The quadratic equation having root `3+4i` is
`x^(2)+6x+25=0`
`x^(2)+6x-25=0`
`x^(2)-6x-25=0`

Solve the quadratic equation having real roots by quadratic formulae :(i)9x^(2)+7x-2=0 (ii) 6x^(2)+x-2=0

In the following,determine whether the given quadratic equations have real roots and if so, find the roots 6x^(2)+x-2=0 (ii) 25x^(2)+20x+7=0

Which of the following is not the quadratic equation whose roots are csc^(2)theta andsec ^(2)theta?x^(2)-6x+6=0 (b) x^(2)-7x+7=0x^(2)-4x+4=0 (d) none of these

A parabola is drawn with its focus at (3,4) and vertex at the focus of the parabola y^(2)-12x-4y+4=0. The equation of the parabola is: (1)x^(2)-6x-8y+25=0 (2) y^(2)-8x-6y+25=0(3)x^(2)-6x+8y-25=0(4)x^(2)+6x-8y-25=0

Find the nature of roots of the following quadratic equations. If the real roots exist, (i) 2x^(2)-3x+5=0 (ii) 3x^(2)-4sqrt3x+4=0 (iii) 2x^(2)-6x+3=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

Which of the following equations has 2 as a root? (a) x^(2)-4x+5=0 , (b) x^(2)+3x-12=0 (c) 2x^(2)-7x+6=0 , (d) 3x^(2)-6x-2=0

Find the values of k for which the given quadratic equation has real and distinct roots: (i) kx^(2)+6x+1=0" "(ii)" "x^(2)-kx+9=0 (iii) 9x^(2)+3kx+4=0" "(iv)" "5x^(2)-kx+1=0

The discriminant of the quadratic equation 4x^(2) -6x+3=0 is

Write the discriminant of the following quadratic equations and mention the nature of the root : (a) 9x^(2)-6x+1=0 (b) x^(2)+x-12=0 (c ) 4sqrt3x^(2)+5x+2sqrt3=0