If `L_1,L_2,` denote the lines `x + 2y – 2 = 0,2x + 3y + 4 = 0`

If L_(1),L_(2), denote the lines x+2y2=0,2x+3y+4=0

If L_1 and L_2, are the length of the tangent from (0, 5) to the circles x^2 + y^2 + 2x-4=0 and x^2 + y^2-y + 1 = 0 then

Consider, L_(1) : 2x + 3y + p – 3 = 0 , L_(2) : 2x + 3y + p + 3 = 0 , where p is a real number, and C : x^(2)+y^(2)+6x–10y+30=0 Statement-I : If line L_(1) is a chord of circle C, then line L_(2) is not always a diameter of circle C. and Statement-II : If line L_(1) is a diameter of circle C, then line L_(2) is not a chord of circle C.

Let L be the line belonging to the family of straight lines (a+2b) x+(a-3b)y+a-8b =0, a, b in R, which is the farthest from the point (2, 2). If L is concurrent with the lines x-2y+1=0 and 3x-4y+ lambda=0 , then the value of lambda is

Let L be the line belonging to the family of straight lines (a+2b) x+(a-3b)y+a-8b =0, a, b in R, which is the farthest from the point (2, 2). If L is concurrent with the lines x-2y+1=0 and 3x-4y+ lambda=0 , then the value of lambda is

Let L be the line belonging to the family of straight lines (a+2b) x+(a-3b)y+a-8b =0, a, b in R, which is the farthest from the point (2, 2). If L is concurrent with the lines x-2y+1=0 and 3x-4y+ lambda=0 , then the value of lambda is

Let two parallel lines L_1 and L_2 with positive slope are tangent to the circle C_1 : x^2 + y^2 -2x 16y + 64 = 0 . If L_1 is also tangent to the circle C_2 : x^2 + y^2 - 2x + 2y -2 = 0 and the equation of L_2 is asqrta x - by + c - a sqrta = 0 where a,b,c in N. then find the value of (a+b+c)/7

Let two parallel lines L_1 and L_2 with positive slope are tangent to the circle C_1 : x^2 + y^2 -2x 16y + 64 = 0 . If L_1 is also tangent to the circle C_2 : x^2 + y^2 - 2x + 2y -2 = 0 and the equation of L_2 is asqrta x - by + c - a sqrta = 0 where a,b,c in N. then find the value of (a+b+c)/7

Match the equations A, B, C and D with the lines L_1, L_2, L_3 and L_4 , whose graphs are roughly drawn in the given diagram. A -= y = 2x, " " B -= y - 2x + 2 = 0 , C -= 3x + 2y = 6, " "D = y = 2