Grade 12th passAnalytical Geometry
if the focus of parabola is ( 2,0 ) and one extremity of latus rectum is (2,2) , then its equation is
if the focus of parabola is ( 2,0 ) and one extremity of latus rectum is (2,2) , then its equation is
1 Answer
Vijay Mukati
Dear Student,
From the given information, It can be seen that the LR is parallel to Y axis. that means tangent at vertex will also be parallel to X. that means, and focus is on X axis, therefore the vertex will also be on the X axis.
So the equation will be of the form: y2 = 4a(x- t), Now satisfy the point (2,2) and put a = 2, You will get the value of t from here.
Thanks.
From the given information, It can be seen that the LR is parallel to Y axis. that means tangent at vertex will also be parallel to X. that means, and focus is on X axis, therefore the vertex will also be on the X axis.
So the equation will be of the form: y2 = 4a(x- t), Now satisfy the point (2,2) and put a = 2, You will get the value of t from here.
Thanks.
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