Recently Active Miscellaneous Questions

For what values of k point (k,-1) lies inside the ellipse x2/18+y2/9=1 ...

For the ellipse x2/9+y2/4=1, find the eccentric angle of a point whose distance from centre is 4√(3/7) ...

One of the focal distance of a point of the ellipse x2/9+y2/4=1 is 1 unit, find the other focal distance of the point ...

Find the coordinates of the foci of of the ellipse 9x2+16y2=1 ...

If minor-axis of an ellipse (x2/a2)+(y2/b2)=1 subtend an angle of 60° at its focus the find the eccentricity of the ellipse ...

Find the eqn. of the ellipse whose focus is origin and directrix is x=3 and eccentricity is 1/2 ...

Eqn. of chord of contact whose middle point is (2,1) of the parabola y2=8x is ...

Eqn. of chord of contact of tangents drawn from point (-1,1) to parabola y2=2x is ...

The line y=x+3 intersects/touches parabola y2=12x at ...

Normal at point (1,2) on parabola y2=4x cuts it again at point ...

Tangent to the parabola y2=9x at point (1,3) passes through point ...

Find the length of focal chord of the parabola y2=4x whose one end is (4,4) ...

For what values of k, point (1,7-k) lies inside the parabola y2=4x ...

Find the parametric eqn. of the above parabola ...

Find the focus of the parabola 9y2-72x-42y+169=0 ...

The parabola whose focus is (1,0) and the directrix is x+3=0 intersects y-axis at y= ...

The chord of the circle x2+y2=4 which is bisected at point (1,1) crosses y-axis at y= ...

The chord of contact of the tangents drawn from point (1,2) to the circle x2+y2-2x+4y+7=0 intersect x-axis at x= ...

Find the length of the tangent drawn from point (2,2) to the circle x2+y2+4x+4y+4=0 ...

Find eqn. of normal to circle x2+y2+2x+4y+3=0 at point (-2,-3) ...

Eqn. of tangent to the circle x2+y2-30x+6y+109=0 at (4,-1) passes through the point ...

For what value of c, will the line 4x+7y=c will be tangent to the circle x2+y2+4x+6y+13=0 ...

Find the intercepts made by the circle x2+y2-12x-10y+20=0 on coordinate axes. ...

Find the eqn. of the circle, coordinate of the end points of whose diameter are (2,1) and (4,2). ...

Find the centre and radius of the circle whose eqn. is x2+y2+8x+-6y+24=0 ...

Find eqn. of the circle whose centre (1,1) and passing through (1,-1). ...

Find the eqn. of line whose intercepts on the axes are roots of the eqn. 2x2-13x+15=0. Also intercept on x-axis > intercept on y-axis. ...

Find the eqn. of line passing through origin and midpoint of line joining points (3,5) and (7,9). ...

Find the eqn. of line which cuts of an intercept of length 2 on x-axis and is perpendicular to the line x+2y-5=0. ...

Find the eqn. of the perpendicular bisector of the line segment joining points (2,3) and (6,-5). ...