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Maximum number of common normals of `y^2=4ax and x^2=4by` is ____A. 3B. 4C. 6D. 5 |
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Answer» Correct Answer - D (4) Normal to `y^(2)=4axandx^(2)=4by` in terms of m are `y=mx-2am-am^(3)` `andy=mx+2b+(b)/(m^(2))` For a common normal, `2b+(b)/(m^(2))+2am+am^(3)=0` `oram^(5)+2am^(3)+2bm^(2)+b=0` This means there can be at most five common normals |
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