Product of real roots of the equation `t^2x^2+|x|+9=0` a. is always +ve b. is always-ve c. does not exist d. none of these

Product of real roots of the equation t^(2)x^(2)+|x|+9=0 a.is always +ve b.is always-ve c.does not exist d.none of these

Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are always a.positive b.real c.negative d.none of these

The number of real roots of equation x^8-x^5+x^2-x+1=0 is (A) 2 (B) 4 (C) 6 (D) 0

The sum of real roots of the equation |x-2|^(2)+|x-2|-2=0 is (A)4(B)1(C)2(D)-2

For the equation: x^(2)+18x+30=2sqrt(x^(2)+18x+45) a. product of real root of the equation is 20b . sum of real real root the equation is-18c. product of real root of the equation is 20d . sum of real root of the equation is 18

Number of real roots of equation f(x)=0 is (A) 0 (B) 1 (C) 2 (D) none of these

Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are always (1980,1M) positive (b) negative (c) real (d) none of these

Prove that the roots of the equation (b-c)x^(2)+2(c-a)x+(a-b)=0 Show that the root are always real