Find the values of `a` for which three distinct chords drawn from `(a ,0)` to the ellipse `x^2+2y^2=1` are bisected by the parabola `y^2=4xdot`

The number of chords drawn from point (a, a) on the circle x^(2)+y"^(2)=2a^(2) , which are bisected by the parabola y^(2)=4ax , is

If we can draw three real and distinct chords from (alpha,0),a>0 the circle x^(2)+y^(2)=a^(2) which are bisected by the parabola y^(2)=4ax a >0, then

If the set of 'K' for which two distinct chords of the ellipse (x^(2))/8+(y^(2))/2=1 passing through (2,-1) are bisected by the line x+y=K is [a,b] then (a+b) is…………

Statement 1 the condition on a and b for which two distinct chords of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=2 passing through (a,-b) are bisected by the line x+y=b is a^(2)+6ab-7b^(2)gt0 . Statement 2 Equation of chord of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 whose mid-point (x_1,y_1) is T=S_1

Find the number of distinct normals that can be drawn from (-2,1) to the parabola y^(2)-4x-2y-3=0

The equation of the chord of the ellipse 2x^(2)+5y^(2)=20 which is bisected at the point (2,1) is