[" Q2."x^(2)-2(4k-1)x+(15k^(2)-2k-],[" 7) ">0AA x in R]

The number of integral values of k for which the inequality x^(2)-2(4k-1)x+15k^(2)-2k-7 ge0 hold for x in R are _____________

The number of integral values of k for which the inequality x^(2)-2(4k-1)x+15k^(2)-2k-7 ge0 hold for x in R are _____________

The integer k for which the inequality x^(2) - 2(4k-1)x + 15k^(2) - 2k - 7 gt 0 is valid for any x is :

The integer k for which the inequality x^2 - 2 (4k -1) x+ 15 k^2 -2k -7 gt 0 is valid for any x, is

The integer k ,for which the inequality x^(2)-2(3k-1)x+8k^(2)-7>0 is valid for every x in R is

25. The integer k for which the inequality x 2 -2(4k-1)x +15k 2 - 2k-7 > 0 is valid for any real x is (a) 2 (b) 3 (c) 4 (d) infinite

25. The integer k for which the inequality x^2 -2(4k 1)x 15k 2k-7 0 is valid for any real x is (2) 3 (3) 4 (4) 5

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