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If from a point P , tangents P Qa n dP R...

If from a point `P ,` tangents `P Qa n dP R` are drawn to the ellipse `(x^2)/2+y^2=1` so that the equation of `Q R` is `x+3y=1,` then find the coordinates of `Pdot`

Text Solution

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Let coordinates of P be `(x_(1),y_(1))`
Then equation of QR is ltbr?`(x_(1)x)/(2)+y_(1)y)=1" "` ltbr But given equation of QR is
`x+3y=1" "(2)`
Equation (1) and (2) must be identical.
`:. (x_(1))/(2)=(y_(1))/(3)=1`
`rArrx_(1)=2 and y_(1)=3`
`:. P-=(2,3)`
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