Question -2
Given two points A ( − 2 , 0 ) , B ( 0 , 4 ) , find the coordinates of a point M lying on the line 2 x − 3 y = 9 so that the perimeter of △ A M B is minimized.
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3 solutions
Given pt.doesnot lie on line ?
I have updated the answer. Can you update your solution too?
Given the error, please show how the point is determined. Thanks.
this question is really simple. first they have given a line equation check for all the points in the options u will c that one option automatically gets eliminated. Then think when the perimeter will be the least . if the point m is most nearer to line ab it will be possible. use distance formula between the given line and the options. after reading mine u will see that a level 4 problem doesn't mean that a beginner((exception when he doesn't know the basics properly ))cant do it.just think for some time before u proceed.
And what would you do if this was a subjective question
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⟹
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First find the mirror reflection of (-2, 0) in the given line 2x - 3y = 9. Perpendicular from (-2, 0) on the line is 3x + 2y + 6 = 0 intersecting at (0, -3). Thus mirror reflection point is (2, -6). Line joining (2, -6) with (0. 4) intersects the given line at (21/17, -37/21) the required point M which makes the perimeter of triangle the least (AB is fixed).
Try my problem "Minimum you can do"