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 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

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

Find the intervals of the values of a for which the line y+x=0 bisects two chords drawn from the point ((1+sqrt(2)a)/2,(1-sqrt(2)a)/2) to the circle 2x^2+2y^2-(1+sqrt(2)a)x-(1-sqrt(2)a)y=0

Find the condition on a and b for which two distinct chords of the hyperbola (x^2)/(2a^2)-(y^2)/(2b^2)=1 passing through (a , b) are bisected by the line x+y=b .

Find the middle point of the chord intercepted on the line 2x-y+3 =0 by the ellipse x^2/10 + y^2/6 = 1

If two distinct chords, drawn from the point (p,q) on the circle x^(2)+y^(2)=px+qy, where pq!=0 are bisected by x-axis then show that p^(2)gt8q^(2) .