Recently Active Co Ordinate Geometry Questions

reading this quesn mite make u feel this is a 9th class quesn(it atleast made me feel so:P) but still cudnt do it:P now i realise why my maths is weak........kaash 9th mein dhang se padh leta:P In a triangle OAB , E is the mi ...

if the asymptote of the hyperbola (x+y+1)2 - (x-y-3)2 = 5 cuts each other at A and the coordinate axis at B and C then radius of circle passing through the points A, B ,C is ...

Show that the locus of a pt. which moves in such a way that the square of its distance from the base of an isosceles triangle is equal to the rectangle under its distance frm the other sides , is a circle. ...

Find the number of solutions of the equation | 1/|x| -1 | = x + sin(x) ...

why there is two focus in ellipse? ...

Tangent is drawn at any point(p,q) on the parabola y^2=4*a*x, Tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2, such that all the chords of contact pass through a fixed point ( r,s) then p,q,r,and s ...

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

Let P be an interior point of a triangle ABC. Extend AP, BP, CP to meet BC, CA, AB respectively in D, E, F. Suppose the areas of the triangles APE, APF and BPD are equal, prove that P is the centroid of triangle ABC. ...

Find the sum of the the intercepts on the axes of coordinates by any tangent to the curve √x +√y=2 Plz solve this problem............ ...

the equation e^(x-1)+x-2=0 has how many roots ?????????? ...

find the point inside the triangle ABC so that the largest distance from any side is minimum. a) centroid b) orthocenter c) circumcentre d) none of these ...

the diagonals PR & QS of the quadrilatrl PQRS intersect at M and the areas of the triangles MPQ and MRS are 16 cm2 and 25 cm2 respectivly. let the min. possible area of the quadrilateral PQRS be A cm2 .then the sum of the squ ...

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 ...

Find the equation of the circle described on a focal chord with slope m, of the parabola y2=4ax as diameter. There are two approaches to this problem. 1) The end points of the focal chord are (a/m2,2a/m) and (am2,-2am) So the ...

Coming back after a long time..... The question: Prove that a point can be found which is equidistant from each of the following four points: A (a m1, a/m1), B (a m2, a/m2), C (a m3, a/m3), and D (a/m1m2m3, a m1m2m3) ...

What is the Diff between eccentric angle and parametric points of an ELLIPSE? DO NOT TELL THE DEFINITION but tell me if they can be used interchangeably as I have seen in some ques............. ...

If the pair of lines x^2 - 2pxy - y^2=0 and x^2 - 2qxy - y^2=0 are such that each pair bisects the angle between the other pair, then pq equals.? The solution is The second pair must be identical with x^2 - y^2/1-(-1) =xy/-p ...

1.THE POINTS (a,b), (c,d),(a,d),(c,b) TAKEN IN ORDER, WHER a,b,c,d are real numbers are: a. COLLINEAR b. VERTICES OF A SQUARE c. VERTICES OF A RHOMBUS d. CONCYCLIC given ans:: b but my answer:: d PLEASE EXPLAIN IN DETAILS ...

Chord of contact of pair of tangents drawn from , each point on the line 2x+y=4 , to the parabola y2=4x pass through which fixed point?? ...

If m is the slope of a line and 3m+4=3m+2 then does this line exist or not?? ...

If the locus of the mid points of the chords of the circle x2+y2=16 which are tangents to the hyperbola 9x2-16y2=144 is given by (x2+y2)a= bx2-cy2 then find the value of a+b+c. ...

Plz help 1.find the area of traingle formed by the lines y-x=0;x+y=0 and x-k=0. 2.the line 7x-9y-19=0 is perpendicular to the line through the points(x,3) and (4,1), find the value of x. ...

If A ≡(3,4) and B is a variable point on the line |x|=6.If AB≤ 4 then the no. of positions of B with integral co-ordinates is: a)5 b)10 c)12 d)6 ...

1.Tangents at the three points of a parabola y^2 = 4ax form a equilateral triangle . Prove that the vertices of the triangle lie on the curve (3x + a)(3a + x) = y^2 2.Prove that the normal to the parabola y^2 = 4ax at (am^2, ...

Consider a parabola y=\frac{x^{2}}{4} and the point F (0, 1). Let A1(x1, y1), A2(x2, y2), A3(x3, y3),........, An(xn, yn) are 'n' points on the parabola such xk > 0 and <OFA_{k}=\frac{k\Pi }{2n} (k=1,2,3,....,n) . Then ...

If G is the centroid and I the in-centre of the triangle, with vertices A(-36,7), B(20,7) and C(0,-8), then, find the value of GI. ...

A point moves such that the sum of the squares of its distances from two intersecting straight lines is constant. a)identify which conic it is b)find the eccentricity of the conic in terms of the angle between the straight li ...

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 ...

re^{-r/2}cos\theta =constant where r is the radial distance of the point from origin and theta is the colatitude (angle btw the radial vector and the one pointing towards the z coordinate of the point)) ...

show thet the length of the radius vector of the ellipse x2/a2 + y2/b2 =1 drawn in the direction making an angle θ with the positive directtion of x-axis is √( a2b2/b2cos2θ+a2sinθ ) Also show that the sum of the reciproc ...