" 13."(2)/((1-x)(1+x^(2)))

If the equation ((x)/(1+x^(2)))^(2)+a((x)/(1+x^(2)))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/(2),0) (b) (oo,-(13)/(2))((-13)/(2),(13)/(2))(d)((13)/(2),oo)

If int x^((2)/(3))(1+x^((1)/(2)))^(-(13)/(3))dx=(a)/(b)(1+x^(-(1)/(2)))^(-(10)/(3))+C , then b-a=

If x+(1)/(x)=13 , then the value of x^(2)+(1)/(x^(2)) is:

Find the minimum value of (x_(1)-x_(2))^(2)+((x_(1)^(2))/(20)-sqrt((17-x_(2))(x_(2)-13)))^(2) where x_(1)in R^(+),x_(2)in(13,17)

The value of a for which (13x-1)^(2)+(13y-2)^(2)=(a^(2)-1)(5x+12y-1)^(2) repesents an ellipse is

If x^(2)+(1)/(x^(2))=102, then x-(1)/(x)=8( b) 10 (c) 12 (d) 13

The set of values of a for which (13x-1)^(2)+(13y-2)^(2)=a(5x+12y-1)^(2) represents an ellipse is

If log_(2)(x^(2)+1)+log_(13)(x^(2)+1)=log_(2)(x^(2)+1)log_(13)(x^(2)+1)*(x!=0) then log_(7)(x^(2)+24) is equal to

Find the minimum value of (x_1-x_2)^2+((x_1^2)/20-sqrt((17-x_2)(x_2-13)))^2 where x_1 in R^+,x_2 in (13,17) .