Statement 1 : If `-2h=a+b ,` then one line of the pair of lines `a x^2+2h x y+b y^2=0` bisects the angle between the coordinate axes in the positive quadrant. Statement 2 : If `a x+y(2h+a)=0` is a factor of `a x^2+2h x y+b y^2=0,` then `b+2h+a=0` Both the statements are true but statement 2 is the correct explanation of statement 1. Both the statements 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.

Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to the line x=1 Statement 2 : A parabola is symmetric about its axis. Both the statements are true and Statements 1 is the correct explanation of Statement 2. Both the statements are true but Statements 1 is not the correct explanation of Statement 2. Statement 1 is true and Statement 2 is false Statement 1 is false and Statement 2 is true

If one of the lines denoted by the line pair a x^2+2h x y+b y^2=0 bisects the angle between the coordinate axes, then prove that (a+b)^2=4h^2

Statement 1. If sin^-1 x=cos^-1 x, then x= 1/sqrt(2) , Statement 2. sin^-1 x+cos^-1 x= pi/2, 1lexlarr1 (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. If x,0, tan^-1 x+ tan^-1 (1/x) = pi/2 , Statement 2. tan^-1 x+cot^-1 x= pi/2, AA xepsilon R (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. |x^2-4|+|sinx|=|x^2+sinx-4|, if xepsilon [2,pi] , Statement 2. |x|+|y|=|x+y|, if xyle0 (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Stastement 2 is true

Statement 1. 2^(sinx)+2^(cosx)ge 2^(1-1/sqrt(2)) for all real x , Statement 2. For positive numbers, AMgeG.M. (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but 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.

If one of the lines of the pair a x^2+2h x y+b y^2=0 bisects the angle between the positive direction of the axes. Then find the relation for a ,b and h .

If one of the lines of the pair a x^2+2h x y+b y^2=0 bisects the angle between the positive direction of the axes. Then find the relation for a ,b ,a n dhdot

Statement 1. cos^-1 x-sin^-1 (x/2+sqrt((3-3x^2))/2)=- pi/3, where 1/2 lexle1 , Statement 2. 2sin^-1 x=sin^-1 2x sqrt(1-x^2), where - 1/sqrt(2)lexle1/sqrt(2). (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true