[" 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-1: If line "L_(1)" is a chord of "],[" circle "C" ,then line "L_(2)" is not always a "],[" and "],[" sTATEMENT- "2:" Ifline "L_(1)" is a diameter of "],[" circle "C," then line "L_(2)" is not a chord of circle "],[" C."]

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.

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-10 y+30=0 Statement 1 : If line L_1 is a chord of circle C , then line L_2 is not always a diameter of circle Cdot Statement 2 : If line L_1 is a a diameter of circle C , then line L_2 is not a chord of circle Cdot

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-10 y+30=0 Statement 1 : If line L_1 is a chord of circle C , then line L_2 is not always a diameter of circle Cdot Statement 2 : If line L_1 is a a diameter of circle C , then line L_2 is not a chord of circle Cdot (A) Both the statement are True and Statement 2 is the correct explanation of Statement 1. (B) Both the statement are True but Statement 2 is not the correct explanation of Statement 1. (C) Statement 1 is True and Statement 2 is False. (D) Statement 1 is False and Statement 2 is True.

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-10 y+30=0 Statement 1 : If line L_1 is a chord of circle C , then line L_2 is not always a diameter of circle Cdot Statement 2 : If line L_1 is a a diameter of circle C , then line L_2 is not a chord of circle Cdot (A) Both the statement are True and Statement 2 is the correct explanation of Statement 1. (B) Both the statement are True but Statement 2 is not the correct explanation of Statement 1. (C) Statement 1 is True and Statement 2 is False. (D) Statement 1 is False and Statement 2 is True.

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-10 y+30=0 Statement 1 : If line L_1 is a chord of circle C , then line L_2 is not always a diameter of circle Cdot Statement 2 : If line L_1 is a a diameter of circle C , then line L_2 is not a chord of circle Cdot (A) Both the statement are True and Statement 2 is the correct explanation of Statement 1. (B) Both the statement are True but Statement 2 is not the correct explanation of Statement 1. (C) Statement 1 is True and Statement 2 is False. (D) Statement 1 is False and Statement 2 is True.

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-10 y+30=0 Statement 1 : If line L_1 is a chord of circle C , then line L_2 is not always a diameter of circle Cdot Statement 2 : If line L_1 is a a diameter of circle C , then line L_2 is not a chord of circle Cdot Both the statement are True and Statement 2 is the correct explanation of Statement 1. Both the statement are True but Statement 2 is not the correct explanation of Statement 1. Statement 1 is True and Statement 2 is False. Statement 1 is False and Statement 2 is True.

Condider the lines L_(1):3x+4y=k-12,L_(2):3x+4y=sqrt2k and the ellipse C : (x^(2))/(16)+(y^(2))/(9)=1 where k is any real number Statement-1: If line L_(1) is a diameter of ellipse C, then line L_(2) is not a tangent to the ellipse C. Statement-2: If L_(2) is a diameter of ellipse C, L_(1) is the chord joining the negative end points of the major and minor axes of C.