AP EAMCET Engineering 21 Sep 2020 Shift 1 Paper

Equation of tangent to the ellipse ‌

x2

18

+‌

y2

32

=1
having slope −‌

4

3

is
y=−‌

4

3

x±√18(‌

16

9

)+32
⇒‌‌y=−‌

4

3

x±8
⇒‌‌4x+3y=±24
The tangent 4x+3y=24 cuts the major and minor axes at point P(0,8) and Q(6,0).
And the tangent 4x+3y=−24 cuts the major and minor axes at point P(0,−8) and Q(−6,0).