If `4x+3y-12=0` touches `(x-p)^(2)+(y-p)^(2)=p^(2)`, then the sum of all the possible values of p is

Let P(x)=x^(2)-cx-c. If P(x) is divided by (x-2), the remainder is the same as when (P(x))^(2) is divided by (x-2), then the sum of all possible values of c, is :

Let P(x)=x^(2)-cx-c. If P(x) is divided by (x-2), the remainder is the same as when (P(x))^(2) is divided by (x-2), then the sum of all possible values of c, is :

If the point (3,4) lies inside and the point (-3,-4) lies outside the circle x ^(2) + y ^(2) - 7x +5y -p=0, then the set of all possible values of p is

If x^(2) + 2px - 2p + 8 gt 0 for all real values of x, then the set of all possible values of p is

If a point (1,4) lies inside the circle x^(2) +y^(2) - 6x -10 y +p=0 and the circle does not touch or intersect the coordinate axes , then the set of all possible values of p is the interval.

Let f be a function defined from R rarr R as f(x)={ x+p^(2) x 2} If f(x) is surjective function then sum of all possible integral values of p for p in [0 ,10] is

Let PQRS be a square with the vertices P,Q lying on the curve C_(1):y=x^(2) and R, s lying on the curve C_(2):y=x+8. If the coordinates of P and Q be represented by (x_(1),y_(1)) and (x_(2),y_(2)), then algebraic sum of all possible abscissae of P is:

If x^(2)+y^(2)=1 and P=(3x-4x^(3))^(2)+(3y-4y^(3))^(2) then P is equal to

If the lines p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q=0 are perpendicular to the same line, then the value of p is

Let P(x)=x^(2)+2(a^(2)+a+1)x+a^(2)+5a+2 If minimum value of P(x) for x<=0 is 8, thernthe sum ofthe squares of all possible value(s)of a,is