TS EAMCET · Maths · Parabola
The number of points on the parabola at which the slope of the normal drawn at the point is equal to the -coordinate of that point is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
y2=x ⇒4a=1=a=14 Let the point=at2,2at =t24,t2 Now, as y=t2 and x=t24 dydt=12 and dxdt=t2 Slope of the normal =-dxdy=-t So, as given t24=-t t2-4t=0 t=0 and t=4 2 points are possible
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