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Find the equation of chord of an ellipse...

Find the equation of chord of an ellipse `(x^(2))/(25)+(y^(2))/(16)=1` joining two points `P((pi)/(3))and Q ((pi)/(6))`

Text Solution

Verified by Experts

Equation of chord PQ is
`(x)/(5)cos(((pi)/(6)+(pi)/(3))/2)+(y)/(4)sin(((pi)/(6)+(pi)/(3))/2)=cos(((pi)/(6)-(pi)/(3))/2)`
`rArr(x)/(5)cos.(pi)/(3)4+(y)/(4)sin.(pi)/(4)=cos.(pi)/(12)`
`rArr(x)/(5)(1)/(sqrt(2))+(y)/(4)(1)/(sqrt(2))=(sqrt(3)+1)/(2sqrt(2))`
`rArr(x)/(5)+(y)/(4)=(sqrt(3)+1)/(2)`
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