Recent questions in Coordinate Geometry

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

1 answer

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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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

1 answer

Find the point of intersection of the line $4x-3y-10=b$ and circle $x^2+y^2-2x+4y-20=0$

asked Apr 8, 2014 by meena.p

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There are 10 points in a plane out of these 6 are collinear. If N is the number of triangle formed by joining these points. Then

asked Apr 8, 2014 by meena.p

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The line $p(p^2+1)x-y+q=0$ and $ (p^2+1)^2x +(p^2+1)y+2q=0$ are perpendicular to a common line for

asked Apr 8, 2014 by meena.p

1 answer

The shortest distance between the line $y-x=1$ and the curve $x=y^2$ is

asked Apr 8, 2014 by meena.p

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The perpendicular bisector of the line segment joining $P(1,4)$ and $Q(K,3)$ has y-intercept $-4$, Then a possible value of $k$ is

asked Apr 8, 2014 by meena.p

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A straight line through the point $A(3,4)$ is such that its intercept between the axis is bisected at A. Its equation is

asked Apr 8, 2014 by meena.p

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If one of the lines given by $6x^2-xy+4cy^2=0$ is $3x+4y=0$ then c equals

asked Apr 8, 2014 by meena.p

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If the sum of the slopes of the lines given by $x^2-2cxy-7y^2=0$ is four times their product c has the value.

asked Apr 8, 2014 by meena.p

1 answer

Let $A(2,3)$ and $B(-2,3)$ be vertices of a triangle ABC. If the centriod of this triangle moves on the line $2x+3y=1$ then the locus of the vertex C is the line .

asked Apr 8, 2014 by meena.p

1 answer

Locus of centriod of the triangle whose vertices are $(a \cos t, a \sin t),(b \sin t,-b \cos t)$ and $(1,0)$ where t is a parameter is

asked Apr 8, 2014 by meena.p

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If the pair of straight lines $x^2-2pxy-y^2=0$ and $x^2-2qxy-y^2=0$ be such that each pair bisects the angle between the other pair then,

asked Apr 8, 2014 by meena.p

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The pair of lines represented by $3ax^2+5xy+(a^2-2)y^2=0$ are perpendicular to each other for

asked Apr 8, 2014 by meena.p

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If the pair of lines $ax^2+2hxy +by^2+2gx+ 2fy+c=0$ intersect on the y-axis then

asked Apr 8, 2014 by meena.p

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A triangle with vertices $(4,0),(-1,-1),(3,5)$ is

asked Apr 8, 2014 by meena.p

1 answer

If a,b and c are in A.P thin the straight line $ax+by+c=0$ will always pass through line $ax+by+c=0$ will always pass through a fixed point whose coordinates are

asked Apr 8, 2014 by meena.p

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Given the points $A(0,4)$ and $B(0,-4)$ the equation of the locus of the point $P(x,y)$ such that $|AP-BP|=6$ is

asked Apr 8, 2014 by meena.p

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The set of lines $ax+by+c=0$ where $3a+2b+4c=0$ is concurrent at the point.

asked Apr 8, 2014 by meena.p

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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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A bird is sitting on top of a vertical pole 20m high and its elevation from point O on the ground is 45 $^{\circ}$. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30$^{\circ}$. Then the speed in m/s of the bird is?

asked Apr 6, 2014 by balaji.thirumalai

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The image of the line $\large\frac{x-1}{3}$ $ = $$\large\frac{y-3}{1}$$=$ $\large\frac{z-4}{-5}$ in the place $2x-y+z+3=0$ is the line:

asked Apr 6, 2014 by balaji.thirumalai

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Find the angle of intersection of two circles?

asked Mar 27, 2014 by balaji.thirumalai

1 answer

Find the equation of normal in slope form for the hyperbola?

asked Mar 26, 2014 by balaji.thirumalai

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