Recently Active Co Ordinate Geometry Questions

A (x1,y1) is an external pt. on the circle x2+y2=a2.a variable straight line is drawn through A cutting the circle at B n C.if P is a pt. on BC such that AB,AP,AC r in A.P.,then locus of p is??? ans.x(x-x1)+y(y-y1)=0 ...

two circles touch the x-axis n the line y=mx.they intersect at(9,6) n at one more pt. n the product of their radii is 117/2.then the value of m is.... ans.2√2 ...

d locus of middle points of chords of d parabola y2 =4ax which r such dat d normals at their xtremities meet on d parabola is ...

maximum length of perpendicular from centre of ellipse x2/9+y2/4 =1 on any normal to this ellipse is equal to a+5, then value of a is a. -4 b. -3 c. 4 d. none ...

the no. of rational points on a circle having centre at (Î ,e) is_____ ...

from an arbitrary point p on the circle x2+y2=9,tangents are drawn the circle x2+y2=1 andwhich meet the circle x2+y2=9 at A and B .locus of points of intersection of tangents from A and B. is (subjective type) ...

One topic troubling me in 3D coordinate geometry is the reflection of a line by a given plane ... can someone please help me .. nishant bhaiya please tell me the approach ?? ...

two squares r enclosed in an unit circle.wat shld be their minimum common area??? ...

if the focus of parabola y2+8=4x coincides with one of the foci of ellipse3x2+by2-12x=0 then eccentricity of ellipse is a. 1/2 b.1/√2 c.1/4 d. none of these paragraph question ABCD is a trapezium in whichAD is perpendicular ...

1)if the conics whose equations are sin2θ x2+2hxy+32x + 16y+ 19=0 and cos2θ+x2+2h|xy+sin2θy2+16x+32y+19=0 intersect at four concyclic points then a)h+h|=0 b)h+h|=1 C)h=h| d)none q2)the no. of rational points on a circle ha ...

The radius of the largest circle touhing the rectangular hyperbola xy=1 at (1,1) and axes is _________ i got 2- 2 it is the rong ans so pls give the soln and ans is 3-2 2 ...

The axis of a parabola is along the line y=x,and the distance of its vertex from origin is 2 and that from its frocus is 2 2 both lie in the first quadrant,then the equation of the parabola is _____ ...

If two unequal parabolas are having the same focus and axes in opposite directions, then the angle between them at their common point of intersection is a.45° b.30° c.60° d.90° ...

find the max n min no of points, having rational coordinates, which can exist on the circle with centre (0, sqrroot2)? ...

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. ...

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. ...

if the centres of n circles are collinear then their radical axes taken two at a time are parallel isn't this statement true..? in the solution its given false.. can someone confirm or give a counter example ...

if normals are drawn from a ppiont P(h,k)to the parabola y2=4ax.then the sum of intercepts which the normal cut off from the axis of parabola is a)h+a b)2(h+a) c)3(h+a) d)none ...

theline 4x+3y-4=0 divides the the circumfrence of the circle centered at (5,3)in the ratio of 1:2,the raius of the circle is__________ ...

suppose A is a complex no. & n belong to N,such that An =(A+1)n=1.then least value of n is, 1.3 2.6 3.9 4.12 ...

if we get in exams a question involving rectangular hyperbola..........which form should we use????? x2-y2=a2 or xy=c2 though calculation is easier using 2nd equation.......but still had a doubt that would the answeer change ...

the slope of a chord of a parabola y2=8x which is normal at one end and subtends a right angle at the vertex is ?? ...

in a triangle the incircle touches the sides BC,CA&AB at D,E&F respectively.If the radius of the incircle is 4 units and BD,CE,&AF are in AP with common difference 1,the what is the area of the triangle ABC????plzzz explain.. ...

the complex nos. whose real n imaginary parts r integers n satisfy d equation z.conj z3 + z3conj.z=350 forms a rectangle on the argand plane , the lenght of whose digonal is, 5 10 15 25 ...

if the equation z4+a1z3+a2z2+a4=0,wherea1,a2,a3,a4 r real coeffiients diff. from zero has pure imaginary root then the expression a3/a1a2 + a1a4/a2a3 ha d value 1. 0 2. 1 3. -2 4. 2 ...

if /z/ = max{ /z-1/ , /z+1/ } then, 1./z+conjugatez/=1\2 2.z+ conj. z =1 3./z+conj.z /=1 4.none ...

someone plz help me recollect how to do this damn sum. I've totally forgotten how to do it 1.Find the minor axis of: 2x2-2xy+4y2-(3+√2)=0 ...

*Image* ...

m1.m2 =-1 is the condition for perpendicular lines.. how is x=0 and y=0 perpendicular? ...

this is a easy one the equation of the image of the pair of rays y=|x| by the line x=2 is A)|y|=x+2 b)y=|x+4| c)y=|x-4| d)y=|x-2| ...