" i."k^(2)x^(2)-2(2k-1)x+4=0" (CBSE "2001" ) "

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 (iv) x^(2)-2(5+2k)x+3(7+10k)=0 (v) 5x^(2)-4x+2+k(4x^(2)-2x-1)=0 (vi) (k+1)x^(2)-2(k-1)x+1=0 (vii) x^(2)-(3k-1)x+2k^(2)+2k-11=0 (viii) 2(k-12)x^(2)+2(k-12)x+2=0

Find the vlaue of k for which the roots of the following equation are real and equal k^(2)x^(2)-2(2k-1) x + 4=0

Find the values of k for which the roots are real and equal in the following equations: x^(2)-2(k+1)x+k^(2)=0 (ii) k^(2)x^(2)-2(2k-1)x+4=0

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

The following equations have equal roots find k in each equation. k^2x^2 - 2(2k – 1) x + 4 =0 .

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

If the products of the roots of 5x^(2)-4x+38+k(-4x^(2)-2x-1)=0 is -5 then the value of k is