Equation of Tangent at a Point (x,y) in Terms of f'(x)
If the area o...
Question
If the area of the triangle formed by the positive x−axis, the normal and the tangent to the circle (x−2)2+(y−3)3=25 at the point (5,7) is A, then 24A is equal to
Open in App
Solution
BONUS QUESTION :
Equation of normal at P is (y−7)=(7−35−2)(x−5) ⇒3y−21=4x−20 ⇒4x−3y+1=0 ⇒M is (−14,0)
Equation of tangent at P is (y−7)=−34(x−5) ⇒4y−28=−3x+15 ⇒3x+4y=43 ⇒N is (433,0)
The question is WRONG. The normal cuts at a point on the negative axis.