[" 1.2.Let "a,b,c" be foritive red munbers "],[" such that "bx^(2)+(sqrt(a+c^(2)+4b^(2)))x+(a+c)],[" a.b.c and in "]

Let a,b,c be positive real numers such that bx^2+(sqrt(((a+c)^2+4b^2))x +(a+c),=0, AA x epsilon R, then a,b,c are in (A) G.P. (B) A.P. (C) H.P. (D) none of these

Let a,b,c be positive real numers such that bx^2+(sqrt(((a+c)^2+4b^2))x +(a+c),=0, AA x epsilon R, then a,b,c are in (A) G.P. (B) A.P. (C) H.P. (D) none of these

int (2ax+b)/(sqrt(ax^2+bx+c))dx

Let a, b, c be three real numbers such that a + 2b + 4c = 0. Then the equation ax^(2) + bx + c=0

Let a,b and c be three real numbers,such that a+2b+4c0. Then the equation ax^(2)+bx+c=0

Let a, b, c be three number such that a+2b+4c=0. Then the equation ax^2+bx+c=0

Let a, b, c be three distinct real numbers such that each of the expressions ax^+bx +c, bx^2 + cx + a and ax^2 + bx + c are positive for all x in R and let alpha=(bc +ca+ab)/(a^2+b^2+c^2) then (A)alpha 1/4 (D) alpha>1

Let a, b, c be non zero numbers such that int_(0)^(3)sqrt(x^(2)+x+1)(ax^(2)+bx+c)dx=int_(0)^(5)sqrt(1+x^(2)+x)(ax^(2)+bx+c)dx . Then the quadratic equation ax^(2)+bx+c=0 has

Let a, b, c be non zero numbers such that int_(0)^(3)sqrt(x^(2)+x+1)(ax^(2)+bx+c)dx=int_(0)^(5)sqrt(1+x^(2)+x)(ax^(2)+bx+c)dx . Then the quadratic equation ax^(2)+bx+c=0 has

Let a,b and c be real numbers such that 4a+2b+c=0 and ab<0. Then the equation ax^(2)+bx+c=0