" 2."x^(2)-4x-1=0

The quadratic equation one root of which is (2-sqrt3),"is "x^(2)-4x+1=0 .Find true or false.

If m and n are the roots of the equations 2x^(2)- 4x + 1=0 Find the value of (m+n) ^(2) +4mn.

If x^(4)-4x^(3)+2x^(2)-4x+1=0 then x is

Find the equation whose roots are 2 times the roots of x^(5)+2x^(2)-4x+1=0

The cubic equation whose roots are thrice to each of the roots of x^(3)+2x^(2)-4x+1=0 is

The lines joining the origin to the points of intersection of 2x^(2)+3xy-4x+1=0 and 3x+y=.1 given by

Find the angle of intersection of the curves : (ii) x^(2)+y^(2)-4x-1=0 and x^(2)+y^(2)-2y-9=0.

Examine the nature of the roots of the equations (i) 2x^(2)+2x+3=0 (ii) 2x^(2)-7x+3=0 (iii) x^(2)_5x-2=0 (iv) 4x^(2)-4x+1=0

Consider with circle S:x^(2)+y^(2)-4x-1=0 and the line L:y=3x-1 .If the line L cuts the circle at A and B then Length of the chord AB equal