Recent questions tagged conic-sections

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse : $\large\frac{x^2}{4}$$+\large\frac{y^2}{25}$$=1$

asked Jul 15, 2014 by thanvigandhi_1

1 answer

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse : $ \large\frac{x^2}{36}$$+\large\frac{y^2}{16}$$=1$

asked Jul 15, 2014 by thanvigandhi_1

1 answer

Find the equation of the parabola that satisfies the given conditions : Vertex (0,0), passing through (5,2) and symmetric with respect to y-axis

asked Jul 15, 2014 by thanvigandhi_1

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Find the equation of the parabola that satisfies the given conditions : Vertex (0,0) passing through (2,3) and axis is along x-axis

asked Jul 15, 2014 by thanvigandhi_1

1 answer

Find the equation of the parabola that satisfies the given conditions : Vertex (0,0); focus (–2,0)

asked Jul 14, 2014 by thanvigandhi_1

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Find the equation of the parabola that satisfies the given conditions : Vertex (0,0); focus (3,0)

asked Jul 14, 2014 by thanvigandhi_1

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Find the equation of the parabola that satisfies the given conditions : Focus (0,–3); directrix y = 3

asked Jul 14, 2014 by thanvigandhi_1

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Find the equation of the parabola that satisfies the given conditions : Focus (6,0); directrix x = – 6

asked Jul 14, 2014 by thanvigandhi_1

1 answer

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum for the following : $ x^2=-9y$

asked Jul 14, 2014 by thanvigandhi_1

1 answer

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum for the following : $ y^2=10x$

asked Jul 14, 2014 by thanvigandhi_1

1 answer

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum for the following : $ x^2=-16y$

asked Jul 14, 2014 by thanvigandhi_1

1 answer

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum for the following : $ y^2=-8x$

asked Jul 14, 2014 by thanvigandhi_1

1 answer

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum for the following : $ x^2=6y$

asked Jul 14, 2014 by thanvigandhi_1

1 answer

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum for the following : $ y^2=12x$

asked Jul 14, 2014 by thanvigandhi_1

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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

1 answer

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

asked Jul 13, 2014 by thanvigandhi_1

1 answer

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

1 answer

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

1 answer

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

1 answer

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

1 answer

$2x^2 + 2y^2 – x = 0$, 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

1 answer

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

asked Jul 11, 2014 by thanvigandhi_1

1 answer

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

asked Jul 11, 2014 by thanvigandhi_1

1 answer

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

asked Jul 11, 2014 by thanvigandhi_1

1 answer

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

asked Jul 11, 2014 by thanvigandhi_1

1 answer

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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Which of the following are tangents to the circle $x^2+y^2-4x+8y+12=0$ from $(5-3)$?

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Which of the following are tangents to the circle $x^2+y^2-6x-2y-15=0$ which are parallel to the line $3x+4y+20=0$?

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Given the circle $x^2+y^2+2x-4y+1=0$, find the length of a tangent from the point $(3,0)$ to the circle.

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Given the circle $x^2+y^2-4x+6y-12=0$, find the tangent at the point $(5,-7)$ on the circle.

asked Apr 9, 2014 by balaji.thirumalai

1 answer

A circle of radius $\sqrt 20$ has the point $(-1,3)$. Its centre is on the line $x=-y$. Which of the following equations satisfies these conditions?

asked Apr 9, 2014 by balaji.thirumalai

1 answer

If the lines $3x – 4y + 4 = 0$ and $6x – 8y – 7 = 0$ are tangents to a circle, then find the radius of the circle

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Find the equation of the circle which touches $x$-axis and whose centre is $(1, 2)$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

If a circle passes through the point (0, 0) (a, 0), (0, b) then find the coordinates of its centre.

asked Apr 9, 2014 by balaji.thirumalai

1 answer