[" In for what value "k(-9)" y a wis of "],[" polymonial "x^(2)-x-(2k+2)?]

For what value of k the HCF of x^(2) + x + (5k -1) and x^(2) - 6x + (3k + 11) "is " (x -2) ?

For what values of k, the equation x^2+2(k-4) x + 2k=0 has equal roots?

For what value of k will the line 4x + 3y + k = 0 touch the circle 2x^(2) + 2y^(2) = 5x

For what value of k is the circle x^(2)+y^(2)+5x+3y+7=0 and x^(2)+y^(2)-8x+6y+k=0 cut each other orthogonally.

For what value of 'k', the pair of equation 3x+4y+2=0 and 9x+12y+k=0 represent coincident lines.

P (2 , k) is on the ellipse x^(2) + 2y^(2) = 6 . For what value of k the point P is nearest to the line x + y = 7 ?

The range of values of k in R so that the circles (x-k)^(2)+y^(2)=(k^(2))/(2) , x^(2)+(y-k)^(2)=k^(2)+k will have exactly 4 common tangents is given by

The range of values of k in R so that the circles (x-k)^(2)+y^(2)=(k^(2))/(2) , x^(2)+(y-k)^(2)=k^(2)+k will have exactly 4 common tangents is given by

Find the value of k for which ( x-1) is a factor of (2x^(3)+9x^(2)+x+k) .

For what value of 'k' and 'b' lines 2x+3y = 7 and 2k x+ (k+b) y = 28 are coinsides ?