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A curve is given by the equation x=at^2 & y=at^3. A variable pair of perpendicular straight lines through the origin O meet the curve at P and Q. Show that the locus of point of intersection of tangents at P and Q is 4y^2=3ax-a^2.

A curve is given by the equation x=at^2 & y=at^3. A variable pair of perpendicular straight lines through the origin O meet the curve at P and Q. Show that the locus of point of intersection of tangents at P and Q is 4y^2=3ax-a^2.

Grade:upto college level

3 Answers

Girish Kadam
askIITians Faculty 14 Points
10 years ago

182-2307_Solun-page1.jpg
Girish Kadam
askIITians Faculty 14 Points
10 years ago
Dear Student, Please check the answer in the image above. Yash askIITian Faculty
Pranjal K
23 Points
10 years ago
there is no image!!!

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