0 Deepak BoraNewbie Asked: July 26, 20202020-07-26T21:24:51+05:30 2020-07-26T21:24:51+05:30In: CBSE Find the ratio in which the line x – 3y = 0 divides the line segment joining the points (– 2, – 5) and (6, 3). Find the coordinates of the point of intersection. 0 CBSE 10th Class past year question paper Year 2019 SET 1, Code Number- 30/2/1 Question number – 16 cbse 10th classncert class 10thprevious year paper Share Facebook 1 Answer Voted Oldest Recent Deepak Bora Newbie 2020-07-29T07:36:57+05:30Added an answer on July 29, 2020 at 7:36 am Let the line x – 3y = 0 intersect the segment joining A(–2, –5) and B(6, 3) in the ratio k : 1 ∴ Coordinates of P are [ {(6k – 2) / ( k + 1)}, { ( 3 k – 5 ) / ( k + 1)} ] P lies on x – 3y = 0 {(6k – 2) / ( k + 1)} = 3 { ( 3 k – 5 ) / ( k + 1)} k = 13/3 ∴ Ratio is 13 : 3 Coordinates of P are [ ( 9/2), (3/2) ] 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions The diameter of a circle is 10 cm. Find the length of the arc, when the corresponding central ... A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid ... A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, ... A milk container is made of metal sheet in the shape of frustum of a cone whose volume ... A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm³ ...

Let the line x – 3y = 0 intersect the segment

joining A(–2, –5) and B(6, 3) in the ratio k : 1

∴ Coordinates of P are [ {(6k – 2) / ( k + 1)}, { ( 3 k – 5 ) / ( k + 1)} ]

P lies on x – 3y = 0

{(6k – 2) / ( k + 1)} = 3 { ( 3 k – 5 ) / ( k + 1)}

k = 13/3

∴ Ratio is 13 : 3

Coordinates of P are [ ( 9/2), (3/2) ]