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3(2-x)ge2(1-x)...

`3(2-x)ge2(1-x)`

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Solve the inequation 2^(2x^(2)-10x+3)+6.2^(x^(2)-5x).3^(x^(2)-5x)ge3^(2x^(2)-10x+3)

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)

Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3)) . Then a value of y is : (1) (3x-x^3)/(1-3x^2) (2) (3x+x^3)/(1-3x^2) (3) (3x-x^3)/(1+3x^2) (4) (3x+x^3)/(1+3x^2)

Prove that, tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt1/sqrt3

Solve (3x-4)/(2) ge (x+1)/(4) -1 . Show the graph of the solutions on number line.

(x)/(2) ge ((5x-2))/(3) - ((7x-3))/(5)

Solve the inequation log_(|x|)(sqrt((9-x^(2)))-x-1)ge1

If x,y,z in R , then the value of determinant |{:((2^x+2^(-x))^2,(2^x-2^(-x))^2,1),((3^x+3^(-x))^2,(3^x-3^(-x))^2,1),((4^x+4^(-x))^2,(4^x-4^(-x))^2,1):}| is equal to "............"

((2x-1))/(3) ge ((3x-2))/( 4) - ((2-x))/(5)