QJEEM20Ma9bb7: JEE Main 2020 Mathematics - Class 11 JEEM20Ma9bb7 Solution: Let L denote the line in the xy-plane with x and y intercepts…

Question

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Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point (–1, –4) in this line is :

Accepted Answer

Line is

\frac{x}{3} + \frac{y}{1} = 1

\Rightarrow

x + 3y – 3 = 0

Let Image of point (–1, –4) is (

α

,

β

)

Hence,

\frac{α + 1}{1} = \frac{β + 4}{3} = - 2 (\frac{- 1 - 12 - 3}{10})

\Rightarrow

\frac{α + 1}{1} = \frac{β + 4}{3} = \frac{16}{5}

\Rightarrow

α

=

\frac{11}{5}

,

β

=

\frac{28}{5}

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