16.1quad 4x^(2)+46x-(a^(2)-b^(2))=0

If a tangent of slope 2 of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is the normal to the circle x^(2)+y^(2)+4x+1=0 then the maximum value of a.b is equal to

|x^(2)-5x+32x-53x^(2)+x+46x+197x^(2)-6x+914x-621=ax^(3)+bx^(2)+cx+d then which of the following are correct? (a) a=0 (b) b=0(cc=0 (d) d=0

The biquadratic equation, two of whose roots are 1+i , 1-sqrt(2) is A) x^(4)-4x^(3)+5x^(2)-2x-2=0 B) x^(4)-4x^(3)-5x^(2)+2x+2=0 C) x^(4)+4x^(3)-5x^(2)+2x-2=0 D) x^(4)+4x^(3)+5x^(2)-2x+2=0

If a, b,c , d are the roots of the equation : x^(4) + 2x^(3) + 3x^(2) + 4x + 5 = 0 , then 1 + a^(2) + b^(2) + c^(2) + d^(2) is equal to :

0.1^(4x^(2)-2x-2)<=0.1^(2x-3)