Statement 1 : If `-h2=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.

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 ,h

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: tan5^0 is an irrational number Statement 2: tan15^0 is an irrational number.

Each question has four choice: a, b, c and d, out of which only one is correct. Each question contains Statement 1 and Statement 2. Find the correct answer. Both the Statements are true but 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 Statement 1: The lines (a+b)x+(a-2b)y=a are con-current at the point (2/3,1/3)dot Statement 2: The lines x+y-1=0 and x-2y=0 intersect at the point (2/3,1/3)dot

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: The minimum value of 27^(cos2x)81^(sin2x) is 1/(243) Statement 2: The minimum value of acostheta+bsinthetai s-sqrt(a^2+b^2)

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: The maximum value of sinsqrt(2)x+sina x cannot be 2 (a is positive rational number) Statement 2: (sqrt(2))/a is irrational.

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: sinpi/(18) is a root of 8x^3-6x+1=0 Statement 2: For any theta in R ,sin3theta=3sintheta-4sin^3theta

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. If A+B+C=pi, then Statement 1: cos^2A+cos^2B+cos^2C has its minimum value 3/4dot Statement 2: Maximum value of cosAcosBcosC is 1/8

Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. a) if both the statements are true and statement 2 is the correct explanation of statement 1. b) If both the statements are true but statement 2 is not the correct explanation of statement 1. If statement 1 is True and statement2 is false. If statement1 is false and statement2 is true. Statement 1: f: NvecR ,f(x)=sinx is a one-one function. Statement 2: The period of sinx is 2pi and 2pi is an irrational number.

If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y-axis, then prove that 2fgh=bg^2+c h^2