Recent questions tagged ch11

The equation of the ellipse (referred to its axis as the axis of x and y respectively) which passes through the point $(-3,1)$ and had eccentricity $\sqrt {\large\frac{ 2}{5}}$

asked Apr 10, 2014 by meena.p

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The eccentric angle of a point on the ellipse $\large\frac{x^2}{6} +\frac{y^2}{2}$$=1$ Whose distance from the centre of ellipse is 2 is

asked Apr 10, 2014 by meena.p

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Find the equation of tangent to the ellipse $3x^2+4y^2=12$ which are parallel to the line $y+2x=4$

asked Apr 10, 2014 by meena.p

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P is a point, two tangents are drawn from it to the parabola $y^2=4x$ such that the slope of one tangent is three times the slope of the other. The locus of P is

asked Apr 10, 2014 by meena.p

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If the vertex and the focus of a parabola are $(-1,1)$ and $(2,3)$ respectively then the equation of the directrise , is

asked Apr 10, 2014 by meena.p

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The angle between the tangent drawn from the point $(1,4)$ to the parabola $y^2=4x$ is

asked Apr 10, 2014 by meena.p

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The curve disturbed parametrically by $x=t^2+t+1\;y=t^2-t+1$ represents

asked Apr 10, 2014 by meena.p

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If $x+y=k$ is the normal to $y^2=12x$ then k is

asked Apr 10, 2014 by meena.p

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If the line $x-1=0$ is the directrix of parabola $y^2-kx+8=0$ then one of the value of k is

asked Apr 10, 2014 by meena.p

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The equation of the directrise of the parabola $y^2+4y+4x+2=0$ is

asked Apr 10, 2014 by meena.p

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The angle between the tangents draw from the origin to the parabola $y^2=4a(x-a)$ is

asked Apr 10, 2014 by meena.p

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The equation of common tangent to the curves $y^2=8x$ and $xy=-1$ is

asked Apr 10, 2014 by meena.p

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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

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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

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The locus of the mid point of the line segment joining the focus to a moving point on parabola $y^2=4ax$ is another parabola with direction

asked Apr 9, 2014 by meena.p

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In the parabola $y^2=4ax$ , the length of the chord passing through the vertex and inclined to the x-axis at an angle $\theta$ is

asked Apr 9, 2014 by meena.p

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The normal to the parabola $y^2=8x$ at the point $(2,4)$ meets the parabola again at the point.

asked Apr 9, 2014 by meena.p

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The focus of the parabola $y^2-x-2y+2=0$ is

asked Apr 9, 2014 by meena.p

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If polar of the parabola $x^2=4ay$ is always touching the parabola $y^2=4ax$ then locus of the pole is :

asked Apr 9, 2014 by meena.p

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Equation of the parabola if its vertex and focus are $(-2,3)$ and $(1,-1)$ respectively is

asked Apr 9, 2014 by meena.p

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Line $y=mx+c$ will touch the parabola <Br> $\qquad \qquad \qquad x^2=4ay$ if,

asked Apr 9, 2014 by meena.p

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The common tangent to the parabola $y^2=4ax$ and $x^2=4ay$ is

asked Apr 9, 2014 by meena.p

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The normal at $(a,2a)$ on $y^2=4ax$ meets the curve again at $(at^2,2at)$ then the value of t is

asked Apr 9, 2014 by meena.p

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If the parabolas $Y^2= 4x$ and $x^2=32y$ intersect at $(16,8)$ at an angle $\theta$ then $\theta$ is equal to

asked Apr 9, 2014 by meena.p

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The length of a focal chord of the parabola $y^2=4ax$ making an angle $\theta$ with the axis of the parabola is

asked Apr 9, 2014 by meena.p

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The ratio in which the line segment joining the points $(4,-6)$ and $(3,1)$ is divided by the parabola $y^2=4ax$ is

asked Apr 9, 2014 by meena.p

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Find the points of the conic $y=x^2+7x+2$ which is nearest to the line $3x-y-3=0$

