Unanswered Co Ordinate Geometry Questions

two straight lines rotate abt two fixed points (-a,0) and (a,0) . if they start from their position of coincidence such that one rotates at the rate double the other, then... locus of the curve is ?? ... 1)circle 2)pa ...

Through the vertex O of the parabola y2=4ax, chords P and Q are drawn at right angles to one another. Show that for all positions of point P, PQ cuts the axis of the parabola at a fixed point. Also find the locus of middle po ...

In an ellipse, the tangent at P meets in T and t, and CY is the pependicular on it from the centre; prove thet 1) Tt.PY = a2 - b2 and 2) the least value of Tt is a+b. ...

From a point P, perpendicular PM and PN are drawn to two straight lines OM and ON. If the area OMPN, be constant, then prove that the locus of point P is a hyperbola. ...

find the locus of the the point of the intersection of the normals to the parabola x2=8y which are at right angles to each other . ...

circles are described on any two focal chords of a parabola as diameters . prove that their common chord passes through the vertex of the parabola . ...

http://yfrog.com/5fabcmjyj Show the equation for AB to be minimum. Please use algebra. The answer is b^1/3x +a^1/3y = a^1/3b^1/3 ( a^2/3 +b^2/3) Please show also. ...

Can anyone please tell me what is a common normal between 2 curves and most important : How does a common normal between two parabolas look like ???? ...

Sorry ..double post[2] ...

From a pt perpendicular tangents are drawn to the ellipse x2+2y2=2.The chord of contact touches a circle which is concentric with the given ellipse.Find the ratio pf maximum and minimum area of circle?? ...

Find out the coordinates of the extremities of the latus rectum of the parabola x2+y2-16x-16y+2xy+32=0. ...

1. In a tri ABC the median AD and the altitude AM divides the angle A in three equal parts.Show that \Delta (cos A/3.sin2A/3) = 3a3 /128R . 2. In a \Delta abc the lengths of the bisectors of the angles A, B and c are x,y and ...

For a > 0, prove that the circle x2 + y2 =1 and the parabola y=ax2 - b intersect at four distinct points, provided a>b>1. This is the solution given in my book. Since a>0, by figure -b<-1 i.e. b>1 also when ...

Can anyone tell me what is the condition for a hyperbola and ellipse to interesect orthogonally ...

in triangle ABC the coordinates of the vertex A are (4, -1) and the lines x-y-1=0 and 2x-y-3=0 are internal bisectors of angles B and C then , radius of incircle of triangle ABC is ...

A circle passes thru three pts A , B and C with line segment AC as diameter . A line passing thru A intersects the chord BC at a pt. D inside the circle. If angles DAB and CAB are α and β , respectively and the distance b/w ...

where can i get OFFICIAL answer to previous AIEEE papers? ...

Locus of the centre of the circle touching a given circle and a given straight line is a parabola y2=8x.Then (A)Centre of the given circle is (2,0) (B)If radius of the given cirlce is 2 units then given line must be the direc ...

Find the locus of the points of intersection of tangents drawn at the ends of all normal chords of the parabola y2=8(x-1). ...

Q. Two sides of a rhombus ABCD are parallel to y = x + 2 and y = 7x + 3. If the diagonals of the rhombus intersect at (1,2) and the vertex A is on the y axis, find the possible co-ordinates of A. My soln- let A be (0,h). Also ...

we know that the centroid of an isocelous triangle is also the centre of the circle circumscribing it. So if it is so then we can't draw two different isocelous triangles inside a circle with different centroids. ...

The line joining A(b cosα , b sinα) and B( a cosβ,a sinβ) is produced to point M(x,y) so that AM:MB = b:a, then what's the value of x cos α+β/2 + y sin α+β/2 ???? ...

show that the semi-latus rectum of the parabola y2 = 4ax is the harmonic mean between the segments of any focal chord. ...

prove this... The angle between the two focal radii in a parabola y2 = 4ax is double the angle between the tangents drawn from their end points. ...

Q.1) Find the locus of the centre of a circle which touches a fixed line and a fixed circle. Q.2) Find the slope of the directrix of a Parabola which passes through (1,2) and (3,4) and tangents at these points intersect at (6 ...

A parabola passes through the points A and B. The ends of a diameter of a given circle of radius ' a '. A tangent to the concentric circle of radius ' b ' is the directrix of parabola. Q. If AB and the perpendicular diameter ...

will any one explain me the topic chord of contact of a circle...?? ...

Wen we r given to find the equation of a circle thru three given points, we go by the family approach..we tend to form the equation of the circle taking the first two points as the end point of the diameter nd den form a stra ...

Note : The question is NOT incorrect A and B are 2 points 30 m apart in a line on the horizontal plane through the foot of a tower lying on opposite sides of the tower,If the distances of the tower from A and B are 20 m and 1 ...

Q)The no. of rational pts(a pt is rational if both its co-ordinates are rational),on the circumference of a circle having centre (Ï€,e). (a)at most one (b)exactly one (c)exactly two (d)infinite We have to find this for variab ...