If`x^(2)+y^(2)=4 and a^(2)+b^(2)=9` then

x^(2)+y^(2)=984a^(2)+9b^(2)=16, then maximum value of 4a^(2)x^(2)+9b^(2)y^(2)-12abxy is -

If x-y=1 and x^(2)+y^(2)=41, then the value of x+y will be (a)5 or 4(b)-5 or -4 (c) +-9(d)+-1

For all real values of m, the straight line y=mx+sqrt(9m^(2)-4) is a tangent to which of the following certain hyperbolas? (a) 9x^(2)+4y^(2)=36 (b) 4x^(2)+9y^(2)=36 (c) 9x^(2)-4y^(2)=36 (d) 4x^(2)-9y^(2)=36

The number of common tangents to x^(2)+y^(2)=4,(x-3)^(2)+(y-4)^(2)=9 is

The number of common tangents to x^(2)+y^(2)=4,(x-3)^(2)+(y-4)^(2)=9 is

The locus of the point of intersection of the tangents at the extremities of the chords of the ellipse x^(2)+2y^(2)=6 which touch the ellipse x^(2)+4y^(2)=4, is x^(2)+y^(2)=4(b)x^(2)+y^(2)=6x^(2)+y^(2)=9(d) None of these

If A={x,y):x^(2)+y^(2)=25} and B={(x,y):x^(2)+9y^(2)=144}, then A cap B contains

If A={x,y):x^(2)+y^(2)=25} and B={(x,y):x^(2)+9y^(2)=144}, then A cap B contains

If A={x,y):x^(2)+y^(2)=25} and B={(x,y):x^(2)+9y^(2)=144}, then A cap B contains

If 4 x^(2) + 9y^(2) + z^(2) + 49 = 12 ( x+ y + z) , then what is the value of (4x + 9y - z) ?