asked Apr 9, 2014 by meena.p

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Find the equation of the chord of the parabola $y^2=12x$ which is bisected at $(5,-7)$

asked Apr 9, 2014 by meena.p

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The radius of the circle passing through the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^2}{9}$$=1$ and having its center at $(0,3)$ is

asked Apr 9, 2014 by meena.p

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The equation $2x^2+3y^2-8x-18y+35=k$ represents

asked Apr 9, 2014 by meena.p

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The circle passing through $(1,-2)$ and touching the axis of x at $(3,0)$ also passes through the point.

asked Apr 9, 2014 by meena.p

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The length of the diameter of the circle which touches the x-axis at the point $(1,0)$ and passes through the point $(2,3)$ is

asked Apr 9, 2014 by meena.p

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The circle $x^2+y^2=4x+8y+5$ intersects the line $3x-4y=m$ at the two distinct points if

asked Apr 9, 2014 by meena.p

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If a circle passes through the points $(a,b)$ and cuts the circle $x^2+y^2=4$ orthogonally, then the locus of its centre is

asked Apr 9, 2014 by meena.p

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The two circles $x^2+y^2=ax$ and $x^2+y^2=c^2\; (c > 0) $ touch each other if

asked Apr 9, 2014 by meena.p

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Intercept on the line $y=x$ by the circle $x^2+y^2-2x=0$ is $AB$ equation of the circle on AB as a diameter is :

asked Apr 9, 2014 by meena.p

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If the lines $2x+3y+1=0,\qquad 3x-y-4=0$ lie along diameter of a circle of circumference $10\pi$ then the equation of the circle is :

asked Apr 8, 2014 by meena.p

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The lines $2x-3y=5$and $3x-4y=7$ are diameters of a circle having area as $154$ sq.units. The equation of the circle is .

asked Apr 8, 2014 by meena.p

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If the two circles $(x-1)^2+(y-3)^2=r^2$ and $x^2+y^2-8x+2y+8=0$ intersect in two distinct point then

asked Apr 8, 2014 by meena.p

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The centre of the circle passes through $(0,0)$ and $(1,0)$ and touching the circle $x^2+y^2=9$ is

asked Apr 8, 2014 by meena.p

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If the chord $y=mx+1$ of the circle $x^2+y^2=1$ substance on angle of measures $45^{\circ}$ at the major segment of the circle then value of m is

asked Apr 8, 2014 by meena.p

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The number of common tangent to the circle $x^2+y^2=4$ and $x^2+y^2-6x-8y=24$

asked Apr 8, 2014 by meena.p

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Given that the furthest the earth gets from the sun is approximately 94.56 million miles, and the eccentricity of earth's orbit is approximately 0.017, what is the closest approach of the earth to the sun.

asked Apr 8, 2014 by balaji.thirumalai

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The circle passing through the point $(-1,0)$ and touching the y-axis at $(0,2)$ also passes through the point .

asked Apr 8, 2014 by meena.p

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The center of circle inscribed in square formed by the lines $x^2-8x+12=0$ and $y^2-14\;y+45=0$ is

asked Apr 8, 2014 by meena.p

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If the tangent at the point P on the circle $x^2+y^2+6x=2$ meets a straight line $5x-2y+6=0$ at a point Q on the y-axis , then the length of $PQ$ is

asked Apr 8, 2014 by meena.p

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A satellite dish has a diameter of 8 feet. The depth of the dish is 1 foot at the center of the dish. Where should the receiver be placed?

asked Apr 8, 2014 by balaji.thirumalai

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The area enclosed within the curve $|x|+|y|=1$ is

asked Apr 8, 2014 by meena.p

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Find the equation of an ellipse that satisfies the following conditions: Centre at $(0,0)$, major axis on y-axis and passes through $(3,2), \; (1,6)$

asked Apr 3, 2014 by balaji.thirumalai

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