Recently Active Co Ordinate Geometry Questions

hw do we calculate minimum distance btwn two given curves? ...

Let AB be a fixed chord passing through the focus of a parabola. how many circles can be drawn which touch the parabola and AB at the focus ...

let ABC be an acute angled triangle whose orthocentre at H. altitude from A is produced to meet circumcircle of the triangle ABC at D. then the distance HD is.....?? ...

P is an external point of the circle S=0 , n number of transversals are drawn from P to meet the circle S=0 in n pairs of points say (A1B1)(A2B2)......(AnBn) and power of the point P with respect to the circle S=0 is k then t ...

in triangle ABC , the incentre is I(1,0). equations of the lines AI , BI, CI are given by x=1 , y+1=x , x+3y=1 respectivly. and cot(A/2)=2 1) eqn of locus of centroid of ΔABC is....... 2) slope of BC is........ 3) if pt.A li ...

the centres of two circles C1 and C2 each of unit radius are at a distance 6 units from each other. let P be the midpoint of the line segment joining the centres of C1 and C2 and C be a circle touching circles C1 and C2 exter ...

1) Any ordinate NP of an ellipse meets the auxiliary circle at Q.Then locus of the intersection of the normals at P and Q is ?? 2)AB is a double ordinate of the parabola y2=4ax .Tangents drawn to the parabola at A and B meet ...

1) The line Ax+By+C=0 cuts the x-axis at P and y - axis at Q.Find the co-ordinates of the ortho-centre,centroid and circumcentre of the triangle OPQ ? 2)What is the nature of the locus repesented by the equation (x-y+c)2+(x+y ...

A rectangular Hyperbola is drawn thru the point of intersection of the circle x2+y2+2gx+2fy+c=0 & the pair of straight lines ax2 + by2+ 2hxy=0. If the hyperbola cuts x axis at A & B & the y-axis at C & D . The equation of the ...

C1=y2=4ax C2:the curve obtained by rotating the C1 120° in anti-clokwise direction C3: refllection of c2 wrt y=x S1 and s2 ,s3..are focus of the curves Q1.find the parametric eqn of C2 Q2.area of ΔOS2S3 Q3. AREA BOUNDED BY ...

(1) In a sequence of circles C1, C2, C3, ....... Cn ; the centres lie along positive x-axis with abscissae forming an arithmetic sequence of first term unity and common difference 3. The radius of these circles are in geometr ...

let each of circles S1≡x2+y2+4y-1=0 S2≡x2+y2+6x+y+8=0 S3≡x2+y2-4x-4y-37=0 touches the other two. let P1,P2,P3 be the point of contact of S1 and S2, S2 and S3, S3 and S1 respectively. let T be the point of concurrence of ...

Consider a parabola Y=X2/4 and d 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 angle OFAk= \frac{k\Pi }{2n} (k=1,2,3...n).Then find d value of \lim_{n\ri ...

The locus of the mid-point of the line segment joining the focus to a moving point on the parabola y2 = 4ax is another parabola with directrix : ? [Show your working...I've found the midpoint of the segment in terms of parame ...

how to find the locus of a point P outside a circle, when the angle between the tangets frm that point to the circle is given...??? plz giv me the entire algorithm... ...

P (3,1), Q (6,5) and R(x,y) are three points such that the angle PRQ is a right angle and the area of PRQ is 7, then the number of such points R is...???? Please give a detailed solution. ...

An ellipse is described using an endless string which is passed over two pins.If the axes are 6 cm and 4 cm,the necessary length of the string and distance between them in cm are ??? Ans.6,2 5 ...

1-The point on the ellipse x2+2y2=6 closest to line x+y=7 is------ 2.Eccentricity of ellipse ax2+bx2+2fx+2gy+c=0,if major axis is parallel to -x axis is__ Ans. (b-a)/b 3.Tangents are drawn from the points on the line x-y-5=0, ...

An ellipse has OB as semi minor axis , F,F' are its foci, and the angle FBF' is a right angle.Then eccentricity of the ellipse is ....... pls explain ...

The angle between pair of tangents drawn to the curve 7x2- – 12y2 = 84 from M(1, 2) is a) 2tan-1 1/2 b) 2tan-12 c) 2(tan-11/3 + tan-1 1/2) d) 2tan-1 3 ...

Find the value of k so that the function f(x) = kx + 1, if x ≤ π = cos x, if x ≥ π Is continuous at x = π. ...

find the point inside the traingle such that sum of squares of the distances of that point from vertices of triangle is minimum i hav read somewer its centriod is it correct? if correct how u prove it? ...

If two circles passing through the point (0,a) and (0,-a),cut each other orthogonally and touch the straight ine y=mx+c then------- Prove---c2=a2(2+m2) ...

If (x1,y1) and (x2,y2) be the two vertices of an equilatera triangle then the third vertex is x=( (x1+x2)+ 3 (y2-y1)) / 2) y=( (y1+y2)+ 3 (x1-x2)) / 2) Can someone give me he proof for this theorem?plz ...

The shortest normal chord of the parabola y2 = 4ax is a) 3 a (b) 2 3 a (c) 3 3 a (d) 6 3 a ...

A triangle ABC with vertices A(-1,0) B(-2, 3/4) C(-3, -7/6) has its orthocentre at H. Then the orthocentre of triangle BCH will be A) (-3,-2) B) (1,3) C) (-1,2) D) None of these ...

The normal at a point P on the ellipse x2 + 4y2 = 16 meets the x-axis at Q.If M is the mid point of the line segment PQ, then the locus of M intersects the latus rectum of the given ellipse at the points A) \left(\pm \frac{3\ ...

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