x^(2)+12x+35=0

The minimum radius of the circle which is orthogonal with both the circles x^(2)+y^(2)-12x+35=0 and x^(2)+y^(2)+4x+3=0 is 4(b)3(c)sqrt(15)(d)1

The equation whose roots are diminished by 1 than those of 4x^(3)-x^(2)+2x-3=0 is (A) 4x^(3)-11x^(2)+12x+2=0 (B) 4x^(3)-11x^(2)+12x-3=0 (C) 4x^(3)+11x^(2)+12x+2=0 (D) 4x^(3)+11x^(2)+12x-3=0

The multiple roots of x^(4)-2x^(3)-11x^(2)+12x+36=0 are

Solve the following equations : 4x^(2)-12x+25=0

Solve 9x^(2)-12x +25=0

Solve 9x^(2)-12x +25=0

Discuss the nature of the following quadratic equations without finding the roots i) x^(2)-12x+32=0 ii) 2x^(2)-7x+10=0 iii) 4x^(2)-20x+25=0 iv) 3x^(2)+7x+2=0

Discuss the nature of the following quadratic equations without finding the roots i) x^(2)-12x+32=0 ii) 2x^(2)-7x+10=0 iii) 4x^(2)-20x+25=0 iv) 3x^(2)+7x+2=0

Factorise : x^(3)-6x^(2)+12x-35

If intsqrt((x-5)/(x-7))dx = A sqrt(x^(2) - 12 x + 35) + log|x-6 +sqrt(x^(2)-12x+35)| + C , then