Question

$A$ssertion ($A$): The point $(5,-2)$ lies outside the ellipse $24x^2+7y^2=12$.
Reason (R): lf the point $(x_1,y_1)$ lie outside the ellipse $S=0$ then $S_{11}>0$

• A. Both A and R are true and R is the correct explanation of A
• B. Both A and R are true but R is not coorect explanation of A
• C. A is true but R is false
• D. A is false but R is true

Answer 1

The correct option is A Both A and R are true and R is the correct explanation of A

$24x^2+7y^2-12=5$
$S(5,-2)=24\times 25+7\times 4-12$
$S(5,-2)>0$
$\therefore$ lies outside the ellipse.
$S=0$
$S\left(x_1{y}_1\right)>0$ the point is outside the ellipse.