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)

Which of the following expression are polynomial .if not give reason : (i) (1)/( x^(2)) +3x -4 (ii) x^(2) (x-1) (iii) (1)/(x) (x+5) (iv) (1)/(x^(-2) ) +(1)/( x^(-1)) +7 (v) sqrt (5) x ^(2) + sqrt 3x +sqrt2 (vi ) m^(2) -3sqrt (m) +7m-10

Which the quadrant in which of the following points lie? (i) (-2,3) (ii) (5,-3) (iii) (4,2) (iv) (-7,-6) (v) (0,8) (vi) (3,0) (vii) (-4,0) (viii) (0,-6)

Which of the following expressions are polynomials in one variable and which are not ? Give reasons for you answer. (i) 3x ^(2) - 2x + 5 (ii) x ^(2) + sqrt2 (iii) p^(2) - 3p +q (iv) y + (2)/(y) (y ne 0) (v) 5 sqrtx + x sqrt5 (vi) x ^(100) + y ^(100)

Which of the following expressions are polynomias ? Which are not? Give reasons. (i) 4x ^(2) + 5x -2 (ii) y ^(2) -8 (iii)5 (iv) 2x ^(2) + (3)/(x) -5 (v) sqrt3x ^(2) + 5y (vi 1/x + 1 (x ne 0) (vii) sqrtx (viii) 3 xyz

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

Number of solutions of the equation 4(cos^(2) 2x+ cos 2 x +1)+tan x (tan x-2sqrt(3))=0 in [0, 2pi] is

Solve the following systems of equations : (i) x - 2y = 0 3x + 4y = 20 (ii) x + y = 2 2x + 2y = 4 (iii) 2x - y = 4 4x - 2y = 6

verify whether the following ratios are direction cosines of some vector or not . ( i) 1/5, 3/5, 4/5 (ii) 1/sqrt2, 1/2, 1/2 4/3 ,0, 3/4

Reduce the following equations into intercept form and find their intercepts on the axes. (i) 3x + 2y - 12 = 0 , (ii) 4x - 3y = 6, " " (iii) 3y + 2 = 0 .

Check whether the following equations are consistent or inconsistent. Solve them graphically. (i) 2x - 2y - 2 = 0 4x -4y - 5 = 0