

asked Apr 10, 2014 by meena.p

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The locus of the mid -point of the portion of the tangents to the ellipse intercepted between the axes is

asked Apr 10, 2014 by meena.p

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Tangent is drawn to the ellipse $\large\frac{x^2}{27} $$+y^2=1$ at $(3 \sqrt 3 \cos \theta, \sin \theta)$ (where $\theta \in (0, \large\frac{\pi}{2} )$) Then the value of $\theta$ such that sum of intercepts on axis made by this tangent is minimum is

asked Apr 10, 2014 by meena.p

1 answer

The eccentricity of an ellipse , with its centre at origin is $\large\frac{1}{2}$, If one of the directrices is $x=4$ then the equation of the ellipse is

asked Apr 10, 2014 by meena.p

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The lengths of the axes of the conic $9x^2+4y^2-6x+4y+1=0$ are

asked Apr 10, 2014 by meena.p

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Length of latus rectum is one third of major axis:

asked Apr 10, 2014 by meena.p

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If the polar of $y^2=4ax$ is always touching the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ then locus of the pole is :

asked Apr 10, 2014 by meena.p

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If $y=mx+c$ is a tangent to the ellipse $x^2+2y^2=6$ then $c^2$ is equal to

asked Apr 10, 2014 by meena.p

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The number of normal that can be drawn from a point to a given ellipse is

asked Apr 10, 2014 by meena.p

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The line $x \cos \alpha + y \sin \alpha =p$ is a tangent to the ellipse. $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ if

asked Apr 10, 2014 by meena.p

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