Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. (i) `4x^2-3x+7` (ii) `y^2+sqrt2` (iii) `3sqrtt+tsqrt2` (iv) `y+2/y` (v) `x^(10)+y^(3)+t^(50)`

State which of the following are polynomials and which are not ? Give reasons. 2x^(3)

State which of the following statements are true and which are false ? Give reasons for your choice. The degree of the polynomial sqrt(2)x^(2)-3x+1 is sqrt(2) .

Write the degree of each of the following polynomials : (i) 5x^3 +4x^2+7x (ii) 4-y^2 (iii) 5t-sqrt7 (iv) 3

Check which of the following are solutions of the equation x - 2y = 4 and with are not : (i) x-2y = 4 (ii) (2,0) (iii) (4,0) (iv) (sqrt2, 4 sqrt2) (v) (1,1)

Is the polynomial 2 x ^(2) + 3 xy + 5y ^(2) in one variable ?

Find the vaoue of each of the folllowing polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vii) q (z) = 5z ^(3) - 4z + sqrt2 at z =2

Express each of the following equations in the form of ax + by + c = 0 and write the values of a, b and c. (i) 3x + 4y = 5 (ii) x - 5 = sqrt3y (iii) 3x = y (iv) x/2+y/2=1/6 (v) 3x - 7 = 0

Check which of the following are solutions of an equation x + 2y = 4? (Complete the table wherever necessary) (i) (0, 2) (ii) (2, 0) (iii) (4, 0) (iv) ( sqrt2 ,- sqrt2 ) (v) (1, 1) (vi) ( - 2, 3)

Express the following linear equation in the form of ax+by+c=0 and indicate the values of a, b and c in each case. (i) 8x + 5y - 3 = 0 (ii) 28x - 35y = - 7 (iii) 93x = 12 - 15y (iv) 2x = - 5y (v) x/3+y/4=7 (vi) y=(-3)/2x (vii) 3x+5y=12