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CBSE Class 11-science Answered

(2) Find the values of   p  for which three distinct chords drawn from  ( p,0 ) to the ellipse   x^2  +  2y^2  =  1  are bisected by the parabola y^2  = 4x.
Asked by sudhanshubhushanroy | 20 Mar, 2018, 10:13: PM
answered-by-expert Expert Answer
begin mathsize 16px style consider space the space mid space point space of space the space chord space be space left parenthesis straight t squared comma 2 straight t right parenthesis...... space parametric space point space parabola it space must space be space inside space ellipse so space sub space in space ellipse space eqn straight t to the power of 4 plus 8 straight t squared minus 1 less than 0 straight t squared element of open parentheses 0 comma negative 4 plus square root of 17 close parentheses also space equation space of space chord space is straight T equals straight S subscript 1 or space straight t squared straight x plus 4 ty equals straight t to the power of 4 plus 8 straight t squared let space this space passes space through space left parenthesis straight p comma 0 right parenthesis space then straight t squared straight p equals straight t to the power of 4 plus 8 straight t squared straight t squared equals 0 space or space straight t squared equals straight p minus 8 space straight p equals straight t squared plus 8 straight p element of open parentheses 8 comma 4 plus square root of 17 close parentheses end style
Answered by Arun | 24 Mar, 2018, 09:27: PM

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