AP EAMCET20226 Jul 2022Evening ShiftMathematicsEllipseActual
The values of , for which ( , -2) lies inside the ellipse 4 x^2+9 y^2=36 and outside the parabola y^2=x , satisfy
Options
- A0 < < 1
- B0 1
- C0 < < 36 13
- D[1,4]
Correct answer
A. 0 < < 1
Step-by-step solution
The point ( , -2) lies inside the ellipse aligned & 4 x^2+9 y^2=36 & 4 ^2+9( -2)^2 0 & ^2-4 +4- >0 ^2-5 +4>0 & ^2-4 - +4>0 ( -4)( -1)>0 & (- , 1) (4, ) aligned From Eqs. (i) and (ii), we can conclude that 0 < < 1