If (0, a) and (b, 0) are the solutions of the following linear equations. Find ‘a’ and ‘b’.
(i)8x - y = 34 (ii) 3x = 7y - 21 (iii)5x - 2y + 3 = 0

Draw the graph of each of the following linear equations. (i) 2y = -x + 1 (ii) –x + y = 6 (iii) 3x + 5y = 15 (iv) x/2-y/3 =3

Find three different solutions of the each of the following equations. (i) 3x + 4y = 7 (ii) y = 6x (iii) 2x - y = 7 (iv) 13x - 12y = 25 (v) 10x + 11y = 21 (vi) x + y = 0

For what values of a and b does the following pair of linear equations have infinitely many solutions ? 2x + 3y = 7 a (x + y) - b (x - y) = 3a + b - 2

Draw the graph of each of the equations given below and also find the coordinates of the points where the graph cuts the coordinate axes (i) 6x - 3y = 12 (ii) - x + 4y = 8 (iii) 3x + 2y + 6 = 0

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

Find dervatives of the following functions: (i) y=2x^(3) , (ii) y=4/x , (iii) y=3e^(x) , (iv) y=6 ln x , (v) y=5 sin x

Write each of the following in the form of ax + by + c = 0 and find the values of a, b and c (i) x = -5 (ii) y = 2 (iii) 2x = 3 (iv) 5y = -3

Solve the following pair of linear equations by the method of elimination : x+y=5 and 2x-3y-4=0

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