Statement 1 : The area bounded by parabola `y=x^2-4x+3a n dy=0` is `4/3` sq. units.
Statement 2 : The area bounded by curve `y=f(x)geq0a n dy=0` between ordinates `x=aa n dx=b` (where `b > a)` is `int_a^bf(x)dx`
(a) statement 1 is true, statement 2 is true, Statement 2 is the correct explanation for statement 1.
(b) statement 1 is true, statement 2 is true, Statement 2 is not correct explanation for statement 1.
(c) statement 1 is true, statement 2 is not true.

(d) statement 2 is true, statement 1 is not true.

STATEMENT 1: int_0^(pi/4)log(1+t a ntheta)d theta=pi/8log2. STATEMENT 2: int_0^(pi/2)logsin theta d theta =-pilog2. (a) statement 1 is true, statement 2 is true, Statement 2 is the correct explanation for statement 1. (b) statement 1 is true, statement 2 is true, Statement 2 is not correct explanation for statement 1. (c) statement 1 is true, statement 2 is not true. (d) statement 2 is true, statement 1 is not true.

Statement 1: A plane passes through the point A(2,1,-3)dot If distance of this plane from origin is maximum, then its equation is 2x+y-3z=14. Statement 2: If the plane passing through the point A( vec a) is at maximum distance from origin, then normal to the plane is vector vec a (a) Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation for Statement 1. (b) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is true , Statement 2 is false. (d) Statement 2 is true, Statement 1 is false.

Statement 1: Through (lambda,lambda+1) , there cannot be more than one normal to the parabola y^2=4x , if lambda (a) Statement 1 and Statement 2 , both are correct. Statement 2 is correct explanation for Statement 1. (b) Statement 1 and Statement 2 , both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is correct but Statement 2 is not correct. (d) Statement 2 is correct but Statement 1 is not correct.

Statement 1: Mass of O^16 nucleus is less than the sum of masses of 9 protons and 8 neutrons. Statement 2: Some internal energy is needed to keept the protons and neutrons bound in the nucleus. (A) Statement 1 is true, Statement 2 is true. Statement 2 is not a correct explanation for statement 1. (B) Statement 1 is true, Statement 2 is true. Statement 2 is a correct explanation for statement 1. (C) Statement 1 is true, Statement 2 is false. (D) Statement 1 is false, Statement 2 is true.

Statement 1 : The number of circles passing through (1, 2), (4, 8) and (0, 0) is one. Statement 2 : Every triangle has one circumcircle (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Statement 1: There are no common tangents between the circle x^2+y^2-4x+3=0 and the parabola y^2=2xdot Statement 2:Given circle and parabola do not intersect. (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Statement 1: ""^m C_r+ ""^m C_(r-1)(""^nC_1)+ ""^mC_(r-2)(""^n C_2)+....+ ""^n C_r=0 , if m+n lt r Statement 2: ""^n C_r=0 , if n lt r (a) Statement 1 and Statement 2, both are correct. Statement 2 is the correct explanation for Statement 1. (b) Statement 1 and Statement 2, both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Consider two circles x^2+y^2-4x-6y-8=0 and x^2+y^2-2x-3=0 Statement 1 : Both the circles intersect each other at two distinct points. Statement 2 : The sum of radii of the two circles is greater than the distance between their centers. (a) Statement 1 and Statement 2 , both are correct. Statement 2 is correct explanation for Statement 1. (b) Statement 1 and Statement 2 , both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is correct but Statement 2 is not correct. (d) Statement 2 is correct but Statement 1 is not correct.

Statement 1 : Slopes of tangents drawn from (4, 10) to the parabola 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. (a) Statement 1 and Statement 2 , both are correct. Statement 2 is correct explanation for Statement 1. (b) Statement 1 and Statement 2 , both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is correct but Statement 2 is not correct. (d) Statement 2 is correct but Statement 1 is not correct.

Statement 1: The greater the decay constant of a radioactive element, the smaller is its half-life. Statement 2: An element, although radioactive, can last longer, if its decay with time is slow. (A) Statement 1 is correct, Statement 2 is correct. But, Statement 2 is not the correct explanation of Statement 1. (B) Statement 1 is correct, Statement 2 is correct. Statement 2 is the correct explanation of Statement 1. (C) Statement 1 is correct, Statement 2 is incorrect. (D) Statement 1 is incorrect, Statement 2 is correct.