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. Find the correct answer. Statement 1 : The locus of a moving point `(x , y)` satisfying `sqrt((x-2)^2+y^2)+sqrt((x-2)^2+y^2)=4` is an ellipse. Statement 2 : The distance between `(-2,0)` and (2, 0) is 4.

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. Find the correct answer. Statement 1 : Slopes of tangents drawn from (4, 10) to theparabola y^2=9x are and 1/4 and 9/4 . Statement 2 : Two tangents can be drawn to a parabola from any point lying outside the parabola.

If the locus of the moving point P(x,y) satisfying sqrt((x-1)^(2)+y^(2))+sqrt((x+1)^(2)+(y-sqrt(12))^(2))=a is an ellipse, then find the values of a.

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. 1) Both the statements are True , and Statement 2 in the correct explanation of Statement 1. 2) Both the statements are True but Statement 2 is NOT the correct explanation of Statement 1. 3) Statement 1 is True and Statement 2 is False 4) Statement 1 is False and Statement 2 is True. Statement 1: Number of roots of the equation cot^(-1)x+cos^(-1)2x+pi=0, is zero. Statement 2: Range of cot^(-1)a n dcos^(-1)x is (0,pi)a n d(0,pi), respectively.

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. It is given that a >-,b >0,c >0a n da+b+c=a b c Statement 1: All of the three numbers cannot be less than sqrt(3.) Statement 2: In A B Cdot tanA+tanB+tanC=tanAtanBtanC

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. 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. Statement 1: sin(pi/18) is a root of 8x^3-6x+1=0 Statement 2: For any theta in R ,sin3theta=3sintheta-4sin^3theta