If the tangent at point P(h, k) on the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` cuts the circle `x^(2)+y^(2)=a^(2)` at points `Q(x_(1),y_(1))` and `R(x_(2),y_(2))`, then the vlaue of `(1)/(y_(1))+(1)/(y_(2))` is

If the tangent at point P(h, k) on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 cuts the circle x^(2)+y^(2)=a^(2) at points Q(x_(1),y_(1)) and R(x_(2),y_(2)) , then the value of (1)/(y_(1))+(1)/(y_(2)) is

The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point ( x_(1),y_(1)) is-

If the tangent at the point (h,k) to (x^2)/(a^2)+(y^2)/(b^2)=1 meets the circle x^2+y^2=a^2 at (x_1,y_1)" and "(x_2,y_2) , then y_1,k,y_2 are in

The line y=mx+1 touches the curves y=-x^(4)+2x^(2)+x at two points P(x_(1),y_(1)) and Q(x_(2),y_(2)) . The value of x_(1)^(2)+x_(2)^(2)+y_(1)^(2)+y_(2)^(2) is

The line y=mx+1 touches the curves y=0x^(4)+2x^(2)+x at two points P(x_(1),y_(1)) and Q(x_(2),y_(2)) . The value of x_(1)^(2)+x_(2)^(2)+y_(1)^(2)+y_(2)^(2) is

The line y=mx+1 touches the curves y=-x^(4)+2x^(2)+x at two points P(x_(1),y_(1)) and Q(x_(2),y_(2)) . The value of x_(1)^(2)+x_(2)^(2)+y_(1)^(2)+y_(2)^(2) is

[" If the tangent at the point "(h,k)" on "],[" the hyperbola "(x^(2))/(a^(2))-(y^(2))/(b^(2))=1" meets the "],[" auxiliary circle of the hyperbola "],[" in two points whose ordinates "],[y_(1),y_(2)" then "(1)/(y_(1))+(1)/(y_(2))=]

The distance between two points p(x_(1),y_(1)) and q(x_(2),y_(2)) is given be :