If `a,b,c gt0 and a+b+c=9, then a^4 b^2 c^3` (A) `gt2^10.(3^3)` (B) `2^10.(3^3)` (C) `le2^10.(3^3)` (D) `=2^10.(3^3)`

If a : b=4:5 and b : c=2:3, then a : c (a) 4:3 (b) 8: 15 (c) 8:9 (d) 5:3

If a+b+c=9 and a^2+b^2+c^2=35 , find the value of a^3+b^3+c^3-3a b c

If a+b+c=9 and a^2+b^2+c^2=35 , find the value of a^3+b^3+c^3-3a b c

If 2a=3b=4c , then a : b : c= (a) 2:3:4 (b) 3:4:6 (c) 4:3:2 (d) 6:4:3

If a gt 0 and b^(2) - 4 ac = 0 then solve ax^(3) + (a + b) x^(2) + (b + c) x + c gt 0 .

If a+b+c=1 , a^2+b^2+c^2=9 and a^3+b^3+c^3=1 , then 1/a + 1/b + 1/c is (i) 0 (ii) -1 (iii) 1 (iv) 3

If a+b+c=1 , a^2+b^2+c^2=9 and a^3+b^3+c^3=1 , then 1/a + 1/b + 1/c is (i) 0 (ii) -1 (iii) 1 (iv) 3

If A=[(2,2),(-3,2)] and B=[(0,-1),(1,0)] then (B^-1A^-1)^-1= (A) [(2,-2),(2,3)] (B) [(3,-2),(2,3)] (C) 1/10 [ (2,2),(-2,3)] (D) 1/10 [(3,-2),(-2,2)]

If a, b, c are in A.P., prove that a^(3)+4b^(3)+c^(3)=3b(a^(2)+c^(2)).

If a/2=b/3=c/4, then a : b : c= (a) 2:3:4 (b) 4:3:2 (c) 3:2:4 (d) None of these