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The order and degree of the differential equationof all tangent lines to the parabola `y=x^2`is(a)1,2 (b) 2,3(c) 2,1 (d)1,1A. 1,2B. 2,3C. 2,1D. 1,1 |
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Answer» Correct Answer - A The parametric form of the given equation is `x=t, y=t^(2)`. Differentiating, we get `2t=y_(1)`. Putting this value in the equation of tangent, we get `2xy_(1)//2=y+(y_(1)//2)^(2)` or `4xy_(1)=4y+y_(1)^(2)` The order of this equation is one and degree is two. |
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