TS EAMCET · Maths · Ellipse
If the normal drawn at one end of the latus rectum of the ellipse with eccentricity '' passes through one end of the minor axis, then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
b2x2+a2y2=a2b2 ⇒x2a2+y2b2=1 Equation of the normal to x2a2+y2b2=1 at x1, y1 is, a2xx1-b2yy1=a2-b2 ⇒ Normal at ae,b2a to one end of latus rectum is a2xae-b2yb2a=a2-b2 ⇒axe-ay=a2-b2 ⇒ab=a2-b2 ⇒ab=a2-a21-e2=a21-1+e2 ⇒b=ae2 ⇒ba=e2…
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