Find the points of intersection of the two hyperbolas `x^2/4-y^2/16=1` and `(x-1)^2/2-y^2/4=1`

Number of points of intersection of the hyperbolas x^(2)-2x-y^(2)+4y-4=0 and x^(2)-2x-y^(2)+4y-2=0 is/are

Find the point of intersection of the line, x/3 - y/4 = 0 and x/2 + y/3 = 1

Find the point of intersection of the lines (x-1)/2=(y-3)/3=(z-2)/2 and (x-4)/(-1)=(y-2)/4=(z-8)/(-4) .

Find the locus of the points of intersection of two tangents to a hyperbola x^(2)/ 25 - y^(2)/ 16 = 1 if sum of their slope is constant a .

The range of a for which a circle will pass through the points of intersection of the hyperbola x^(2)-y^(2)=a^(2) and the parabola y=x^(2) is (A)(-3,-2)(B)[-1,1] (C) (2,4)(D)(4,6)

Find the equation of normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 at (-4,0)

Find the position of the point (5, -4) relative to the hyperbola 9x^(2)-y^(2)=1 .

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 , is