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 (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Statement-1: The curve y=(-x^(2))/2+x+1 s symmetric with respect to the line x = 1. Statement -2: A parabola is symmetric about its axis.

Statement I The curve y=(x^(2))/(2)+x+1 is symmetric with respect to the line x=1 . because Statement II A parabola is symmetric about its axis.

Statement-1: The area bounded by the curves y=ln|x| , y-axis and y=1-|x| is 2 sq. units.Statement-2: Both the curves y=log|x| and y=1-|x| are symmetric about y-axis. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Statement-1: The area of the region R={(x,y) : |x| le |y| and x^2+y^2 le 1} is pi/4 sq. units.Statement-2: Curves |y|=|x| and x^2+y^2=1 symmetric about both x and y-axis. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Statement-1: y(x)=sin(x+pi/4) Statement-2: Integrating factor of the given differential equation is secx . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

x-y+b=0 is a chord of the circle x^2 + y^2 = a^2 subtending an angle 60^0 in the major segment of the circle. Statement 1 : b/a = +- sqrt(2) . Statement 2 : The angle subtended by a chord of a circle at the centre is twice the angle subtended by it at any point on the circumference. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Let O be the origin and P -= (a, a^2) . (1) If P(a, a^2) lies in the first quadrant between the lines y=x and y=2x , then 1ltalt2 . (2) Slope of OP is a . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true