" 14."kx^(2)-2sqrt(5)x+4=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

7x^(2)+2sqrt(14)x+2=0

For what value of k are the roots of the quadratic equation kx(x-2sqrt(5))+10=0 real and equal?

The equaiton of the line which bisects the obtuse angle between the lines x-2y+4=0 and 4x-3y+2=0 (A) (4-sqrt(5))x-(3-2(sqrt(5)) y+ (2-4sqrt(5))=0 (B) (3-2sqrt(5)) x- (4-sqrt(5))y+ (2+4(sqrt(5))=0 (C) (4+sqrt(5)x-(3+2(sqrt(5))y+ (2+4(sqrt(5))=0 (D) none of these

The equaiton of the line which bisects the obtuse angle between the lines x-2y+4=0 and 4x-3y+2=0 (A) (4-sqrt(5))x-(3-2(sqrt(5)) y+ (2-4sqrt(5))=0 (B) (3-2sqrt(5)) x- (4-sqrt(5))y+ (2+4(sqrt(5))=0 (C) (4+sqrt(5)x-(3+2(sqrt(5))y+ (2+4(sqrt(5))=0 (D) none of these

The locus of the point of intersection of the lines, sqrt(2)x-y+4sqrt(2)k=0" and "sqrt(2)kx+ky-4sqrt(2)=0 (k is any non-zero real parameter), is:

The locus of the point of intersection of the lines, sqrt(2)x-y+4sqrt(2)k=0" and "sqrt(2)kx+ky-4sqrt(2)=0 (k is any non-zero real parameter), is:

Find the harmonic mean of the roots of the equation (5+sqrt(2))x^(2)-(4+sqrt(5))x+(8+2sqrt(5))=0

If f(x)={(sqrt(1+kx)-sqrt(1-kx))/(x) for 1<=x<0 and 2x^(2)+3x-2f or 0<=x<=1 is continuous at x-0 then k

If f(x) ={((sqrt(1+kx)- sqrt(1-kx))/x, -1 le x le0),(2x^(2)+3x-2, 0 lex le1):} is continuous at x = 0, thenk =