If ( x + 3 , 4 - y ) = ( 1 , 7 ) , then ( x - 3 , 4 + y ) is equal to
( a ) ( -2 , -3 )
( b ) ( -5 , 1 )
( c ) ( 3 , 4 )
( d ) ( 1, 5 )

If ( x + 3 , 4 + y ) = ( 1 , 7 ) then ( x - 3 , 4 - y ) is equal to ( A )   ( -2 , 3 )   ( B )   ( -5, 1 )   ( C )   ( 3, 4 )   ( D )   ( 1, 5 )  

If xdy=ydx+y^2dy and y(1)=1 , then y(-3) is equal to (A) 1 (B) 5 (C) 4 (D) 3

If [(2x+y,0),(5,x)] = [(5,0),(5,3)] then y is equal to (a) 1 (b) 3 (c) 2 (d) -1

If ( 2x - 3y + 1)/(2) = (x + 4y + 8)/(3) = ( 4x - 7y + 2)/(5) then what is (x +y) equal to ?

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))

Find the S.D. between the lines : (i) (x)/(2) = (y)/(-3) = (z)/(1) and (x -2)/(3) = (y - 1)/(-5) = (z + 4)/(2) (ii) (x -1)/(2) = (y - 2)/(3) = (z - 3)/(2) and (x + 1)/(3) = (y - 1)/(2) = (z - 1)/(5) (iii) (x + 1)/(7) = (y + 1)/(-6) = (z + 1)/(1) and (x -3)/(1) = (y -5)/(-2) = (z - 7)/(1) (iv) (x - 3)/(3) = (y - 8)/(-1) = (z-3)/(1) and (x + 3)/(-3) = (y +7)/(2) = (z -6)/(4) .

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

If log_(3){5+4log_(3)(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) log_(2)16

If (x)/(y)=(6)/(5), then the value of ((6)/(7)-(5x-y)/(5x+y)) is equal to (a) (1)/(7)( b) (2)/(7)(c)(3)/(7) (d) (4)/(7)

Let A=[1 2 3-5] and B=[1 0 0 2] and X be a matrix such that A=B X , then X is equal to 1/2[2 4 3-5] (b) 1/2[-2 4 3 5] (c) [2 4 3-5] (d) none of these