If the expression `x^(2) + 2(a + b + c)x + 3(bc + ca + ab)` is a perfect square, then

If the expression x^2+2(a+b+c)+3(b c+c+a b) is a perfect square, then a=b=c b. a=+-b=+-c c. a=b!=c d. non eoft h e s e

Show that If a(b-c) x^2 + b(c-a) xy + c(a-b) y^2 = 0 is a perfect square, then the quantities a, b, c are in harmonic progresiion

Let a, b, c be the sides of a triangle . No two of them are equal and λ∈R . If the roots of the equation x ^2+2(a+b+c)x+3λ(ab+bc+ca)=0 are real, then

If a^(2) + b^(2) + c^(2) = 29 and a + b + c = 9 , find: ab + bc + ca

Coefficient of x^(2) in the expansion of (x^(3) + 2x^(2) + x + 4)^(15) is (a) Prime (b) Composite (c) 0 (d) Perfect square

Let a,b,c be the sides of a triangle. No two of them are equal and lambda in R If the roots of the equation x^2+2(a+b+c)x+3lambda(ab+bc+ca)=0 are real, then (a) lambda 5/3 (c) lambda in (1/5,5/3) (d) lambda in (4/3,5/3)

Add the algebraic expressions. 5ab^2 -5bc +8ca and 3ab^2 +6bc -4ca

If the expression a^(2)(b^(2)-c^(2))x^(2)+b^(2)(c^(2)-a^(2))x+c^(2)(a^(2)-b^(2)) is a perfect square, then

Find : a^(2) + b^(2) + c^(2) , if a+ b+ c = 9 and ab+ bc + ca = 24

If the sum of the roots of the equation ax^2 +bx +c=0 is equal to sum of the squares of their reciprocals, then bc^2,ca^2 ,ab^2 are in