" iii) "kx^(2)+sqrt(2)x-4=0,x=2/3

3x^(2)-4sqrt(3)x+4=0

4x^(2)+4sqrt(3)x+3=0

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

In each of the following,determine the value of k for which the given value is a solution of the equation: kx^(2)+2x-3=0,x=2 (ii) 3x^(2)+2kx-3=0,x=-(1)/(2)( iii) x^(2)+2ax-k=0,x=-a

3x^2-4sqrt3x+4=0

Find the value(s) of k for which the given quadratic equations has real and distinct roots : (i) 2x^(2)+kx+4=0 (ii) 4x^(2)-3kx+1=0 (iii) kx^(2)+6x+1=0 (iv) x^(2)-kx+9=0

Find the value(s) of k for which the given quadratic equations has real and distinct roots : (i) 2x^(2)+kx+4=0 (ii) 4x^(2)-3kx+1=0 (iii) kx^(2)+6x+1=0 (iv) x^(2)-kx+9=0

(4) sqrt(3)x^(2)+2x-sqrt(3)=0

x^2+sqrt2x-4=0 ; x=sqrt3,x=-2sqrt2

The locus of a point on the variable parabola y^(2)=4ax, whose distance from the focus is always equal to k, is equal to (a is parameter) (a) 4x^(2)+y^(2)-4kx=0(b)x^(2)+y^(2)-4kx=0(c)2x^(2)+4y^(2)-9kx=0(d)4x^(2)-y^(2)+4kx=0