Distance possible to draw a line which belongs to all the given family of lines `y-2x+1+lambda_1(2y-x-1)=0,3y-x-6+lambda_2(y-3x+6)=0,a x+y-2+lambda_3(6x+a y-a)=0` , then (a)`a=4` (b) `a=3` (c)`a=-2` (d) `a=2`

Distance possible to draw a line which belongs to all the given family of lines y-2x+1+lambda_1(2y-x-1)=0,3y-x-6+lambda_2(y-3x+6)=0,a x+y-2+lambda_3(6x+a y-a)=0 , then a=4 (b) a=3 a=-2 (d) a=2

Distance possible to draw a line which belongs to all the given family of lines y-2x+1+lambda_(1)(2y-x-1)=0,3y-x-6+lambda_(2)(y-3x+6)=0,ax+y-2+lambda_(3)(6x+ay-a), then (a)a=4(b)a=3(c)a=-2(d)a=2

If it is possible to draw a line which belongs to all the given family of lines y-2x+1+lambda_1(2y-x-1)=0,3y-x-6+lambda_2(y-3x+6)=0 , a x+y-2+lambda_3(6x+a y-a)=0 , then (a) a=4 (b) a=3 (c) a=-2 (d) a=2

If it is possible to draw a line which belongs to all the given family of lines y-2x+1+lambda_1(2y-x-1)=0,3y-x-6+lambda_2(y-3x+6)=0 , a x+y-2+lambda_3(6x+a y-a)=0 , then (a) a=4 (b) a=3 (c) a=-2 (d) a=2

The equation of line belonging to the family of lines (5x+3y-2)+lambda(3x-y-4)=0 , lambda in R ,and at greatest distance from (0,0) is

The line common to the given families of line a(x +y+1)+b(2x-3y-8)=0 and lambda(x-y-1)+mu (2x-y-1)=0 is : x+y+1=0 x+y-1=0 x+y-1=0 None of these

The value of the lambda if the lines (2x+3y+4)+lambda(6x-y+12)=0 are

The equation of line belonging to the family of lines (5x+3y-2) + lambda (3x-y-4)=0, lambda in R , and at greatest distance from (0,2) is (A) x-y-2=0 (B) x+y=0 (C) x-y=0 (D) 2x-y-3=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

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