[" 23,"(a-1)x+3y=2],[6x+(1-2b)y=6]

Find the values of a and b for which the following system of linear equation has infinitely many solutions. (a-1)x+3y=2, 6x+(1-2b)y=6

Find the values of a and b for which the following system of equations has infinitely many solutions: (a-1)x+3y=2,\ \ \ \ 6x+(1-2b)y=6

Find the values of a and b for which the following system of equations has infinitely many solutions: (a-1)x+3y=2,quad 6x+(1-2b)y=6

If X= [(2,3,0),(1,-1,5)] ,Y= [(-1,-2,3),(-1,0,2)] ,Z= [(0,4,-1),(5,6,-5)] find 3X+4Y-Z

2x-y=1 ; 6x+3y=5

Find the value of x and y : [(x+y, 3),(x-y,-6)] = [(2,3),(4,-6)]

Match the following. {:("Line, parabola"," "," ""Pole"),("I". 2x-3y+4=0,y^(2)=4x," "(a)(4,6)),("II". 2x+3y-4=0,y^(2)=4x," "(b)(2,3)),("III". x-2y+4=0,y^(2)=6x," "(c)(-2,-3)),("IV". 3x+4y-4=0,x^(2)=4y," "(d)(-3//2,-1)):}

Prove that the following lines are concurrent. (i)5x-3y=1 , 2x+3y=23 , 42x+21y=257 (ii) 2x+3y-4=0 , x-5y+7=0 , 6x-17y+24=0

The domain of f(x)=cos^(-1)((2-|x|)/4)+[ log(3-x)]^-1 is (a) [-2,6] (b) [-6,2)uu(2,3) [-6,2] (d) [-2,2]uu(2,3)