Recently Active Co Ordinate Geometry Questions

from the point p[1,√3] on the circle x2+y2=4 a tangent is drawn to the hyperbola x2/4-y2/1=1which meets its transverse axis at q.from q a line is drawn parallel to congugate axis ,which cuts the hyperbola at r above ...

if the line normal at [ct,c/t]on the curve xy=c2meets the curve again in tithen prove that ti =-1/t3 ...

an ellipse haas ob as semi minor axis ,f and k as focii and the angle fbk is a right angle.then the eccentricity of the ellipse is ...

three normals are drawn from a point [c,o] to a parabola y2=x then c> ? ...

how do we find the distance between parallel lines ...

why is that in a rectangular hyperbola ,we have(ct,c/t) and not the other way round??? ...

consider a parabola.... we can usually draw three normals to it from an external point.... ..FIND THE LOCUS OF ALL THOSE POINTS FROM WHICH ONLY TWO NORMALS CAN BE DRAWN .... ...

If ax+by+c=0 is the polar of (1,1) w.r.t the circle x2+y2-2x+2y+1=0 and H.C.F of a,b.c is equal to one then a2+b2+c2= ? ...

1.What does book mean by: (axb)2 2. What is (axb).(cxd) equal to? I'm Having problems with properties of x and . products....(above problem q.2) ...

Show that the midpoint of three diagonals of acomplete quadrilateral are collinear. ...

given a parabola as: x=at2+bt+c and y=a't2+b't+c'. ..........so find the latus rectum..??? (this is objective question.. i dun have the options r8 now... so, sorry.) ...

if d area of d triangle inscribed in d parabola y=4ax wid one vertex @ d origin of d parabola and othr two vertices at d xtremities ofd focal chord is 5a^2/2 then d elngt of d focal chord is i tried by takin dat point as ...

*Image* ...

*Image* ...

In the definition of conics the fixed pt doesn't lie on the directrix but what will be the geometric figures if the fixed pt lie on the directrix for different cases i.e. 1) e<1 2) e=0 c)e=1 d)e>1 ...

If the normal at the point P(at2 , 2at) to the parabola y2=4ax cuts the circle drawn with PS as diameter at Q ( S- focus ) P.T. PQ = a√( 1+t2) ...

if the line y-√3x-3=0 cuts the parabola y2=x+2 at A and B, and if P=(√3,0), then PA.PB is equal to …? a) 2(3^0.5 +2)/3 b) 4(3^0.5)/2 c) 4(2 - 3^0.5)/3 d) 4(3^0.5 + 2)/3 ...

for tangent of y2=4ax, we finf dy/dx..... wat shud we find for x2=4ay??? dy/dx or dx/dy??? i think dy/dx... but plz confirm.....i suddenly had this confusion today!! ...

There are n points in a plane such that the area of the tirangle formed by any three is less than 1. Find the "minimum" area in which all these n points are enclosed!!! This was asked to me in my ISI interview. *clarifi ...

two mutually perpendicular chords OA and OB are drawn through the vertex O of a parabola y2=4ax. Then the locus of the circumcenter of the triangle OAB... i got the ans y2=2ax-2a2 is it wrong??? plz reply ...

find the sum to n terms and the nth term 1+5+19+49+101+181+295+........ plese solve the prob in details.... ...

I am not understanding these two subjects. I htink in my all prepartation this is my worst. How to improve. Pls help me. ...