Recently Active Co Ordinate Geometry Questions

If the tangent drawn at a point (t2,2t) on the parabola y2=4x is tha same as the normal drawn at a point(√5cosφ, 2sinφ) in the ellipse 4x2+5y2=20, find the values of t & φ. ...

1) ___ let P be any moving point on the circle x2+y2-2x=1 AB be the chord of contact of this point wrt the circle x2+y2-2x=0. find the locus of the circumcenter of the traingle CAB(C being the centre of circles) P.S - give an ...

how to find the area of a equilateral tiangle inscribed in a circle. and how to find the other end of a diameter if the equation of the diameter is given and one end point is given.plz help!!! ...

From the point (2, 5) rays of light are sent at 600 with the line 2x + y = 1. Find the equations of lines of reflected rays if the rays reflect from 2x + y = 1. ...

Ques) If x/ p + y/q = 1 touches the circle x2 + y2 = a2 , then the point (1 / p , 1/q) lies on a /an (a) Straight line (b) Circle (c) Parabola (d)Ellipse ...

Ques) A circle circumscribing an equilateral triangle with centroid (0,0) of a side a is drawn and a square is drawn touching its four sides to circle. Then find the eqn of circle circumscribing the square. ...

Find the equation of the circle of minimum radius which contains the 3 circles. x2 + y2 - 4y - 5 = 0, x2 + y2 + 12x + 4y + 31 = 0, x2 + y2 + 6x + 12y + 36 = 0, ...

Evaluate Σp=132 (3p+2)[Σq=110{sin(2qΠ/11)- icos(2qΠ/11)]p ...

Find the focus of the parabola : x2+y2+2xy-6x-2y+3 = 0 Ans : (1,1) ...

Find the range of values of λ for which the variable line 3x+4y - λ=0 lies between the circles: x2+y2 - 2x - 2y +1=0 x2+y2 - 18x - 2y +78 = 0 without intercepting a chord on either circle. ...

The coordinates of the point on the parabola y2 = 8x , which is at mininmum distance from circle x2 + (y-6)2 = 1 are (A) (2,-4) (B) (18,12) (C) (2,4) (D) none ...

A circle S=0 passes thru the common pts of intersection of family of circles x^2+y^2+λx-4y+3=0 & have min area then (A) area of S=0 is Πsq units (B) radius of director circle of S=0 is 2 (C) length of intercept made by S=0 ...

prove that the straight lines ax+(b+c)y+d=0,bx+(c+a)y+d=0 and cx+(a+b)y+d=0 are concurrent? ...

find the magnitude of the angle which the line y=-x makes with the positive direction of the x-axis? ...

find the condition that the lines xcosα+ysinα=p,xcosβ+ysinβ=q and y=xtanθ may be concurrent? ...

if ab+bc+ca=0,show that the lines x/a+y/b=1/c, x/b+y/c=1/a, and x/c+y/a=1/b are concurrent? ...

find the area of the triangle which the straight line 3x+4y-12=0forms with the co-ordinate axes? ...

find the co-ordinates of the foot of the perpendicular drawn from the point (2,-5) on the straight line x=y+1 ? ...

show that the equation of the straight line passing through (acos3θ,asin3θ) and perpendicular to the straight line xsecθ+ycosecθ=a is xcosθ-ysinθ=acos2θ ? ...

a straight line AB intersects the y-axis at B and the perpendicular to AB at B intersects the x-axis at C.If the equation of the straight line AB is x/3-y/4=-1 find the co-ordinates of the point C ? ...

if the co-ordinates of the points P,Q,R are respectively (-7,5),(3,8),(-5,13) and if RN is perpendicular to PQ and RT parallel to PQ, find the equations of RN and RT ? ...

In a triangle with BC = 3 & AC = 4 & circle with AB as diameter passes thru the centroid of a triangle then AB is (A) 5 (B) 5 (C) 3 (D) None ...

1)LET C1 and C2be two parabola x2=y-1 and y2=x-1.let p be any point on c1 and Q be any pont on C2. P' and Q' are the reflection of P and Q respectively w.r.t y=x line then proove: !)Prove PQ>min(PP',QQ') 2)hence determine ...

If three normals are drawn from pt. (p,0) to parabola y2=x then p > 2a where a=1/4. True or false. and reason ?? ...

Can anyone please tell me what is a common normal between 2 curves and most important : How does a common normal between two parabolas look like ???? ...

Can anyone please tell me what is a common normal between 2 curves and most important : How does a common normal between two parabolas look like ???? ...

Normal at 3 points P,Q,R of parabola y^2=4x meet at A and SP\cdot SQ\cdot SR=\alpha SA^2 . If S is the focus of the parabola find the value of \alpha . ...

*Image* Join NP and say with reason what is the figure MNPO ??? ...

I know this is an easy one, but don't know why I am not getting the right answer. The extremeties of a diagnol of rectangle are (-4,4) and (6,-1). A circle circumscribes the rectangle and cuts an intercept AB on the y-axis. T ...

Ques) Suppose f(x,y) = 0 is the equation of the circle such that f(x,1) = 0 has equal roots (Each equals to 2) and f(1,x) = 0 also has equal roots (Each equals to 0 ). Then find the equation of the circle. ...