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

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 :

Find the point of intersection of the line 5x+7y=3 and 2x-3y=7

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 line 5x+4y=0 passes through the point of intersection of straight lines (1)x+2y-10=0,2x+y=-5

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

A line passes through the point of intersection of 2x+y=5 and x+3y+8=0 and paralled to the 3x+4y=7 is

If the straight line (x)/(a)+(y)/(b)=1 passes through the line point of intersection of the lines x+y=3 and 2x-3y=1 and is parallel to x-y-6=0, find a and b

If a line passes through the point of intersection of the lines 2x+y=5,x-y=1 and having slope 2 then it also passes through the point

Find the equation of a line passing through the point of intersection of the lines 2x-7y+11=0 and x+3y=8 and passes through the point (2,-3) .