` 3 x - 5y - 19 = 0 `,
` - 7x + 3y + 1 = 0`

6x + 5y = 7x + 3y + 1 = 2 ( x + 6y - 1 )

Two consecutive sides of a parallelogram are 4x+5y=0a d n7x+2y=0. If the equation of one diagonal is 11 x+7y=9, Equation of other diagonal : (A) 11x + 7y =0 (B) 3x - 5y + 5 = 0 (C) 7x + 11y = 0 (D) 3x + 5y + 5 =0

Prove that the lines 3x + 2y + z – 5 = 0 = x + y – 2z – 3 and 2x – y – z = 0 = 7x + 10y – 8z – 15 are perpendicular

Show that the three straight lines 2x-3y + 5 = 0 , 3x + 4y - 7 = 0 and 9x- 5y + 8 = 0 meet in a point

( 5)/(x)- ( 3) /( y ) = 1 , ( 3) /( 2 x ) + ( 2) /( 3y ) = 5 ( x ne 0 , y ne 0 )

Z = 3x + 5y x + y ge 2, x + 3y ge 3 x ge 0 ,y ge 0

The radical centre of three circles : x^2 + y^2 + x + 2y + 3 = 0, x^2 + y^2 + 2x + 4y + 5 = 0 and x^2 + y^2 - 7x - 8y - 9 = 0 is : (A) (- 2/3, - 2/3) (B) (1/3, 1/3) (C) (1/4, 1/4) (D) (0, 0)

Z = 3x + 5y x + 3y ge 3, x + y ge 2,x ge 0, y ge 0

The equation of straight line belonging to both the families of lines (x-y+1)+lambda_1(2x-y-2)=0 and (5x+3y-2)+lambda_2(3x-y-4)=0 where lambda_1, lambda_2 are arbitrary numbers is (A) 5x -2y -7=0 (B) 2x+ 5y - 7= 0 (C) 5x + 2y -7 =0 (D) 2x- 5y- 7= 0

For what values of k is the system of equations 2k^2x + 3y - 1 = 0, 7x-2y+ 3 - 0, 6kx + y+1=0 consistent?