If `x/y=1/3` , then `(x^2+y^2)/(x^2-y^2)=?` (a) `-(10)/9` (b) `5/4` (c) `-5/4` (d) `-5/3`

If (5x+2y) : (10x+3y) = 5:9 , then (2x^2+3y^2 ):(4x^2+9y^2) =? यदि (5x+2y) : (10x+3y) = 5:9 , है, तो (2x^2+3y^2 ): (4x^2+9y^2) =?

If 4x+5y=83 and (3x)/(2y)=(21)/(22), then y-x=?( a) 3( b) 4 (c) 7 (d) 11

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

2^x-2^y=2^(x+y) find dy/dx if x=y=2 (a) 3/5 (b) -3/5 (c) 2/5 (d) 1

If x-y=1 and x^(2)+y^(2)=41, then the value of x+y will be (a)5 or 4(b)-5 or -4 (c) +-9(d)+-1

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

If 2x+3y=5 and 3x+2y=10 then x-y= (a) 3 (b) 4 (c) 5 (d) 6

The solution of the differential equation xdy/dx+2y=x^(2),(xne0) with y(1)=1, is (a) y=x^(2)/4+3/(4x^(2)) (b) y=x^(3)/5+1/(5x^(2)) (c) y=3/4x^(2)+3/(4x^(2)) (d) y=4/5x^(3)+1/(5x^(2))

If x^(3)-2x^(2)y^(2)+5x+y-5=0 and y(1)=1, then (a y'(1)=(4)/(3)(b)y'(1)=-(4)/(3)(c)y''(1)=-8(22)/(27) (d) y'(1)=(2)/(3)