Suppose a, b, c are real numbers, and each of the equations `x^(2)+2ax+b^(2)=0` and `x^(2)+2bx+c^(2)=0` has two distinct real roots. Then the equation `x^(2)+2cx+a^(2)=0` has - (A) Two distinct positive real roots (B) Two equal roots (C) One positive and one negative root (D) No real roots

Let a ,b ,cR_0 and each of the quadratic equations in x ,x^2+2(a^2+b^2)x+(b^2+c^2)^2=0 and x^2+2(b^2+c^2)x+(c^2+a^2)^2=0 has two distinct real roots. Then equation x^2+2(c^2+a^2)x+(a^2+b^2)^2=0 ha Two distinct positive real roots Two equal real roots Two distinct negative real roots (4) No real roots

Find the values of p for which the equation x^(4)-14x^(2)+24x-3-p=0 has (a) Two distinct negative real roots (b) Two real roots of opposite sign (c) Four distinct real roots (d) No real roots

Find the values of p for which the equation x^(4)-14x^(2)+24x-3-p=0 has (a) Two distinct negative real roots (b) Two real roots of opposite sign (c) Four distinct real roots (d) No real roots

Find the values of p for which the equation x^(4)-14x^(2)+24x-3-p=0 has (a) Two distinct negative real roots (b) Two real roots of opposite sign (c) Four distinct real roots (d) No real roots

If a,b,c in R and abc<0, then equation bcx^(2)+(2b+c-a)x+a=0 has (a).both positive roots (b) both negative roots (c).real roots (d) one positive and one negative root

A quadratic equation ax^(2) + bx + c = 0 has two distinct real roots, if….

If a ,b ,c in R a n d a b c<0 , then equation b c x^2+(2b+c-a)x+a=0 h a s (a). both positive roots (b). both negative roots (c). real roots (d) one positive and one negative root

If a ,b ,c in R a n d a b c<0 , then equation b c x^2+(2b+c-a)x+a=0 h a s (a). both positive roots (b). both negative roots (c). real roots (d) one positive and one negative root

If a ,b ,c in Ra n da b c<0 , then equation b c x^2+2(b+c-a)x+a=0h a s (a)both positive roots (b)both negative roots (c)real roots (d)one positive and one negative root

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then