Through the focus of the parabola `y^2=2px(p gt0)` a line is drawn which intersects the curve at `A(x_1,y_1) & B(x_2,y_2)`. Then `(-y_1y_2)/(x_1x_2)` equals:

Through the focus of the parabola y^2=2px(p gt0) a line is drawn which intersects the curve at A(x_1,y_1) & B(x_2,y_2) . The ratio (y_1y_2)/(x_1x_2) equals:

Through the focus of the parabola y^(2)=2px(p>0) a line is drawn which intersects the curve at A(x_(1),y_(1)) and B(x_(2),y_(2)). The ratio (y_(1)y_(2))/(x_(1)x_(2)) equals.-

If a straight line pasing through the focus of the parabola y^(2) = 4ax intersects the parabola at the points (x_(1), y_(1)) and (x_(2) , y_(2)) then prove that y_(1)y_(2)+4x_(1)x_(2)=0 .

If a straight line passing through the focus of the parabola y^(2) = 4ax intersectts the parabola at the points (x_(1), y_(1)) and (x_(2), y_(2)) , then prove that x_(1)x_(2)=a^(2) .

If a straight line passing through the focus of the parabola x ^(2) =4ay intersects the parabola at the points (x_(1) , y_(1)) and (x_(2), y_(2)) then the value of x_(1)x_(2) is-

Show that the equation of the chord of the parabola y^2 = 4ax through the points (x_1, y_1) and (x_2, y_2) on it is : (y-y_1) (y-y_2) = y^2 - 4ax

Show that the equation of the chord of the parabola y^2 = 4ax through the points (x_1, y_1) and (x_2, y_2) on it is : (y-y_1) (y-y_2) = y^2 - 4ax

Does there exists line/lines which is/are tangent to the curve y=sinx at (x_1, y_1) and normal to the curve at (x_2, y_2)?

The coordinates of the ends of a focal chord of the parabola y^2=4a x are (x_1, y_1) and (x_2, y_2) . Then find the value of x_1x_2+y_1y_2 .

The coordinates of the ends of a focal chord of the parabola y^2=4a x are (x_1, y_1) and (x_2, y_2) . Then find the value of x_1x_2+y_1y_2 .