The locus a point `P(alpha,beta)` moving under the condition that the line `y=alphax+beta` is a tangent to the hyperbola `x^2/a^2-y^2/b^2=1` is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle

The locus a point P(alpha,beta) moving under the condition that the line y=alpha x+beta is a tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle

The locus of a point P(alpha beta) moving under the condition that the line y=alphax+beta is a tangent to the parabola y^(2)=4ax is

The locus of a point P(alpha, beta) moving under the condition that the line y=ax+beta moving under the condtion that the line y=alphax+beta is a tangent to the hyperbola (x^(2))/(1)-(y^(2))/(b^(2))=1 is a conic, with eccentricity equal to

Line xcos alpha +y sin alpha =p is a normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , if

The locus of the mid points of the chords passing through a fixed point (alpha, beta) of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is

The locus of a point whose chord of contact with respect to the circle x^(2)+y^(2)=4 is a tangent to the hyperbola xy=1 is a/an (a)ellipse (b) circle (c)hyperbola (d) parabola

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , is