(k-12)x^(2)+2(k-12)x+2=0

x^(2)-2kx+7k-12=0

If the equation x^(2) + 2 (k+3) x +12k=0 has equal roots, then k=

If the sum of the zeroes of the polynomial p(x)=(k^(2)-14)x^(2)-2x-12 is 1 ,then value of k is

Find the values of k for which roots of the following equations are real and equal: (i) 12x^(2)+4kx+3=0 (ii) kx^(2)-5x+k=0 (iii) x^(2)+k(4x+k-1)+2=0

If the roots 4x^(3) - 12x^(2) + 11x + k = 0 are in A.P. then k =

If x=k is the equqtion of a common tangent to the curves 9x^(2)+16y^(2)=144 ,y^(2)-x+4=0 and x^(2)+y^(2)-12x+32=0 then k is equal to _____

Find the values of k for which the roots are real and equal in the following equations: (i) (k+1)x^2+2(k+3)x+(k+8)=0 (ii) x^2-2k x+7k-12=0

If (3^(6))/(4^(4)) k is the term, independent of x in the binomial expansion of ((x)/(4)-(12)/(x^(2)))^(12) then k is equal to ____________

If int_(0)^(k) ( 1)/(9x^(2) + 1) dx = ( pi )/( 12) , then k is equal to

Find the least integral value of k for which the equation x^(2)-2(k+2)x+12+k^(2)=0 has two different real roots.