The hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` passes through the point (4,2) and the length of its latus rectum is `(4)/(3)` the angle between its asymptotes is

The line 2y=3x+12 cuts the parabola 4y=3x^(2) . The hyperbola x^(2)/a^(2)+y^(2)/b^(2)=1 passes through the point (3sqrt5,1) and the length of its latus rectum is 4/3 units. The length of the conjugate axis is

If the parabola y^(2)=4ax passes through the point (3,2) then find the length of its latus rectum.

If the probola y^(2) = 4ax passes through (-3, 2), then length of its latus rectum is

The parabola x^(2)+2py=0 passes through the point (4,-2); find the co-ordinates of focus and the length of latus rectum.

The hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 passes through the point of intersection of the lines x-3sqrt(5)y=0 and sqrt(5)x-2y=13 and the length of its latus rectum is (4)/(3) units.The coordinates of its focus are

The hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 passes through the point of intersection of the lines,7x+13y-87=0&5x-8y+7=0 & the latus rectum is 32(sqrt(2))/(5). The value of 2(a^(2)+b^(2)) is :

The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, ) and has the eccentricity 2. Then the transverse axis of the hyperbola has the length 1 (b) 3 (c) 2 (d) 4

The length of the latus rectum of 3x^(2) - 2y^(2) =6 is

Area bounded by y^(2)=-4x and its latus rectum is