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)

Check which of the following is solution of the equation 2x - 5y = 10 (i) (0, 2) (ii) (0, –2) (iii) (5, 0) (iv) ( 2sqrt3,-sqrt3 ) (v) ( 1/2,2 )

Where do the following points lie? (i) (0,-2,3) (ii) (0,0,-3) (iii) (2,1,0) (iv) (2,0,0) (v) (3,0,-4)

Which of the following points lie on the axes? Also name the axis (i) (-5,-8) (ii) (0,13) (iii) (4,-2) (iv) (-2,0) (v) (0,-8) (vi) (7,0) (vii) (0,0)

Write 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 polynomials ? 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

Find out which one of the following numbers is rational and which one is irrational (i) sqrt(127) (ii) sqrt(1521) (iii) 0.285714285714… (iv) 0.101001000…. (v) 7/sqrt5 (vi) 0.00010001 (vii) sqrt2 + 21 (viii) pi -2

Find the octants in which the followings points lie: (i) (2,3,4) (ii) (2,3,-4) (iii) (-1,-2,3) (iv) (-3,-4,-5) (v) (-1,2,5) (vi) (2,-1,-3) (vii) (1,-3,4) (viii) (-2,-3,5)