Recently Active Co Ordinate Geometry Questions

In triangle ABC the coordinates of the vertex A are (4,-1) and the lines x-y-1=0 and 2x -y = 3 are internal bisectors of angles B and C then , radius of incircle of triangle ABC is ...

Find the length of the chord of the ellipse x2/25 + y2/16 = 1 , whose middle point is ( 1/2 , 2/5 ) . ...

1. Two rods of lengths a and b side along coordinate axis in a manner that their ends are always concyclic. Find the locus of the centre of the circle passing throw these ends. 2.The base of a triangle passes throw a fixed po ...

*Image* *Image* Prove it from both Sides : 1. Co ordinate Geometry 2 . Euclidean Geometry (Normal Geometry) Separately ...

Find the values of x; y for which x2 + y2 takes the minimum valuewhere (x + 5)2 + (y-12)2 = 142. ...

1)Find the equation to the straight line which passes through the given point (x',y') and is such that the given point bisects the part intercepted between the axes. 2) Find the eauation to the straight line which passes thro ...

The question in which I am having a problem is as follows: Prove that the point on the curve y2=x,at which a tangent makes an angle of 450 with the x-axis is ( 1/4 , 1/2 ) My doubt: If we find the equation of a tangent at the ...

1.The equation of the parabola whose vertex is origin, axis is along y-axis and which passes through the point (2,1) is 2.The vertex and focus of a parabola are at a distance are at a distance of h and k units on positive x-a ...

Find out the coordinates of the extremities of the latus rectum of the parabola x2+y2-16x-16y+2xy+32=0. ...

What is the diameter of a parabola?? ...

A & B are fixed points. The vertex C of triangle ABC moves such that cot a + cot b=constant. The locus of C is a straight line a> perpndicular to AB. b> parallel to AB. c> inclined at angle(A-B) to B. d> none of t ...

Find the eq. of the circle which passes through the points (2,0) and (0,2) and orthogonal to the circle 2x2+2y2+5x-6y+4=0 ...

Find the eq. of the circle which cuts orthogonally the circle x2+y2-4x+2y-7=0 having the centre at (2,3) I tried to use the relation d2=r12+r22 but then i got a quadratic eq. which was really wrong. Help me. ...

Find the eq. of the circle which passes through (1,1) and cuts orthogonally x2 + y2-8x-2y+16=0 and x2+y2-4x-4y-1=0 Previously i did a similar kind of sum for a circle which passed through (0,0) so there was no constant term i ...

Find the range of values of K for which the straight line y=2x+K lies between the circles x2+y2-16x-2y+61=0 and x2+y2-2x-2y+1=0. ...

Find th eq. of the locus of the point which moves such that its distance frm x-y+1+0 is twice its distance from x+y+6=0. ...

Find the equation of the bisector of the angle between 4x+y-7=0 and x-4y+3=0 which contains the origin. ...

the portion of a line intercepted between the co-ordination axes is bisected at (3,-2) find the equation of the line. ...

Let the sides of a triangle ABC are all integers with A as the origin. If (2,-1) and (3,6) are points on the line AB and AC respectively(lines AB andAC may be extended to contain these points),and lengths of any two sides are ...

The equation to the pairs of opposite sides of a parallelogram are x2 – 5x + 6 = 0 and y2 – 6y + 5. Find the equations of its diagonals. ...

Find the angle subtended by the double ordinate of length 2a of the parabola y2 = ax at its vertex ...

The point (–4, 5) is the vertex of a square and one of its diagonals is 7x – y + 8 = 0. The equation of the other diagonal is (A) 7x – y + 23 = 0 (B) 7y + x = 30 (C) 7y + x = 31 (D) x – 7y = 30 ...

Prove that from a point (a,b) of the circle x(x-a) + y(y-b) = 0, two chords, each bisected by the axis of x, can be drawn if a2>8b2 ...

If C is a point on the line segment joining A (–3, 4) and B (2, 1) such that AC = 2BC, then the coordinate of C is ...

The angle between the lines joining the foci of an ellipse to one particular extremity of the minor axis is 90º. The eccentricity of the ellipse is ...

A train moving with constant acceleration takes t seconds to pass a certain fixed point and the front and back end of the train pass the fixed point with velocities u and v respectively. Show that the length of the trai is (u ...

If a, b, c are real, then both the roots of the equation (x – b) (x – c) + (x – c) (x – a) + (x – a) (x – b) = 0 are always (A) positive (B) negative (C) real (D) imaginary ...

A polygon has 44 diagonals. The number of its sides is (A) 10 (B) 11 (C) 12 (D) 13 ...

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.....?? ...

A circle of radius 1 rolls ( without sliding ) along the x -axis so that its centre is of the form (t , 1 ) with t increasing. A certain point P touches the x-axis at the origin as the circle rolls. As the circle rolls furthe ...