TS EAMCET · Maths · Parabola
Three normals are drawn from the point to the curve . If one of the normals is -axis, then the value of for which the other two normals are perpendicular to each other is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given curve is y2=x ...1 y2=4·14x Equation (1) represents a parabola, where a=14. The equation of normal to a parabola is y=mx-2am-am3 ⇒y=mx-214m-14m3 ⇒y=mx-m2-m34 The normal passes through (c, 0) ⇒0=mc-m2-m34 ⇒0=mc-12-m24 ⇒m=0…
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