Find `(x+y)-:(x-y),` if (i) `x=2/3, y=3/2` (ii) `x=2/5, y=1/2` (iii) `x=5/4, y=(-1)/3`

Find (x+y)+(x-y), if x=2/3, y=3/2 (ii) x=2/5, y=1/2

Find (x+y)+(x-y), if x=5/4, y=(-1)/3 (ii) x=2/7, y=4/3 (iii) x=1/4, y=3/2

Find (dy)/(dx), when (i) y=sqrt(x) (ii) y=x^(5)+x^(4)+7 (iii) y=x^(2)+4x^(-1//2)-3x^(-2)

Find (dy)/(dx) for the following : (i) y=x^(7//2) (ii) y=x^(-3) (iii) y=x (iv) y=x^(5)+x^(3)+4x^(1//2)+7 (v) y=5x^(4)+6x^(3//2)+9x (vi) y=ax^(2)+bx+C (Vii) y=3x^(5)-3x-1/x

Find the products: (i) (2x+y)(2x-y)(4x^2+y^2) (ii) (x-y/5-1)\ (x+y/5+1)

On comparing the ratios (a_1)/(a_2),(b_1)/(b_2) and (c_1)/(c_2) , find out whether the following pair of linear equations are consistent, or inconsistent. (i) 3x+2y=5; 2x-3y = 7 (ii) 2x-3y=8 ; 4x-y=9 (iii) 3/2x+5/3y=7 ; 9x-10y=14 (iv) 5x-3y=11 ; -10x+6y = -22 (v) 4/3 x +2y=8 ; 2x+3y = 12

If [2x+y,4x,5x-7 4x]=[7 7y-13 y x+6] , then the value of x+y is x=3 , y=1 (b) x=2 , y=3 (c) x=2 , y=4 (d) x=3 , y=3

Solve the following pair of linear equations by the substitution method. (i) x+y=14 ;x- y=4 (ii) s-t=3; s/3+t/2=6 (iii) 3x-y=3;9x-3y=9 (iv) 0. 2 x+0. 3 y=1. 3 ;0. 4 x+0. 5 y=2. 3 (v) sqrt(2)x+sqrt(3)y=0;sqrt(3)x-sqrt(8)y=0 (vi) 3x/2-5y/2=-2;x/3+y/2=13/6

Find the intercepts cuts on X -axis and Y -axis from the following lines : (i) 3x+4y=12 (ii) 2x-5y=8 (iii) x+2y+3=0 (iv) 2x-y+3=0

Draw the graph of each of the following : (i)(x)/(3)+(y)/(5)=1 , (ii) (2x+6)/(5)=y-1 , (iii) 3x+4y=12 , (iv)3x-y=2