Recently Active Co Ordinate Geometry Questions

The sum of the square of the length of all the possible chords intercepted by the line x + y = n, for some n(belongs to N) on the circle x2 + y2 = 4 is what? ...

the radius of the circular section of the sphere x2+y2+z2=25 by the plane 2x+3y-z-14=0 is?? ...

find the locus of the intersection of the normals to the parabola y2=4ax at the extremeties of a focal chord . please give a small and objective solution to this question ...! ...

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 . ...

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 . ...

inside a equilateral triangle ABC a point P moves such that d(P,BC)>=MAX{d(P,AB),d(P,AC)} then the area bounded by all possible positions of P is a)trinagle b)circle c)quadilatral d)pentagon ...

1.If the sum of the distances of a point from two perpendicular lines in a plane is 1,then its locus is (a)a square (b)a circle (c)a straight line (d)two intersecting line 2.If a,b,c are unequal and different from 1 such that ...

1.the real value of 'c' so that an tangent from a point on x^{2}+y^{2}+10x-8y +c^{2}-32 to x^{2}+y^{2}+10x-8y +2c^{2}-41=0 of length √40. a.25 b.5 c.4 d.does not exist. 2.AB is a focal cord of y^{2}=4ax with the point A cor ...

if 2x+3y+12=0 and x-y+4λ=0 re conjugate wrt to parabola y2=8x thn value of λ? ...

the inverse of point (1,2) wrt to circle x2+y2-4x -6y +9=0 is? (1,1/2) (0,1) (1,0)() (2,1) ...

ABCD is a quadrilateral with area 18,with side AB parallel to CD and AB=2CD.Angle BAD=90°. If a circle is drawn inside ABCD touching all the sides,then its radius is what? ...

the transformed eqn of 3x2+3y2+2xy=2 when the co ordinate axes are rotated through an angle of 45 a)x2+2y2=1 b)2x2+y2=1 c)x2+y2=1 d)x2+3y2=1 actually i don t know the basic approach to such sum .so plzz explain ...

does the auxillary circle of ellipse is for specific ellipse or it can be the auxillary circle for more than one ellipse ...

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If a,b,c are in G.P with common ration r,the sum of the ordinates of the points of intersection of line ax+by+c=0 and the curve x+2y2=0 is (a)-r2/2 (b)-r/2 (c)r/2 (d)r2/2 ...

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What is the mirror image of y2=4x in the tangent to the parabola at (1,2)? ...

If the normal to y2=4ax at point t1 cuts the parabola again at point t2,then find the range of t2. My method: Pt. t1=(a(t1)2,2at1) Pt. t2=(a(t2)2,2at2) Equn. of normal at t1:y=-t1x + at1(t12 + 2) Since the above equn. satisfi ...

Let 2 circles S1=0 and S2=0 intersect at point A & B. L1=0 is the line joining A & B where S1=x2 + y2 + 2ax + 2by -5 = 0 and S2:(x+1)2 + (y+2)2 = 9. Let AB subtend an angle C at origin. Angle subtended by S1=0 and S2=0 at p(3 ...

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find d distance betwn d two cenetrs such that d overlappin area betwn d two circles is same as d area wich is nt overlappin i mean outside ...

if two equilateral triangles r inscribed in a unit radius,the minimum value of their common area is 1.√3 2.√3/2 3.√3/4 4.√6/4 ...

If the parabolas y2=4a(x-b) and x2=4a(y-c) touch each other at right angles, the locus of their point of contact in terms of "a" is what? ...

The plane ax+by+cz+d=0; bisects an angle between a pair of planes of which one is lx+my+nz=0 the equation of the other plane of the pair is _________ ...

Locus of reflection of the foci of the ellipse x2/16+y2/12=1 in its tangents are the curves C1 and C2 .Curve C1 and C2 meet at P and Q.Let the line passing through P and Q be L.Hyperbola H is drawn with P and Q as its foci an ...

What is common tangent,(if any) for the curves y2 =8x and x2/4 +y2/9 =1? How do u approach such problems in general? ...

If the straight lines x-1/k=y-2/2=z-3/3 and x-2/3=y-3/k=z-1/2 intersect at a point then k is equal to (a)5 (b)2 (c)-2 (d)-5 ...

distnce betn (5,1,3) and d line x=3 y=7+t z=1+t is ? inoe d answer post d method ...

Altitude of the triangle of maximum area that can be inscribed in the curve [modulus of{z-2-2i}]=4 or (x-2)2 + (y-2)2 =4 is what? ...

1) If \alpha , \beta , \gamma and \delta are the angles made by a line with the diagonals of a cube, then cos^2\alpha +cos^2\beta +cos^2\gamma +cos^2\delta is equal to : (a) 0 (b) 1 (c) 2/3 (d) 4/3 ...