Consider the curve `C_(1):x^(2)-y^(2)=1` and `C_(2):y^(2)=4x` then ,The number of lines which are normal to `C_(2)` and tangent to `C_(1)` is

Consider the curve C_(1):x^(2)-y^(2)=1 and C_(2):y^(2)=4x then The point of intersection of directrix of the curve C_(2) with C_(1)

Consider the two curves C_(1);y^(2)=4x,C_(2)x^(2)+y^(2)-6x+1=0 then :

From the point A, common tangents are drawn to the curve C_(1):x^(2)+y^(2)=8 and C_(2):y^(2)=16x. The y- intercept of common tangent between C_(1) and C_(2) having negative gradients,is

Consider the curves C_(1) = y - 4x + x^(2) = 0 and C_(2) = y - x^(2) + x = 0 The raio in which the line y = x divide the area of the region bounded by the curves C_(1) = 0 and C_(2) = 0 is

Consider the curves C_(1) = y - 4x + x^(2) = 0 and C_(2) = y - x^(2) + x = 0 The ratio in which the x-axis divide the area of the region bounded by the curves C_(1) = 0 and C_(2) = 0 is