Consider the curves `x^2 + y^2 = 1` and `2x^2 + 2xy + y^2 - 2x - 2y = 0`. These curves intersect at two points `(1,0)` and `(alpha,beta)`. Find `5 (alpha + beta)`.

consider two curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 these two curves intersect at four cocyclic points then find out a

consider two curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 these two curves intersect at four cocyclic points then find out a

consider two curves ax^(2)+4xy+2y^(2)+x+y+5=0 and ax^(2)+6xy+5y^(2)+2x+3y+8=0 these two curves intersect at four cocyclic points then find out a

The graph of the equations 5x- 2y + 1 = 0 and 4y- 3x +5 =0, intersect at the point P(alpha,beta) . What is the value of (2 alpha- 3 beta) ?

Consider the curves y^(2) = x and x^(2) = y . (i) Find the points of intersection of these two curves. (ii) Find the area between these two curves.

Find the angle of intersection of the curves: x^2+y^2-4x-1=0 and x^2+y^2 - 2y - 9 =0

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x=5y+2=0 The point of intersection of line is (alpha, beta) , then the value of alpha^2+beta^2 is

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x-5y+2=0 The point of intersection of line is (alpha, beta) , then the value of alpha^2+beta^2 is

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x=5y+2=0 The point of intersection of line is (alpha, beta) , then the value of alpha^2+beta^2 is

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x=5y+2=0 The point of intersection of line is (alpha, beta) , then the value of alpha^2+beta^2 is