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(1)/(2) ((3x)/( 5) +4) ge (1)/(3) (x-6)...

`(1)/(2) ((3x)/( 5) +4) ge (1)/(3) (x-6)`

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The plane containing the two lines (x-3)/(1) = (y-2)/(4) = (z-1)/(5) and (x-2)/(1) = (y+3)/(-4) = (z+1)/(5) is 11x+my + nz = 28 where .............

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

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

If the x= 5 +2sqrt6 find the value of x^(2) + (1)/(x^(2)) and x^(3) + (1)/(x^(3))

If |1-(|sin x |)/(1+ |sin x| )| ge (2)/(3) , then sin x lies in

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)

Check whether the following are quadratic equations : (1) (x-3)^(2)=x(2x-5) (2) (2x-3)(8x+1) = (4x+5)(4x-5) (3) (5x+3)(x-2)=(4x+3)(2x-1) (4) (2x+5)^(3)=8(x-1)^(3) (5) x^(2)+7x-8=x(x+5) (6) x^(3)+9x^(2)-7x+2=(x+3)^(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)

Use suitable idntities to find the following products (i) (x +5) (x +2) (ii) (x-5) (x-5) (iii) (3x +3) (3x -2) (iv) (x ^(2) + (1)/( x ^(2)) )(x ^(2) - (1)/( x ^(2))) (v) (1+x) (1+x)