If abcd and K0, then the quadratic equation (x-a)(x-c)+k(x-b)(x-d)=0 has (a) All roots real and d...

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If abcd, then the roots of the equation (x-a) (x-c)+2(x-b)(x-d)=0 are real and distinct. (1984,1 ... If abcd, then the roots of the equation (x-a) (x-c)+2(x-b)(x-d)=0 are real and distinct. (1984,1 ...
9. If a + b + c = 0, then the quadratic equation 3ax^2 + 2bx + c = 0 has ( JEE Advance 1983) 9. If a + b + c = 0, then the quadratic equation 3ax^2 + 2bx + c = 0 has ( JEE Advance 1983)
If the roots of the equation bX2 + cX + a = 0 be imaginary, the expression 3b2x2 + 6bcx + 2c2 is If the roots of the equation bX2 + cX + a = 0 be imaginary, the expression 3b2x2 + 6bcx + 2c2 is
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If a‹b‹c‹d, prove that the equation (x-a)(x-c)+k(x-b)(x-d)=0 has real roots for all k∈R . If a‹b‹c‹d, prove that the equation (x-a)(x-c)+k(x-b)(x-d)=0 has real roots for all k∈R .
If c and d are roots of the equation (x-a )(x-b) – k= 0 then a, b are roots of the equation? If c and d are roots of the equation (x-a )(x-b) – k= 0 then a, b are roots of the equation?
If the roots of the equation bx^2+cx+a=0 be imaginary, then for all real values of x. The expression If the roots of the equation bx^2+cx+a=0 be imaginary, then for all real values of x. The expression
If α, β, γ, δ are the roots of the equation x^4 - Kx^3 + Kx^2 + Lx + M =0, where K, L & M are real n If α, β, γ, δ are the roots of the equation x^4 - Kx^3 + Kx^2 + Lx + M =0, where K, L & M are real n