Statement-1: The point `(sin alpha, cos alpha)` does not lie outside the parabola `y^2 + x-2=0` when `alpha in [pi/2,(5pi/6] uu [pi,(3pi)/2]` Statement-2: The point `(x_1, y_1)` lies outside the parabola `y^2= 4ax` if `y_1^2-4ax_1, 0`.

Statement-1: Three normals can be drawn to the parabola y^(2)=4ax through the point (a, a+1), if alt2 . Statement-2: The point (a, a+1) lies outside the parabola y^(2)=4x for all a ne 1 .

The area inside the parabola 5x^2-y=0 but outside the parabola 2x^2-y+9=0 is

The area inside the parabola 5x^(2)-y=0 but outside the parabola 2x^(3)-y+9=0 is

Find the set of values of alpha in the interval [ pi/2,3pi/2 ], for which the point ( sin alpha, cos alpha )does not exist outside the parabola 2 y^2 + x - 2 = 0

If point P(alpha, alpha^2-2) lies inside the triangle formed by the lines x + y=1 , y=x + 1 and y=-1 then alpha in

Statement 1: The value of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines x=0,x+y=2 and 3y=x is (0,1)dot Statement 2: The parabola y=x^2 meets the line x+y=2 at (1,1)dot

Set of value of alpha for which the point (alpha,1) lies inside the circle x^(2)+y^(2)-4=0 and parabola y^(2)=4x is

(a) Statement I is true, Statement II is true , Statement II is a correct explanation for statement I. (b) Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I. (C) Statement I is true, Statement II is false. (D) Statement I is false , Statement II is true. Statement I through the point (pi,pi+1),pilt2 , there cannot be more than one normal to the parabola y^2=4ax . Statement II The point (pi,pi+1) cannot lie inside the parabola y^2=4ax .

Statement 1 : (a cos^2 theta, 2a cos theta) is the parametric point of parabola y^2 = 4ax . Statement 2: For all value of theta, -1 le cos theta le1

The angle between the tangents drawn from the point (1,4) to the parabola y^2=4x is (A) pi/6 (B) pi/4 (C) pi/3 (D) pi/2