AP EAMCET · Maths · Differential Equations
At any point on a curve if the length of the subnormal is and the curve passes through then the curve is a conic. A vertex of the curve is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Let the curve be y=fx Length of subnormal is given by ydydx i.e. ydydx=x-1 On integrating, we get y22=x22-x+C Given, the curve passes through 1,2 i.e. C=52 So, y2=x2-2x+5 or y24-x-124=1 is an equation of a hyperbola. Its vertex would lie on 1,±2
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