The degree and order of the differential equation of the family of all parabolas whose axis is $$x$$-axis, are respectively.
JEE · Math · previous-year question
- A.$$2, 3$$
- B.$$2,1$$
- C.$$1,2$$correct
- D.$$3,2.$$
Answer
C. $$1,2$$
Explanation
General equation of parabola whose axis is along X-axis $${y^2} = 4a\left( {x - h} \right)$$ Differentiating with respect to x, we get $$2y{y_1} = 4a$$ $$ \Rightarrow y{y_1} = 2a$$ Again differentiating with respect to x, we get $$ \Rightarrow {y_1}^2 + y{y_2} = 0$$ Degree $$=1,$$ order $$=2.$$
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