let`p(x)=4x^2+6x+4` and `q(y)=4y^2-12Y+25`. Find the unique pairs of real numbers x and y such that` P(x).Q(y)=28`

P(x)=(5)/(3)-6x-9x^(2) and Q(y)=-4y^(2)+4y+(13)/(2) if there exists unique pair of real numbers (x,y) such that P(x)Q(y)=20, then the value of (6x+10y) is

Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists unique pair of real numbers (x , y) such that P(x)Q(y)=20 , then the value of (6x+10 y) is _____.

Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists unique pair of real numbers (x , y) such that P(x)Q(y)=20 , then the value of (6x+10 y) is _____.

Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists unique pair of real numbers (x , y) such that P(x)Q(y)=20 , then the value of (6x+10 y) is _____.

If x^(2)+y^(2)+6x-4y-12=0 then find the ragne of 2x+y

If x^(2)+y^(2)+6x-4y-12=0 then find the ragne of 2x+y

If x^(2)+y^(2)+6x-4y-12=0 then find the ragne of 2x+y

If the ordered pairs (x^(2) - 3x, y^(2) + 4y ) and (-2,5) are equal , then find x and y .

Find the relation between p and q if x = 3 and y = 1 is the solution of the pair of equations x-4y+p=0" and " 3x+y-q-2=0 .

If normal of circle x^(2)+y^(2)+6x+8y+9=0 intersect the parabola y^(2)=4x at P and Q then find the locus of point of intersection of tangent's at P and Q.